--- /dev/null
+/* polytopes --- Shows one of the six regular polytopes rotating in 4d */
+
+#if !defined( lint ) && !defined( SABER )
+static const char sccsid[] = "@(#)polytopes.c 1.1 03/05/18 xlockmore";
+
+#endif
+
+/* Copyright (c) 2003 Carsten Steger <carsten@mirsanmir.org>. */
+
+/*
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose and without fee is hereby granted,
+ * provided that the above copyright notice appear in all copies and that
+ * both that copyright notice and this permission notice appear in
+ * supporting documentation.
+ *
+ * This file is provided AS IS with no warranties of any kind. The author
+ * shall have no liability with respect to the infringement of copyrights,
+ * trade secrets or any patents by this file or any part thereof. In no
+ * event will the author be liable for any lost revenue or profits or
+ * other special, indirect and consequential damages.
+ *
+ * REVISION HISTORY:
+ * C. Steger - 03/08/10: Initial version
+ */
+
+/*
+ * This program shows one of the six regular 4D polytopes rotating in 4D.
+ * Written by Carsten Steger, inspired by H.S.M Coxeter's book "Regular
+ * Polytopes", 3rd Edition, Dover Publications, Inc., 1973, and Thomas
+ * Banchoff's book "Beyond the Third Dimension: Geometry, Computer
+ * Graphics, and Higher Dimensions", Scientific American Library, 1990.
+ */
+
+#ifndef M_PI
+#define M_PI 3.14159265358979323846
+#endif
+
+#define SQRT15OVER4 1.93649167310370844259 /* sqrt(15/4) */
+#define SQRT10OVER3 1.82574185835055371152 /* sqrt(10/3) */
+#define SQRT5OVER2 1.58113883008418966600 /* sqrt(5/2) */
+#define SQRT5OVER6 0.91287092917527685576 /* sqrt(5/6) */
+#define SQRT5OVER12 0.64549722436790281420 /* sqrt(5/12) */
+#define SQRT2 1.41421356237309504880 /* sqrt(2) */
+#define GOLDEN 1.61803398874989484820 /* (sqrt(5)+1)/2 */
+#define GOLDENINV 0.61803398874989484820 /* (sqrt(5)-1)/2 */
+#define SQRT2INV 0.70710678118654752440 /* sqrt(1/2) */
+#define GOLDEN2 1.14412280563536859520 /* ((sqrt(5)+1)/2)/sqrt(2) */
+#define GOLDENINV2 0.43701602444882107080 /* ((sqrt(5)-1)/2)/sqrt(2) */
+#define GOLDEN22 1.85122958682191611960 /* (((sqrt(5)+1)/2)^2)/sqrt(2) */
+#define GOLDENINV22 0.27009075673772645360 /* (((sqrt(5)-1)/2)^2)/sqrt(2) */
+
+#define DISP_WIREFRAME 0
+#define DISP_WIREFRAME_STR "0"
+#define DISP_SURFACE 1
+#define DISP_SURFACE_STR "1"
+#define DISP_TRANSPARENT 2
+#define DISP_TRANSPARENT_STR "2"
+
+#define POLYTOPE_RANDOM -1
+#define POLYTOPE_RANDOM_STR "-1"
+#define POLYTOPE_5_CELL 0
+#define POLYTOPE_5_CELL_STR "0"
+#define POLYTOPE_8_CELL 1
+#define POLYTOPE_8_CELL_STR "1"
+#define POLYTOPE_16_CELL 2
+#define POLYTOPE_16_CELL_STR "2"
+#define POLYTOPE_24_CELL 3
+#define POLYTOPE_24_CELL_STR "3"
+#define POLYTOPE_120_CELL 4
+#define POLYTOPE_120_CELL_STR "4"
+#define POLYTOPE_600_CELL 5
+#define POLYTOPE_600_CELL_STR "5"
+#define POLYTOPE_LAST_CELL POLYTOPE_600_CELL
+
+#define COLORS_SINGLE 0
+#define COLORS_SINGLE_STR "0"
+#define COLORS_DEPTH 1
+#define COLORS_DEPTH_STR "1"
+
+#define DISP_3D_PERSPECTIVE 0
+#define DISP_3D_PERSPECTIVE_STR "0"
+#define DISP_3D_ORTHOGRAPHIC 1
+#define DISP_3D_ORTHOGRAPHIC_STR "1"
+
+#define DISP_4D_PERSPECTIVE 0
+#define DISP_4D_PERSPECTIVE_STR "0"
+#define DISP_4D_ORTHOGRAPHIC 1
+#define DISP_4D_ORTHOGRAPHIC_STR "1"
+
+#define DALPHA 1.1
+#define DALPHA_STR "1.1"
+#define DBETA 1.3
+#define DBETA_STR "1.3"
+#define DDELTA 1.5
+#define DDELTA_STR "1.5"
+#define DZETA 1.7
+#define DZETA_STR "1.7"
+#define DETA 1.9
+#define DETA_STR "1.9"
+#define DTHETA 2.1
+#define DTHETA_STR "2.1"
+
+#define DEF_DISPLAY_MODE DISP_TRANSPARENT_STR
+#define DEF_POLYTOPE POLYTOPE_RANDOM_STR
+#define DEF_COLORS COLORS_DEPTH_STR
+#define DEF_3D_PROJECTION DISP_3D_PERSPECTIVE_STR
+#define DEF_4D_PROJECTION DISP_4D_PERSPECTIVE_STR
+#define DEF_DALPHA DALPHA_STR
+#define DEF_DBETA DBETA_STR
+#define DEF_DDELTA DDELTA_STR
+#define DEF_DZETA DZETA_STR
+#define DEF_DETA DETA_STR
+#define DEF_DTHETA DTHETA_STR
+
+#ifdef STANDALONE
+# define PROGCLASS "Polytopes"
+# define HACK_INIT init_polytopes
+# define HACK_DRAW draw_polytopes
+# define HACK_RESHAPE reshape_polytopes
+# define polytopes_opts xlockmore_opts
+# define DEFAULTS "*delay: 25000 \n" \
+ "*showFPS: False \n" \
+ "*wireframe: False \n" \
+ "*displayMode: " DEF_DISPLAY_MODE " \n" \
+ "*polytope: " DEF_POLYTOPE " \n" \
+ "*colors: " DEF_COLORS " \n" \
+ "*projection3d: " DEF_3D_PROJECTION " \n" \
+ "*projection4d: " DEF_4D_PROJECTION " \n" \
+ "speedwx: " DEF_DALPHA " \n" \
+ "speedwy: " DEF_DBETA " \n" \
+ "speedwz: " DEF_DDELTA " \n" \
+ "speedxy: " DEF_DZETA " \n" \
+ "speedxz: " DEF_DETA " \n" \
+ "speedyz: " DEF_DTHETA " \n"
+# include "xlockmore.h" /* from the xscreensaver distribution */
+#else /* !STANDALONE */
+# include "xlock.h" /* from the xlockmore distribution */
+#endif /* !STANDALONE */
+
+#ifdef USE_GL
+
+#include <GL/gl.h>
+#include <GL/glu.h>
+
+
+#ifdef USE_MODULES
+ModStruct polytopes_description =
+{"polytopes", "init_polytopes", "draw_polytopes", "release_polytopes",
+ "draw_polytopes", "change_polytopes", NULL, &polytopes_opts,
+ 25000, 1, 1, 1, 1.0, 4, "",
+ "Shows one of the six regular 4d polytopes rotating in 4d", 0, NULL};
+
+#endif
+
+
+static int display_mode;
+static int polytope;
+static int color_mode;
+static int projection_3d;
+static int projection_4d;
+static float speed_wx;
+static float speed_wy;
+static float speed_wz;
+static float speed_xy;
+static float speed_xz;
+static float speed_yz;
+
+/* 4D rotation angles */
+static float alpha, beta, delta, zeta, eta, theta;
+static float aspect;
+
+static const float offset4d[4] = { 0.0, 0.0, 0.0, 3.0 };
+static const float offset3d[4] = { 0.0, 0.0, -2.0, 0.0 };
+
+
+static XrmOptionDescRec opts[] =
+{
+ {"-mesh", ".polytopes.displayMode", XrmoptionNoArg,
+ (caddr_t)DISP_WIREFRAME_STR },
+ {"-surface", ".polytopes.displayMode", XrmoptionNoArg,
+ (caddr_t)DISP_SURFACE_STR },
+ {"-transparent", ".polytopes.displayMode", XrmoptionNoArg,
+ (caddr_t)DISP_TRANSPARENT_STR },
+ {"-random", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_RANDOM_STR },
+ {"-5-cell", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_5_CELL_STR },
+ {"-8-cell", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_8_CELL_STR },
+ {"-16-cell", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_16_CELL_STR },
+ {"-24-cell", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_24_CELL_STR },
+ {"-120-cell", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_120_CELL_STR },
+ {"-600-cell", ".polytopes.polytope", XrmoptionNoArg,
+ (caddr_t)POLYTOPE_600_CELL_STR },
+ {"-single-color", ".polytopes.colors", XrmoptionNoArg,
+ (caddr_t)COLORS_SINGLE_STR },
+ {"-depth-colors", ".polytopes.colors", XrmoptionNoArg,
+ (caddr_t)COLORS_DEPTH_STR },
+ {"-perspective-3d", ".polytopes.projection3d", XrmoptionNoArg,
+ (caddr_t)DISP_3D_PERSPECTIVE_STR },
+ {"-orthographic-3d", ".polytopes.projection3d", XrmoptionNoArg,
+ (caddr_t)DISP_3D_ORTHOGRAPHIC_STR },
+ {"-perspective-4d", ".polytopes.projection4d", XrmoptionNoArg,
+ (caddr_t)DISP_4D_PERSPECTIVE_STR },
+ {"-orthographic-4d", ".polytopes.projection4d", XrmoptionNoArg,
+ (caddr_t)DISP_4D_ORTHOGRAPHIC_STR },
+ {"-speed-wx", ".polytopes.speedwx", XrmoptionSepArg,
+ (caddr_t)NULL },
+ {"-speed-wy", ".polytopes.speedwy", XrmoptionSepArg,
+ (caddr_t)NULL },
+ {"-speed-wz", ".polytopes.speedwz", XrmoptionSepArg,
+ (caddr_t)NULL },
+ {"-speed-xy", ".polytopes.speedxy", XrmoptionSepArg,
+ (caddr_t)NULL },
+ {"-speed-xz", ".polytopes.speedxz", XrmoptionSepArg,
+ (caddr_t)NULL },
+ {"-speed-yz", ".polytopes.speedyz", XrmoptionSepArg,
+ (caddr_t)NULL }
+};
+
+static argtype vars[] =
+{
+ { (caddr_t *) &display_mode, "displayMode", "DisplayMode",
+ DEF_DISPLAY_MODE, t_Int },
+ { (caddr_t *) &polytope, "polytope", "Polytope",
+ DEF_POLYTOPE, t_Int },
+ { (caddr_t *) &color_mode, "colors", "Colors",
+ DEF_COLORS, t_Int },
+ { (caddr_t *) &projection_3d, "projection3d", "Projection3d",
+ DEF_3D_PROJECTION, t_Int },
+ { (caddr_t *) &projection_4d, "projection4d", "Projection4d",
+ DEF_4D_PROJECTION, t_Int },
+ { (caddr_t *) &speed_wx, "speedwx", "Speedwx",
+ DEF_DALPHA, t_Float},
+ { (caddr_t *) &speed_wy, "speedwy", "Speedwy",
+ DEF_DBETA, t_Float},
+ { (caddr_t *) &speed_wz, "speedwz", "Speedwz",
+ DEF_DDELTA, t_Float},
+ { (caddr_t *) &speed_xy, "speedxy", "Speedxy",
+ DEF_DZETA, t_Float},
+ { (caddr_t *) &speed_xz, "speedxz", "Speedxz",
+ DEF_DETA, t_Float},
+ { (caddr_t *) &speed_yz, "speedyz", "Speedyz",
+ DEF_DTHETA, t_Float}
+};
+
+static OptionStruct desc[] =
+{
+ { "-mesh", "display the polytope as a wireframe mesh" },
+ { "-surface", "display the polytope as a solid surface" },
+ { "-transparent", "display the polytope as a transparent surface" },
+ { "-solid", "display the polytope as a solid object" },
+ { "-bands", "display the polytope as see-through bands" },
+ { "-twosided", "display the polytope with two colors" },
+ { "-colorwheel", "display the polytope with a smooth color wheel" },
+ { "-perspective-3d", "project the polytope perspectively from 3d to 2d" },
+ { "-orthographic-3d", "project the polytope orthographically from 3d to 2d"},
+ { "-perspective-4d", "project the polytope perspectively from 4d to 3d" },
+ { "-orthographic-4d", "project the polytope orthographically from 4d to 3d"},
+ { "-speed-wx <arg>", "rotation speed around the wx plane" },
+ { "-speed-wy <arg>", "rotation speed around the wy plane" },
+ { "-speed-wz <arg>", "rotation speed around the wz plane" },
+ { "-speed-xy <arg>", "rotation speed around the xy plane" },
+ { "-speed-xz <arg>", "rotation speed around the xz plane" },
+ { "-speed-yz <arg>", "rotation speed around the yz plane" }
+};
+
+ModeSpecOpt polytopes_opts =
+{sizeof opts / sizeof opts[0], opts, sizeof vars / sizeof vars[0], vars, desc};
+
+
+typedef struct {
+ GLint WindH, WindW;
+ GLXContext *glx_context;
+} polytopesstruct;
+
+static polytopesstruct *poly = (polytopesstruct *) NULL;
+
+
+/* Vertex, edge, and face data for the six regular polytopes. All the
+ polytopes are constructed with coordinates chosen such that their 4d
+ circumsphere has a radius of 2. */
+
+/* 5-cell {3,3,3} */
+#define NUM_VERT_5 5
+#define NUM_EDGE_5 10
+#define NUM_FACE_5 10
+#define VERT_PER_FACE_5 3
+
+#define MIN_EDGE_DEPTH_5 (-0.5)
+#define MAX_EDGE_DEPTH_5 0.75
+#define MIN_FACE_DEPTH_5 (-0.5)
+#define MAX_FACE_DEPTH_5 (1.0/3.0)
+
+static float vert_5[NUM_VERT_5][4] = {
+ { -SQRT5OVER2, -SQRT5OVER6, -SQRT5OVER12, -0.5 },
+ { SQRT5OVER2, -SQRT5OVER6, -SQRT5OVER12, -0.5 },
+ { 0.0, SQRT10OVER3, -SQRT5OVER12, -0.5 },
+ { 0.0, 0.0, SQRT15OVER4, -0.5 },
+ { 0.0, 0.0, 0.0, 2.0 }
+};
+
+static int edge_5[NUM_EDGE_5][2] = {
+ { 0, 1 }, { 0, 2 }, { 0, 3 }, { 0, 4 }, { 1, 2 }, { 1, 3 }, { 1, 4 },
+ { 2, 3 }, { 2, 4 }, { 3, 4 }
+};
+
+static int face_5[NUM_FACE_5][VERT_PER_FACE_5] = {
+ { 0, 1, 2 }, { 0, 1, 3 }, { 0, 1, 4 }, { 0, 2, 3 }, { 0, 2, 4 }, { 0, 3, 4 },
+ { 1, 2, 3 }, { 1, 2, 4 }, { 1, 3, 4 }, { 2, 3, 4 }
+};
+
+static float edge_color_5[NUM_EDGE_5][4];
+static float face_color_5[NUM_FACE_5][4];
+static float face_color_trans_5[NUM_FACE_5][4];
+
+
+/* 8-cell {4,3,3} */
+#define NUM_VERT_8 16
+#define NUM_EDGE_8 32
+#define NUM_FACE_8 24
+#define VERT_PER_FACE_8 4
+
+#define MIN_EDGE_DEPTH_8 (-1.0)
+#define MAX_EDGE_DEPTH_8 1.0
+#define MIN_FACE_DEPTH_8 (-1.0)
+#define MAX_FACE_DEPTH_8 1.0
+
+static float vert_8[NUM_VERT_8][4] = {
+ { -1.0, -1.0, -1.0, -1.0 }, { 1.0, -1.0, -1.0, -1.0 },
+ { -1.0, 1.0, -1.0, -1.0 }, { 1.0, 1.0, -1.0, -1.0 },
+ { -1.0, -1.0, 1.0, -1.0 }, { 1.0, -1.0, 1.0, -1.0 },
+ { -1.0, 1.0, 1.0, -1.0 }, { 1.0, 1.0, 1.0, -1.0 },
+ { -1.0, -1.0, -1.0, 1.0 }, { 1.0, -1.0, -1.0, 1.0 },
+ { -1.0, 1.0, -1.0, 1.0 }, { 1.0, 1.0, -1.0, 1.0 },
+ { -1.0, -1.0, 1.0, 1.0 }, { 1.0, -1.0, 1.0, 1.0 },
+ { -1.0, 1.0, 1.0, 1.0 }, { 1.0, 1.0, 1.0, 1.0 }
+};
+
+static int edge_8[NUM_EDGE_8][2] = {
+ { 0, 1 }, { 0, 2 }, { 0, 4 }, { 0, 8 }, { 1, 3 }, { 1, 5 },
+ { 1, 9 }, { 2, 3 }, { 2, 6 }, { 2, 10 }, { 3, 7 }, { 3, 11 },
+ { 4, 5 }, { 4, 6 }, { 4, 12 }, { 5, 7 }, { 5, 13 }, { 6, 7 },
+ { 6, 14 }, { 7, 15 }, { 8, 9 }, { 8, 10 }, { 8, 12 }, { 9, 11 },
+ { 9, 13 }, { 10, 11 }, { 10, 14 }, { 11, 15 }, { 12, 13 }, { 12, 14 },
+ { 13, 15 }, { 14, 15 }
+};
+
+static int face_8[NUM_FACE_8][VERT_PER_FACE_8] = {
+ { 0, 1, 3, 2 }, { 0, 1, 5, 4 }, { 0, 1, 9, 8 },
+ { 0, 2, 6, 4 }, { 0, 2, 10, 8 }, { 0, 4, 12, 8 },
+ { 1, 3, 7, 5 }, { 1, 3, 11, 9 }, { 1, 5, 13, 9 },
+ { 2, 3, 7, 6 }, { 2, 3, 11, 10 }, { 2, 6, 14, 10 },
+ { 3, 7, 15, 11 }, { 4, 5, 7, 6 }, { 4, 5, 13, 12 },
+ { 4, 6, 14, 12 }, { 5, 7, 15, 13 }, { 6, 7, 15, 14 },
+ { 8, 9, 11, 10 }, { 8, 9, 13, 12 }, { 8, 10, 14, 12 },
+ { 9, 11, 15, 13 }, { 10, 11, 15, 14 }, { 12, 13, 15, 14 }
+};
+
+static float edge_color_8[NUM_EDGE_8][4];
+static float face_color_8[NUM_FACE_8][4];
+static float face_color_trans_8[NUM_FACE_8][4];
+
+
+/* 16-cell {3,3,4} */
+#define NUM_VERT_16 8
+#define NUM_EDGE_16 24
+#define NUM_FACE_16 32
+#define VERT_PER_FACE_16 3
+
+#define MIN_EDGE_DEPTH_16 (-1.0)
+#define MAX_EDGE_DEPTH_16 1.0
+#define MIN_FACE_DEPTH_16 (-2.0/3.0)
+#define MAX_FACE_DEPTH_16 (2.0/3.0)
+
+static float vert_16[NUM_VERT_16][4] = {
+ { 0.0, 0.0, 0.0, -2.0 }, { 0.0, 0.0, -2.0, 0.0 },
+ { 0.0, -2.0, 0.0, 0.0 }, { -2.0, 0.0, 0.0, 0.0 },
+ { 2.0, 0.0, 0.0, 0.0 }, { 0.0, 2.0, 0.0, 0.0 },
+ { 0.0, 0.0, 2.0, 0.0 }, { 0.0, 0.0, 0.0, 2.0 }
+};
+
+static int edge_16[NUM_EDGE_16][2] = {
+ { 0, 1 }, { 0, 2 }, { 0, 3 }, { 0, 4 }, { 0, 5 }, { 0, 6 }, { 1, 2 },
+ { 1, 3 }, { 1, 4 }, { 1, 5 }, { 1, 7 }, { 2, 3 }, { 2, 4 }, { 2, 6 },
+ { 2, 7 }, { 3, 5 }, { 3, 6 }, { 3, 7 }, { 4, 5 }, { 4, 6 }, { 4, 7 },
+ { 5, 6 }, { 5, 7 }, { 6, 7 }
+};
+
+static int face_16[NUM_FACE_16][VERT_PER_FACE_16] = {
+ { 0, 1, 2 }, { 0, 1, 3 }, { 0, 1, 4 }, { 0, 1, 5 }, { 0, 2, 3 }, { 0, 2, 4 },
+ { 0, 2, 6 }, { 0, 3, 5 }, { 0, 3, 6 }, { 0, 4, 5 }, { 0, 4, 6 }, { 0, 5, 6 },
+ { 1, 2, 3 }, { 1, 2, 4 }, { 1, 2, 7 }, { 1, 3, 5 }, { 1, 3, 7 }, { 1, 4, 5 },
+ { 1, 4, 7 }, { 1, 5, 7 }, { 2, 3, 6 }, { 2, 3, 7 }, { 2, 4, 6 }, { 2, 4, 7 },
+ { 2, 6, 7 }, { 3, 5, 6 }, { 3, 5, 7 }, { 3, 6, 7 }, { 4, 5, 6 }, { 4, 5, 7 },
+ { 4, 6, 7 }, { 5, 6, 7 }
+};
+
+static float edge_color_16[NUM_EDGE_16][4];
+static float face_color_16[NUM_FACE_16][4];
+static float face_color_trans_16[NUM_FACE_16][4];
+
+
+/* 24-cell {3,4,3} */
+#define NUM_VERT_24 24
+#define NUM_EDGE_24 96
+#define NUM_FACE_24 96
+#define VERT_PER_FACE_24 3
+
+#define MIN_EDGE_DEPTH_24 (-SQRT2)
+#define MAX_EDGE_DEPTH_24 SQRT2
+#define MIN_FACE_DEPTH_24 (-SQRT2)
+#define MAX_FACE_DEPTH_24 SQRT2
+
+static float vert_24[NUM_VERT_24][4] = {
+ { 0.0, 0.0, -SQRT2, -SQRT2 }, { 0.0, -SQRT2, 0.0, -SQRT2 },
+ { -SQRT2, 0.0, 0.0, -SQRT2 }, { SQRT2, 0.0, 0.0, -SQRT2 },
+ { 0.0, SQRT2, 0.0, -SQRT2 }, { 0.0, 0.0, SQRT2, -SQRT2 },
+ { 0.0, -SQRT2, -SQRT2, 0.0 }, { -SQRT2, 0.0, -SQRT2, 0.0 },
+ { SQRT2, 0.0, -SQRT2, 0.0 }, { 0.0, SQRT2, -SQRT2, 0.0 },
+ { -SQRT2, -SQRT2, 0.0, 0.0 }, { SQRT2, -SQRT2, 0.0, 0.0 },
+ { -SQRT2, SQRT2, 0.0, 0.0 }, { SQRT2, SQRT2, 0.0, 0.0 },
+ { 0.0, -SQRT2, SQRT2, 0.0 }, { -SQRT2, 0.0, SQRT2, 0.0 },
+ { SQRT2, 0.0, SQRT2, 0.0 }, { 0.0, SQRT2, SQRT2, 0.0 },
+ { 0.0, 0.0, -SQRT2, SQRT2 }, { 0.0, -SQRT2, 0.0, SQRT2 },
+ { -SQRT2, 0.0, 0.0, SQRT2 }, { SQRT2, 0.0, 0.0, SQRT2 },
+ { 0.0, SQRT2, 0.0, SQRT2 }, { 0.0, 0.0, SQRT2, SQRT2 }
+};
+
+static int edge_24[NUM_EDGE_24][2] = {
+ { 0, 1 }, { 0, 2 }, { 0, 3 }, { 0, 4 }, { 0, 6 }, { 0, 7 },
+ { 0, 8 }, { 0, 9 }, { 1, 2 }, { 1, 3 }, { 1, 5 }, { 1, 6 },
+ { 1, 10 }, { 1, 11 }, { 1, 14 }, { 2, 4 }, { 2, 5 }, { 2, 7 },
+ { 2, 10 }, { 2, 12 }, { 2, 15 }, { 3, 4 }, { 3, 5 }, { 3, 8 },
+ { 3, 11 }, { 3, 13 }, { 3, 16 }, { 4, 5 }, { 4, 9 }, { 4, 12 },
+ { 4, 13 }, { 4, 17 }, { 5, 14 }, { 5, 15 }, { 5, 16 }, { 5, 17 },
+ { 6, 7 }, { 6, 8 }, { 6, 10 }, { 6, 11 }, { 6, 18 }, { 6, 19 },
+ { 7, 9 }, { 7, 10 }, { 7, 12 }, { 7, 18 }, { 7, 20 }, { 8, 9 },
+ { 8, 11 }, { 8, 13 }, { 8, 18 }, { 8, 21 }, { 9, 12 }, { 9, 13 },
+ { 9, 18 }, { 9, 22 }, { 10, 14 }, { 10, 15 }, { 10, 19 }, { 10, 20 },
+ { 11, 14 }, { 11, 16 }, { 11, 19 }, { 11, 21 }, { 12, 15 }, { 12, 17 },
+ { 12, 20 }, { 12, 22 }, { 13, 16 }, { 13, 17 }, { 13, 21 }, { 13, 22 },
+ { 14, 15 }, { 14, 16 }, { 14, 19 }, { 14, 23 }, { 15, 17 }, { 15, 20 },
+ { 15, 23 }, { 16, 17 }, { 16, 21 }, { 16, 23 }, { 17, 22 }, { 17, 23 },
+ { 18, 19 }, { 18, 20 }, { 18, 21 }, { 18, 22 }, { 19, 20 }, { 19, 21 },
+ { 19, 23 }, { 20, 22 }, { 20, 23 }, { 21, 22 }, { 21, 23 }, { 22, 23 }
+};
+
+static int face_24[NUM_FACE_24][VERT_PER_FACE_24] = {
+ { 0, 1, 2 }, { 0, 1, 3 }, { 0, 1, 6 }, { 0, 2, 4 },
+ { 0, 2, 7 }, { 0, 3, 4 }, { 0, 3, 8 }, { 0, 4, 9 },
+ { 0, 6, 7 }, { 0, 6, 8 }, { 0, 7, 9 }, { 0, 8, 9 },
+ { 1, 2, 5 }, { 1, 2, 10 }, { 1, 3, 5 }, { 1, 3, 11 },
+ { 1, 5, 14 }, { 1, 6, 10 }, { 1, 6, 11 }, { 1, 10, 14 },
+ { 1, 11, 14 }, { 2, 4, 5 }, { 2, 4, 12 }, { 2, 5, 15 },
+ { 2, 7, 10 }, { 2, 7, 12 }, { 2, 10, 15 }, { 2, 12, 15 },
+ { 3, 4, 5 }, { 3, 4, 13 }, { 3, 5, 16 }, { 3, 8, 11 },
+ { 3, 8, 13 }, { 3, 11, 16 }, { 3, 13, 16 }, { 4, 5, 17 },
+ { 4, 9, 12 }, { 4, 9, 13 }, { 4, 12, 17 }, { 4, 13, 17 },
+ { 5, 14, 15 }, { 5, 14, 16 }, { 5, 15, 17 }, { 5, 16, 17 },
+ { 6, 7, 10 }, { 6, 7, 18 }, { 6, 8, 11 }, { 6, 8, 18 },
+ { 6, 10, 19 }, { 6, 11, 19 }, { 6, 18, 19 }, { 7, 9, 12 },
+ { 7, 9, 18 }, { 7, 10, 20 }, { 7, 12, 20 }, { 7, 18, 20 },
+ { 8, 9, 13 }, { 8, 9, 18 }, { 8, 11, 21 }, { 8, 13, 21 },
+ { 8, 18, 21 }, { 9, 12, 22 }, { 9, 13, 22 }, { 9, 18, 22 },
+ { 10, 14, 15 }, { 10, 14, 19 }, { 10, 15, 20 }, { 10, 19, 20 },
+ { 11, 14, 16 }, { 11, 14, 19 }, { 11, 16, 21 }, { 11, 19, 21 },
+ { 12, 15, 17 }, { 12, 15, 20 }, { 12, 17, 22 }, { 12, 20, 22 },
+ { 13, 16, 17 }, { 13, 16, 21 }, { 13, 17, 22 }, { 13, 21, 22 },
+ { 14, 15, 23 }, { 14, 16, 23 }, { 14, 19, 23 }, { 15, 17, 23 },
+ { 15, 20, 23 }, { 16, 17, 23 }, { 16, 21, 23 }, { 17, 22, 23 },
+ { 18, 19, 20 }, { 18, 19, 21 }, { 18, 20, 22 }, { 18, 21, 22 },
+ { 19, 20, 23 }, { 19, 21, 23 }, { 20, 22, 23 }, { 21, 22, 23 }
+};
+
+static float edge_color_24[NUM_EDGE_24][4];
+static float face_color_24[NUM_FACE_24][4];
+static float face_color_trans_24[NUM_FACE_24][4];
+
+
+/* 120-cell {5,3,3} */
+#define NUM_VERT_120 600
+#define NUM_EDGE_120 1200
+#define NUM_FACE_120 720
+#define VERT_PER_FACE_120 5
+
+#define MIN_EDGE_DEPTH_120 (-GOLDEN22)
+#define MAX_EDGE_DEPTH_120 GOLDEN22
+#define MIN_FACE_DEPTH_120 (-GOLDEN22)
+#define MAX_FACE_DEPTH_120 GOLDEN22
+
+static float vert_120[NUM_VERT_120][4] = {
+ { -GOLDENINV22, 0.0, -SQRT2INV, -GOLDEN22 },
+ { GOLDENINV22, 0.0, -SQRT2INV, -GOLDEN22 },
+ { -GOLDENINV2, -GOLDENINV2, -GOLDENINV2, -GOLDEN22 },
+ { GOLDENINV2, -GOLDENINV2, -GOLDENINV2, -GOLDEN22 },
+ { -GOLDENINV2, GOLDENINV2, -GOLDENINV2, -GOLDEN22 },
+ { GOLDENINV2, GOLDENINV2, -GOLDENINV2, -GOLDEN22 },
+ { 0.0, -SQRT2INV, -GOLDENINV22, -GOLDEN22 },
+ { 0.0, SQRT2INV, -GOLDENINV22, -GOLDEN22 },
+ { -SQRT2INV, -GOLDENINV22, 0.0, -GOLDEN22 },
+ { SQRT2INV, -GOLDENINV22, 0.0, -GOLDEN22 },
+ { -SQRT2INV, GOLDENINV22, 0.0, -GOLDEN22 },
+ { SQRT2INV, GOLDENINV22, 0.0, -GOLDEN22 },
+ { 0.0, -SQRT2INV, GOLDENINV22, -GOLDEN22 },
+ { 0.0, SQRT2INV, GOLDENINV22, -GOLDEN22 },
+ { -GOLDENINV2, -GOLDENINV2, GOLDENINV2, -GOLDEN22 },
+ { GOLDENINV2, -GOLDENINV2, GOLDENINV2, -GOLDEN22 },
+ { -GOLDENINV2, GOLDENINV2, GOLDENINV2, -GOLDEN22 },
+ { GOLDENINV2, GOLDENINV2, GOLDENINV2, -GOLDEN22 },
+ { -GOLDENINV22, 0.0, SQRT2INV, -GOLDEN22 },
+ { GOLDENINV22, 0.0, SQRT2INV, -GOLDEN22 },
+ { -GOLDENINV2, 0.0, -GOLDEN2, -SQRT5OVER2 },
+ { GOLDENINV2, 0.0, -GOLDEN2, -SQRT5OVER2 },
+ { -SQRT2INV, -SQRT2INV, -SQRT2INV, -SQRT5OVER2 },
+ { SQRT2INV, -SQRT2INV, -SQRT2INV, -SQRT5OVER2 },
+ { -SQRT2INV, SQRT2INV, -SQRT2INV, -SQRT5OVER2 },
+ { SQRT2INV, SQRT2INV, -SQRT2INV, -SQRT5OVER2 },
+ { 0.0, -GOLDEN2, -GOLDENINV2, -SQRT5OVER2 },
+ { 0.0, GOLDEN2, -GOLDENINV2, -SQRT5OVER2 },
+ { -GOLDEN2, -GOLDENINV2, 0.0, -SQRT5OVER2 },
+ { GOLDEN2, -GOLDENINV2, 0.0, -SQRT5OVER2 },
+ { -GOLDEN2, GOLDENINV2, 0.0, -SQRT5OVER2 },
+ { GOLDEN2, GOLDENINV2, 0.0, -SQRT5OVER2 },
+ { 0.0, -GOLDEN2, GOLDENINV2, -SQRT5OVER2 },
+ { 0.0, GOLDEN2, GOLDENINV2, -SQRT5OVER2 },
+ { -SQRT2INV, -SQRT2INV, SQRT2INV, -SQRT5OVER2 },
+ { SQRT2INV, -SQRT2INV, SQRT2INV, -SQRT5OVER2 },
+ { -SQRT2INV, SQRT2INV, SQRT2INV, -SQRT5OVER2 },
+ { SQRT2INV, SQRT2INV, SQRT2INV, -SQRT5OVER2 },
+ { -GOLDENINV2, 0.0, GOLDEN2, -SQRT5OVER2 },
+ { GOLDENINV2, 0.0, GOLDEN2, -SQRT5OVER2 },
+ { 0.0, 0.0, -SQRT2, -SQRT2 },
+ { -SQRT2INV, -GOLDENINV2, -GOLDEN2, -SQRT2 },
+ { SQRT2INV, -GOLDENINV2, -GOLDEN2, -SQRT2 },
+ { -SQRT2INV, GOLDENINV2, -GOLDEN2, -SQRT2 },
+ { SQRT2INV, GOLDENINV2, -GOLDEN2, -SQRT2 },
+ { -GOLDENINV2, -GOLDEN2, -SQRT2INV, -SQRT2 },
+ { GOLDENINV2, -GOLDEN2, -SQRT2INV, -SQRT2 },
+ { -GOLDENINV2, GOLDEN2, -SQRT2INV, -SQRT2 },
+ { GOLDENINV2, GOLDEN2, -SQRT2INV, -SQRT2 },
+ { -GOLDEN2, -SQRT2INV, -GOLDENINV2, -SQRT2 },
+ { GOLDEN2, -SQRT2INV, -GOLDENINV2, -SQRT2 },
+ { -GOLDEN2, SQRT2INV, -GOLDENINV2, -SQRT2 },
+ { GOLDEN2, SQRT2INV, -GOLDENINV2, -SQRT2 },
+ { 0.0, -SQRT2, 0.0, -SQRT2 },
+ { -SQRT2, 0.0, 0.0, -SQRT2 },
+ { SQRT2, 0.0, 0.0, -SQRT2 },
+ { 0.0, SQRT2, 0.0, -SQRT2 },
+ { -GOLDEN2, -SQRT2INV, GOLDENINV2, -SQRT2 },
+ { GOLDEN2, -SQRT2INV, GOLDENINV2, -SQRT2 },
+ { -GOLDEN2, SQRT2INV, GOLDENINV2, -SQRT2 },
+ { GOLDEN2, SQRT2INV, GOLDENINV2, -SQRT2 },
+ { -GOLDENINV2, -GOLDEN2, SQRT2INV, -SQRT2 },
+ { GOLDENINV2, -GOLDEN2, SQRT2INV, -SQRT2 },
+ { -GOLDENINV2, GOLDEN2, SQRT2INV, -SQRT2 },
+ { GOLDENINV2, GOLDEN2, SQRT2INV, -SQRT2 },
+ { -SQRT2INV, -GOLDENINV2, GOLDEN2, -SQRT2 },
+ { SQRT2INV, -GOLDENINV2, GOLDEN2, -SQRT2 },
+ { -SQRT2INV, GOLDENINV2, GOLDEN2, -SQRT2 },
+ { SQRT2INV, GOLDENINV2, GOLDEN2, -SQRT2 },
+ { 0.0, 0.0, SQRT2, -SQRT2 },
+ { 0.0, -GOLDENINV2, -SQRT5OVER2, -GOLDEN2 },
+ { 0.0, GOLDENINV2, -SQRT5OVER2, -GOLDEN2 },
+ { -GOLDENINV2, -SQRT2INV, -SQRT2, -GOLDEN2 },
+ { GOLDENINV2, -SQRT2INV, -SQRT2, -GOLDEN2 },
+ { -GOLDENINV2, SQRT2INV, -SQRT2, -GOLDEN2 },
+ { GOLDENINV2, SQRT2INV, -SQRT2, -GOLDEN2 },
+ { -GOLDENINV22, -GOLDEN2, -GOLDEN2, -GOLDEN2 },
+ { GOLDENINV22, -GOLDEN2, -GOLDEN2, -GOLDEN2 },
+ { -GOLDEN2, -GOLDENINV22, -GOLDEN2, -GOLDEN2 },
+ { GOLDEN2, -GOLDENINV22, -GOLDEN2, -GOLDEN2 },
+ { -GOLDEN2, GOLDENINV22, -GOLDEN2, -GOLDEN2 },
+ { GOLDEN2, GOLDENINV22, -GOLDEN2, -GOLDEN2 },
+ { -GOLDENINV22, GOLDEN2, -GOLDEN2, -GOLDEN2 },
+ { GOLDENINV22, GOLDEN2, -GOLDEN2, -GOLDEN2 },
+ { -SQRT2, -GOLDENINV2, -SQRT2INV, -GOLDEN2 },
+ { SQRT2, -GOLDENINV2, -SQRT2INV, -GOLDEN2 },
+ { -SQRT2, GOLDENINV2, -SQRT2INV, -GOLDEN2 },
+ { SQRT2, GOLDENINV2, -SQRT2INV, -GOLDEN2 },
+ { -SQRT2INV, -SQRT2, -GOLDENINV2, -GOLDEN2 },
+ { SQRT2INV, -SQRT2, -GOLDENINV2, -GOLDEN2 },
+ { -SQRT5OVER2, 0.0, -GOLDENINV2, -GOLDEN2 },
+ { SQRT5OVER2, 0.0, -GOLDENINV2, -GOLDEN2 },
+ { -SQRT2INV, SQRT2, -GOLDENINV2, -GOLDEN2 },
+ { SQRT2INV, SQRT2, -GOLDENINV2, -GOLDEN2 },
+ { -GOLDEN2, -GOLDEN2, -GOLDENINV22, -GOLDEN2 },
+ { GOLDEN2, -GOLDEN2, -GOLDENINV22, -GOLDEN2 },
+ { -GOLDEN2, GOLDEN2, -GOLDENINV22, -GOLDEN2 },
+ { GOLDEN2, GOLDEN2, -GOLDENINV22, -GOLDEN2 },
+ { -GOLDENINV2, -SQRT5OVER2, 0.0, -GOLDEN2 },
+ { GOLDENINV2, -SQRT5OVER2, 0.0, -GOLDEN2 },
+ { -GOLDENINV2, SQRT5OVER2, 0.0, -GOLDEN2 },
+ { GOLDENINV2, SQRT5OVER2, 0.0, -GOLDEN2 },
+ { -GOLDEN2, -GOLDEN2, GOLDENINV22, -GOLDEN2 },
+ { GOLDEN2, -GOLDEN2, GOLDENINV22, -GOLDEN2 },
+ { -GOLDEN2, GOLDEN2, GOLDENINV22, -GOLDEN2 },
+ { GOLDEN2, GOLDEN2, GOLDENINV22, -GOLDEN2 },
+ { -SQRT2INV, -SQRT2, GOLDENINV2, -GOLDEN2 },
+ { SQRT2INV, -SQRT2, GOLDENINV2, -GOLDEN2 },
+ { -SQRT5OVER2, 0.0, GOLDENINV2, -GOLDEN2 },
+ { SQRT5OVER2, 0.0, GOLDENINV2, -GOLDEN2 },
+ { -SQRT2INV, SQRT2, GOLDENINV2, -GOLDEN2 },
+ { SQRT2INV, SQRT2, GOLDENINV2, -GOLDEN2 },
+ { -SQRT2, -GOLDENINV2, SQRT2INV, -GOLDEN2 },
+ { SQRT2, -GOLDENINV2, SQRT2INV, -GOLDEN2 },
+ { -SQRT2, GOLDENINV2, SQRT2INV, -GOLDEN2 },
+ { SQRT2, GOLDENINV2, SQRT2INV, -GOLDEN2 },
+ { -GOLDENINV22, -GOLDEN2, GOLDEN2, -GOLDEN2 },
+ { GOLDENINV22, -GOLDEN2, GOLDEN2, -GOLDEN2 },
+ { -GOLDEN2, -GOLDENINV22, GOLDEN2, -GOLDEN2 },
+ { GOLDEN2, -GOLDENINV22, GOLDEN2, -GOLDEN2 },
+ { -GOLDEN2, GOLDENINV22, GOLDEN2, -GOLDEN2 },
+ { GOLDEN2, GOLDENINV22, GOLDEN2, -GOLDEN2 },
+ { -GOLDENINV22, GOLDEN2, GOLDEN2, -GOLDEN2 },
+ { GOLDENINV22, GOLDEN2, GOLDEN2, -GOLDEN2 },
+ { -GOLDENINV2, -SQRT2INV, SQRT2, -GOLDEN2 },
+ { GOLDENINV2, -SQRT2INV, SQRT2, -GOLDEN2 },
+ { -GOLDENINV2, SQRT2INV, SQRT2, -GOLDEN2 },
+ { GOLDENINV2, SQRT2INV, SQRT2, -GOLDEN2 },
+ { 0.0, -GOLDENINV2, SQRT5OVER2, -GOLDEN2 },
+ { 0.0, GOLDENINV2, SQRT5OVER2, -GOLDEN2 },
+ { 0.0, -GOLDENINV22, -GOLDEN22, -SQRT2INV },
+ { 0.0, GOLDENINV22, -GOLDEN22, -SQRT2INV },
+ { -SQRT2INV, -SQRT2INV, -SQRT5OVER2, -SQRT2INV },
+ { SQRT2INV, -SQRT2INV, -SQRT5OVER2, -SQRT2INV },
+ { -SQRT2INV, SQRT2INV, -SQRT5OVER2, -SQRT2INV },
+ { SQRT2INV, SQRT2INV, -SQRT5OVER2, -SQRT2INV },
+ { -GOLDEN2, -GOLDENINV2, -SQRT2, -SQRT2INV },
+ { GOLDEN2, -GOLDENINV2, -SQRT2, -SQRT2INV },
+ { -GOLDEN2, GOLDENINV2, -SQRT2, -SQRT2INV },
+ { GOLDEN2, GOLDENINV2, -SQRT2, -SQRT2INV },
+ { -GOLDENINV2, -SQRT2, -GOLDEN2, -SQRT2INV },
+ { GOLDENINV2, -SQRT2, -GOLDEN2, -SQRT2INV },
+ { -GOLDENINV2, SQRT2, -GOLDEN2, -SQRT2INV },
+ { GOLDENINV2, SQRT2, -GOLDEN2, -SQRT2INV },
+ { -SQRT2INV, -SQRT5OVER2, -SQRT2INV, -SQRT2INV },
+ { SQRT2INV, -SQRT5OVER2, -SQRT2INV, -SQRT2INV },
+ { -SQRT5OVER2, -SQRT2INV, -SQRT2INV, -SQRT2INV },
+ { SQRT5OVER2, -SQRT2INV, -SQRT2INV, -SQRT2INV },
+ { -SQRT5OVER2, SQRT2INV, -SQRT2INV, -SQRT2INV },
+ { SQRT5OVER2, SQRT2INV, -SQRT2INV, -SQRT2INV },
+ { -SQRT2INV, SQRT5OVER2, -SQRT2INV, -SQRT2INV },
+ { SQRT2INV, SQRT5OVER2, -SQRT2INV, -SQRT2INV },
+ { -SQRT2, -GOLDEN2, -GOLDENINV2, -SQRT2INV },
+ { SQRT2, -GOLDEN2, -GOLDENINV2, -SQRT2INV },
+ { -SQRT2, GOLDEN2, -GOLDENINV2, -SQRT2INV },
+ { SQRT2, GOLDEN2, -GOLDENINV2, -SQRT2INV },
+ { -GOLDEN22, 0.0, -GOLDENINV22, -SQRT2INV },
+ { GOLDEN22, 0.0, -GOLDENINV22, -SQRT2INV },
+ { -GOLDENINV22, -GOLDEN22, 0.0, -SQRT2INV },
+ { GOLDENINV22, -GOLDEN22, 0.0, -SQRT2INV },
+ { -GOLDENINV22, GOLDEN22, 0.0, -SQRT2INV },
+ { GOLDENINV22, GOLDEN22, 0.0, -SQRT2INV },
+ { -GOLDEN22, 0.0, GOLDENINV22, -SQRT2INV },
+ { GOLDEN22, 0.0, GOLDENINV22, -SQRT2INV },
+ { -SQRT2, -GOLDEN2, GOLDENINV2, -SQRT2INV },
+ { SQRT2, -GOLDEN2, GOLDENINV2, -SQRT2INV },
+ { -SQRT2, GOLDEN2, GOLDENINV2, -SQRT2INV },
+ { SQRT2, GOLDEN2, GOLDENINV2, -SQRT2INV },
+ { -SQRT2INV, -SQRT5OVER2, SQRT2INV, -SQRT2INV },
+ { SQRT2INV, -SQRT5OVER2, SQRT2INV, -SQRT2INV },
+ { -SQRT5OVER2, -SQRT2INV, SQRT2INV, -SQRT2INV },
+ { SQRT5OVER2, -SQRT2INV, SQRT2INV, -SQRT2INV },
+ { -SQRT5OVER2, SQRT2INV, SQRT2INV, -SQRT2INV },
+ { SQRT5OVER2, SQRT2INV, SQRT2INV, -SQRT2INV },
+ { -SQRT2INV, SQRT5OVER2, SQRT2INV, -SQRT2INV },
+ { SQRT2INV, SQRT5OVER2, SQRT2INV, -SQRT2INV },
+ { -GOLDENINV2, -SQRT2, GOLDEN2, -SQRT2INV },
+ { GOLDENINV2, -SQRT2, GOLDEN2, -SQRT2INV },
+ { -GOLDENINV2, SQRT2, GOLDEN2, -SQRT2INV },
+ { GOLDENINV2, SQRT2, GOLDEN2, -SQRT2INV },
+ { -GOLDEN2, -GOLDENINV2, SQRT2, -SQRT2INV },
+ { GOLDEN2, -GOLDENINV2, SQRT2, -SQRT2INV },
+ { -GOLDEN2, GOLDENINV2, SQRT2, -SQRT2INV },
+ { GOLDEN2, GOLDENINV2, SQRT2, -SQRT2INV },
+ { -SQRT2INV, -SQRT2INV, SQRT5OVER2, -SQRT2INV },
+ { SQRT2INV, -SQRT2INV, SQRT5OVER2, -SQRT2INV },
+ { -SQRT2INV, SQRT2INV, SQRT5OVER2, -SQRT2INV },
+ { SQRT2INV, SQRT2INV, SQRT5OVER2, -SQRT2INV },
+ { 0.0, -GOLDENINV22, GOLDEN22, -SQRT2INV },
+ { 0.0, GOLDENINV22, GOLDEN22, -SQRT2INV },
+ { -GOLDENINV2, -GOLDENINV2, -GOLDEN22, -GOLDENINV2 },
+ { GOLDENINV2, -GOLDENINV2, -GOLDEN22, -GOLDENINV2 },
+ { -GOLDENINV2, GOLDENINV2, -GOLDEN22, -GOLDENINV2 },
+ { GOLDENINV2, GOLDENINV2, -GOLDEN22, -GOLDENINV2 },
+ { -GOLDEN2, 0.0, -SQRT5OVER2, -GOLDENINV2 },
+ { GOLDEN2, 0.0, -SQRT5OVER2, -GOLDENINV2 },
+ { -SQRT2INV, -GOLDEN2, -SQRT2, -GOLDENINV2 },
+ { SQRT2INV, -GOLDEN2, -SQRT2, -GOLDENINV2 },
+ { -SQRT2INV, GOLDEN2, -SQRT2, -GOLDENINV2 },
+ { SQRT2INV, GOLDEN2, -SQRT2, -GOLDENINV2 },
+ { 0.0, -SQRT5OVER2, -GOLDEN2, -GOLDENINV2 },
+ { -SQRT2, -SQRT2INV, -GOLDEN2, -GOLDENINV2 },
+ { SQRT2, -SQRT2INV, -GOLDEN2, -GOLDENINV2 },
+ { -SQRT2, SQRT2INV, -GOLDEN2, -GOLDENINV2 },
+ { SQRT2, SQRT2INV, -GOLDEN2, -GOLDENINV2 },
+ { 0.0, SQRT5OVER2, -GOLDEN2, -GOLDENINV2 },
+ { -GOLDEN2, -SQRT2, -SQRT2INV, -GOLDENINV2 },
+ { GOLDEN2, -SQRT2, -SQRT2INV, -GOLDENINV2 },
+ { -GOLDEN2, SQRT2, -SQRT2INV, -GOLDENINV2 },
+ { GOLDEN2, SQRT2, -SQRT2INV, -GOLDENINV2 },
+ { -GOLDENINV2, -GOLDEN22, -GOLDENINV2, -GOLDENINV2 },
+ { GOLDENINV2, -GOLDEN22, -GOLDENINV2, -GOLDENINV2 },
+ { -GOLDEN22, -GOLDENINV2, -GOLDENINV2, -GOLDENINV2 },
+ { GOLDEN22, -GOLDENINV2, -GOLDENINV2, -GOLDENINV2 },
+ { -GOLDEN22, GOLDENINV2, -GOLDENINV2, -GOLDENINV2 },
+ { GOLDEN22, GOLDENINV2, -GOLDENINV2, -GOLDENINV2 },
+ { -GOLDENINV2, GOLDEN22, -GOLDENINV2, -GOLDENINV2 },
+ { GOLDENINV2, GOLDEN22, -GOLDENINV2, -GOLDENINV2 },
+ { -SQRT5OVER2, -GOLDEN2, 0.0, -GOLDENINV2 },
+ { SQRT5OVER2, -GOLDEN2, 0.0, -GOLDENINV2 },
+ { -SQRT5OVER2, GOLDEN2, 0.0, -GOLDENINV2 },
+ { SQRT5OVER2, GOLDEN2, 0.0, -GOLDENINV2 },
+ { -GOLDENINV2, -GOLDEN22, GOLDENINV2, -GOLDENINV2 },
+ { GOLDENINV2, -GOLDEN22, GOLDENINV2, -GOLDENINV2 },
+ { -GOLDEN22, -GOLDENINV2, GOLDENINV2, -GOLDENINV2 },
+ { GOLDEN22, -GOLDENINV2, GOLDENINV2, -GOLDENINV2 },
+ { -GOLDEN22, GOLDENINV2, GOLDENINV2, -GOLDENINV2 },
+ { GOLDEN22, GOLDENINV2, GOLDENINV2, -GOLDENINV2 },
+ { -GOLDENINV2, GOLDEN22, GOLDENINV2, -GOLDENINV2 },
+ { GOLDENINV2, GOLDEN22, GOLDENINV2, -GOLDENINV2 },
+ { -GOLDEN2, -SQRT2, SQRT2INV, -GOLDENINV2 },
+ { GOLDEN2, -SQRT2, SQRT2INV, -GOLDENINV2 },
+ { -GOLDEN2, SQRT2, SQRT2INV, -GOLDENINV2 },
+ { GOLDEN2, SQRT2, SQRT2INV, -GOLDENINV2 },
+ { 0.0, -SQRT5OVER2, GOLDEN2, -GOLDENINV2 },
+ { -SQRT2, -SQRT2INV, GOLDEN2, -GOLDENINV2 },
+ { SQRT2, -SQRT2INV, GOLDEN2, -GOLDENINV2 },
+ { -SQRT2, SQRT2INV, GOLDEN2, -GOLDENINV2 },
+ { SQRT2, SQRT2INV, GOLDEN2, -GOLDENINV2 },
+ { 0.0, SQRT5OVER2, GOLDEN2, -GOLDENINV2 },
+ { -SQRT2INV, -GOLDEN2, SQRT2, -GOLDENINV2 },
+ { SQRT2INV, -GOLDEN2, SQRT2, -GOLDENINV2 },
+ { -SQRT2INV, GOLDEN2, SQRT2, -GOLDENINV2 },
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+ { -GOLDENINV2, SQRT2INV, SQRT2, GOLDEN2 },
+ { GOLDENINV2, SQRT2INV, SQRT2, GOLDEN2 },
+ { 0.0, -GOLDENINV2, SQRT5OVER2, GOLDEN2 },
+ { 0.0, GOLDENINV2, SQRT5OVER2, GOLDEN2 },
+ { 0.0, 0.0, -SQRT2, SQRT2 },
+ { -SQRT2INV, -GOLDENINV2, -GOLDEN2, SQRT2 },
+ { SQRT2INV, -GOLDENINV2, -GOLDEN2, SQRT2 },
+ { -SQRT2INV, GOLDENINV2, -GOLDEN2, SQRT2 },
+ { SQRT2INV, GOLDENINV2, -GOLDEN2, SQRT2 },
+ { -GOLDENINV2, -GOLDEN2, -SQRT2INV, SQRT2 },
+ { GOLDENINV2, -GOLDEN2, -SQRT2INV, SQRT2 },
+ { -GOLDENINV2, GOLDEN2, -SQRT2INV, SQRT2 },
+ { GOLDENINV2, GOLDEN2, -SQRT2INV, SQRT2 },
+ { -GOLDEN2, -SQRT2INV, -GOLDENINV2, SQRT2 },
+ { GOLDEN2, -SQRT2INV, -GOLDENINV2, SQRT2 },
+ { -GOLDEN2, SQRT2INV, -GOLDENINV2, SQRT2 },
+ { GOLDEN2, SQRT2INV, -GOLDENINV2, SQRT2 },
+ { 0.0, -SQRT2, 0.0, SQRT2 },
+ { -SQRT2, 0.0, 0.0, SQRT2 },
+ { SQRT2, 0.0, 0.0, SQRT2 },
+ { 0.0, SQRT2, 0.0, SQRT2 },
+ { -GOLDEN2, -SQRT2INV, GOLDENINV2, SQRT2 },
+ { GOLDEN2, -SQRT2INV, GOLDENINV2, SQRT2 },
+ { -GOLDEN2, SQRT2INV, GOLDENINV2, SQRT2 },
+ { GOLDEN2, SQRT2INV, GOLDENINV2, SQRT2 },
+ { -GOLDENINV2, -GOLDEN2, SQRT2INV, SQRT2 },
+ { GOLDENINV2, -GOLDEN2, SQRT2INV, SQRT2 },
+ { -GOLDENINV2, GOLDEN2, SQRT2INV, SQRT2 },
+ { GOLDENINV2, GOLDEN2, SQRT2INV, SQRT2 },
+ { -SQRT2INV, -GOLDENINV2, GOLDEN2, SQRT2 },
+ { SQRT2INV, -GOLDENINV2, GOLDEN2, SQRT2 },
+ { -SQRT2INV, GOLDENINV2, GOLDEN2, SQRT2 },
+ { SQRT2INV, GOLDENINV2, GOLDEN2, SQRT2 },
+ { 0.0, 0.0, SQRT2, SQRT2 },
+ { -GOLDENINV2, 0.0, -GOLDEN2, SQRT5OVER2 },
+ { GOLDENINV2, 0.0, -GOLDEN2, SQRT5OVER2 },
+ { -SQRT2INV, -SQRT2INV, -SQRT2INV, SQRT5OVER2 },
+ { SQRT2INV, -SQRT2INV, -SQRT2INV, SQRT5OVER2 },
+ { -SQRT2INV, SQRT2INV, -SQRT2INV, SQRT5OVER2 },
+ { SQRT2INV, SQRT2INV, -SQRT2INV, SQRT5OVER2 },
+ { 0.0, -GOLDEN2, -GOLDENINV2, SQRT5OVER2 },
+ { 0.0, GOLDEN2, -GOLDENINV2, SQRT5OVER2 },
+ { -GOLDEN2, -GOLDENINV2, 0.0, SQRT5OVER2 },
+ { GOLDEN2, -GOLDENINV2, 0.0, SQRT5OVER2 },
+ { -GOLDEN2, GOLDENINV2, 0.0, SQRT5OVER2 },
+ { GOLDEN2, GOLDENINV2, 0.0, SQRT5OVER2 },
+ { 0.0, -GOLDEN2, GOLDENINV2, SQRT5OVER2 },
+ { 0.0, GOLDEN2, GOLDENINV2, SQRT5OVER2 },
+ { -SQRT2INV, -SQRT2INV, SQRT2INV, SQRT5OVER2 },
+ { SQRT2INV, -SQRT2INV, SQRT2INV, SQRT5OVER2 },
+ { -SQRT2INV, SQRT2INV, SQRT2INV, SQRT5OVER2 },
+ { SQRT2INV, SQRT2INV, SQRT2INV, SQRT5OVER2 },
+ { -GOLDENINV2, 0.0, GOLDEN2, SQRT5OVER2 },
+ { GOLDENINV2, 0.0, GOLDEN2, SQRT5OVER2 },
+ { -GOLDENINV22, 0.0, -SQRT2INV, GOLDEN22 },
+ { GOLDENINV22, 0.0, -SQRT2INV, GOLDEN22 },
+ { -GOLDENINV2, -GOLDENINV2, -GOLDENINV2, GOLDEN22 },
+ { GOLDENINV2, -GOLDENINV2, -GOLDENINV2, GOLDEN22 },
+ { -GOLDENINV2, GOLDENINV2, -GOLDENINV2, GOLDEN22 },
+ { GOLDENINV2, GOLDENINV2, -GOLDENINV2, GOLDEN22 },
+ { 0.0, -SQRT2INV, -GOLDENINV22, GOLDEN22 },
+ { 0.0, SQRT2INV, -GOLDENINV22, GOLDEN22 },
+ { -SQRT2INV, -GOLDENINV22, 0.0, GOLDEN22 },
+ { SQRT2INV, -GOLDENINV22, 0.0, GOLDEN22 },
+ { -SQRT2INV, GOLDENINV22, 0.0, GOLDEN22 },
+ { SQRT2INV, GOLDENINV22, 0.0, GOLDEN22 },
+ { 0.0, -SQRT2INV, GOLDENINV22, GOLDEN22 },
+ { 0.0, SQRT2INV, GOLDENINV22, GOLDEN22 },
+ { -GOLDENINV2, -GOLDENINV2, GOLDENINV2, GOLDEN22 },
+ { GOLDENINV2, -GOLDENINV2, GOLDENINV2, GOLDEN22 },
+ { -GOLDENINV2, GOLDENINV2, GOLDENINV2, GOLDEN22 },
+ { GOLDENINV2, GOLDENINV2, GOLDENINV2, GOLDEN22 },
+ { -GOLDENINV22, 0.0, SQRT2INV, GOLDEN22 },
+ { GOLDENINV22, 0.0, SQRT2INV, GOLDEN22 }
+};
+
+static int edge_120[NUM_EDGE_120][2] = {
+ { 0, 1 }, { 0, 2 }, { 0, 4 }, { 0, 20 }, { 1, 3 },
+ { 1, 5 }, { 1, 21 }, { 2, 6 }, { 2, 8 }, { 2, 22 },
+ { 3, 6 }, { 3, 9 }, { 3, 23 }, { 4, 7 }, { 4, 10 },
+ { 4, 24 }, { 5, 7 }, { 5, 11 }, { 5, 25 }, { 6, 12 },
+ { 6, 26 }, { 7, 13 }, { 7, 27 }, { 8, 10 }, { 8, 14 },
+ { 8, 28 }, { 9, 11 }, { 9, 15 }, { 9, 29 }, { 10, 16 },
+ { 10, 30 }, { 11, 17 }, { 11, 31 }, { 12, 14 }, { 12, 15 },
+ { 12, 32 }, { 13, 16 }, { 13, 17 }, { 13, 33 }, { 14, 18 },
+ { 14, 34 }, { 15, 19 }, { 15, 35 }, { 16, 18 }, { 16, 36 },
+ { 17, 19 }, { 17, 37 }, { 18, 19 }, { 18, 38 }, { 19, 39 },
+ { 20, 40 }, { 20, 41 }, { 20, 43 }, { 21, 40 }, { 21, 42 },
+ { 21, 44 }, { 22, 41 }, { 22, 45 }, { 22, 49 }, { 23, 42 },
+ { 23, 46 }, { 23, 50 }, { 24, 43 }, { 24, 47 }, { 24, 51 },
+ { 25, 44 }, { 25, 48 }, { 25, 52 }, { 26, 45 }, { 26, 46 },
+ { 26, 53 }, { 27, 47 }, { 27, 48 }, { 27, 56 }, { 28, 49 },
+ { 28, 54 }, { 28, 57 }, { 29, 50 }, { 29, 55 }, { 29, 58 },
+ { 30, 51 }, { 30, 54 }, { 30, 59 }, { 31, 52 }, { 31, 55 },
+ { 31, 60 }, { 32, 53 }, { 32, 61 }, { 32, 62 }, { 33, 56 },
+ { 33, 63 }, { 33, 64 }, { 34, 57 }, { 34, 61 }, { 34, 65 },
+ { 35, 58 }, { 35, 62 }, { 35, 66 }, { 36, 59 }, { 36, 63 },
+ { 36, 67 }, { 37, 60 }, { 37, 64 }, { 37, 68 }, { 38, 65 },
+ { 38, 67 }, { 38, 69 }, { 39, 66 }, { 39, 68 }, { 39, 69 },
+ { 40, 70 }, { 40, 71 }, { 41, 72 }, { 41, 78 }, { 42, 73 },
+ { 42, 79 }, { 43, 74 }, { 43, 80 }, { 44, 75 }, { 44, 81 },
+ { 45, 76 }, { 45, 88 }, { 46, 77 }, { 46, 89 }, { 47, 82 },
+ { 47, 92 }, { 48, 83 }, { 48, 93 }, { 49, 84 }, { 49, 94 },
+ { 50, 85 }, { 50, 95 }, { 51, 86 }, { 51, 96 }, { 52, 87 },
+ { 52, 97 }, { 53, 98 }, { 53, 99 }, { 54, 90 }, { 54, 108 },
+ { 55, 91 }, { 55, 109 }, { 56, 100 }, { 56, 101 }, { 57, 102 },
+ { 57, 112 }, { 58, 103 }, { 58, 113 }, { 59, 104 }, { 59, 114 },
+ { 60, 105 }, { 60, 115 }, { 61, 106 }, { 61, 116 }, { 62, 107 },
+ { 62, 117 }, { 63, 110 }, { 63, 122 }, { 64, 111 }, { 64, 123 },
+ { 65, 118 }, { 65, 124 }, { 66, 119 }, { 66, 125 }, { 67, 120 },
+ { 67, 126 }, { 68, 121 }, { 68, 127 }, { 69, 128 }, { 69, 129 },
+ { 70, 72 }, { 70, 73 }, { 70, 130 }, { 71, 74 }, { 71, 75 },
+ { 71, 131 }, { 72, 76 }, { 72, 132 }, { 73, 77 }, { 73, 133 },
+ { 74, 82 }, { 74, 134 }, { 75, 83 }, { 75, 135 }, { 76, 77 },
+ { 76, 140 }, { 77, 141 }, { 78, 80 }, { 78, 84 }, { 78, 136 },
+ { 79, 81 }, { 79, 85 }, { 79, 137 }, { 80, 86 }, { 80, 138 },
+ { 81, 87 }, { 81, 139 }, { 82, 83 }, { 82, 142 }, { 83, 143 },
+ { 84, 90 }, { 84, 146 }, { 85, 91 }, { 85, 147 }, { 86, 90 },
+ { 86, 148 }, { 87, 91 }, { 87, 149 }, { 88, 94 }, { 88, 98 },
+ { 88, 144 }, { 89, 95 }, { 89, 99 }, { 89, 145 }, { 90, 156 },
+ { 91, 157 }, { 92, 96 }, { 92, 100 }, { 92, 150 }, { 93, 97 },
+ { 93, 101 }, { 93, 151 }, { 94, 102 }, { 94, 152 }, { 95, 103 },
+ { 95, 153 }, { 96, 104 }, { 96, 154 }, { 97, 105 }, { 97, 155 },
+ { 98, 106 }, { 98, 158 }, { 99, 107 }, { 99, 159 }, { 100, 110 },
+ { 100, 160 }, { 101, 111 }, { 101, 161 }, { 102, 106 }, { 102, 164 },
+ { 103, 107 }, { 103, 165 }, { 104, 110 }, { 104, 166 }, { 105, 111 },
+ { 105, 167 }, { 106, 168 }, { 107, 169 }, { 108, 112 }, { 108, 114 },
+ { 108, 162 }, { 109, 113 }, { 109, 115 }, { 109, 163 }, { 110, 174 },
+ { 111, 175 }, { 112, 118 }, { 112, 170 }, { 113, 119 }, { 113, 171 },
+ { 114, 120 }, { 114, 172 }, { 115, 121 }, { 115, 173 }, { 116, 117 },
+ { 116, 124 }, { 116, 176 }, { 117, 125 }, { 117, 177 }, { 118, 120 },
+ { 118, 180 }, { 119, 121 }, { 119, 181 }, { 120, 182 }, { 121, 183 },
+ { 122, 123 }, { 122, 126 }, { 122, 178 }, { 123, 127 }, { 123, 179 },
+ { 124, 128 }, { 124, 184 }, { 125, 128 }, { 125, 185 }, { 126, 129 },
+ { 126, 186 }, { 127, 129 }, { 127, 187 }, { 128, 188 }, { 129, 189 },
+ { 130, 131 }, { 130, 190 }, { 130, 191 }, { 131, 192 }, { 131, 193 },
+ { 132, 136 }, { 132, 190 }, { 132, 196 }, { 133, 137 }, { 133, 191 },
+ { 133, 197 }, { 134, 138 }, { 134, 192 }, { 134, 198 }, { 135, 139 },
+ { 135, 193 }, { 135, 199 }, { 136, 194 }, { 136, 201 }, { 137, 195 },
+ { 137, 202 }, { 138, 194 }, { 138, 203 }, { 139, 195 }, { 139, 204 },
+ { 140, 144 }, { 140, 196 }, { 140, 200 }, { 141, 145 }, { 141, 197 },
+ { 141, 200 }, { 142, 150 }, { 142, 198 }, { 142, 205 }, { 143, 151 },
+ { 143, 199 }, { 143, 205 }, { 144, 206 }, { 144, 210 }, { 145, 207 },
+ { 145, 211 }, { 146, 152 }, { 146, 201 }, { 146, 212 }, { 147, 153 },
+ { 147, 202 }, { 147, 213 }, { 148, 154 }, { 148, 203 }, { 148, 214 },
+ { 149, 155 }, { 149, 204 }, { 149, 215 }, { 150, 208 }, { 150, 216 },
+ { 151, 209 }, { 151, 217 }, { 152, 206 }, { 152, 218 }, { 153, 207 },
+ { 153, 219 }, { 154, 208 }, { 154, 220 }, { 155, 209 }, { 155, 221 },
+ { 156, 162 }, { 156, 212 }, { 156, 214 }, { 157, 163 }, { 157, 213 },
+ { 157, 215 }, { 158, 159 }, { 158, 210 }, { 158, 222 }, { 159, 211 },
+ { 159, 223 }, { 160, 161 }, { 160, 216 }, { 160, 228 }, { 161, 217 },
+ { 161, 229 }, { 162, 224 }, { 162, 226 }, { 163, 225 }, { 163, 227 },
+ { 164, 170 }, { 164, 218 }, { 164, 230 }, { 165, 171 }, { 165, 219 },
+ { 165, 231 }, { 166, 172 }, { 166, 220 }, { 166, 232 }, { 167, 173 },
+ { 167, 221 }, { 167, 233 }, { 168, 176 }, { 168, 222 }, { 168, 230 },
+ { 169, 177 }, { 169, 223 }, { 169, 231 }, { 170, 224 }, { 170, 235 },
+ { 171, 225 }, { 171, 236 }, { 172, 226 }, { 172, 237 }, { 173, 227 },
+ { 173, 238 }, { 174, 178 }, { 174, 228 }, { 174, 232 }, { 175, 179 },
+ { 175, 229 }, { 175, 233 }, { 176, 234 }, { 176, 240 }, { 177, 234 },
+ { 177, 241 }, { 178, 239 }, { 178, 242 }, { 179, 239 }, { 179, 243 },
+ { 180, 184 }, { 180, 235 }, { 180, 244 }, { 181, 185 }, { 181, 236 },
+ { 181, 245 }, { 182, 186 }, { 182, 237 }, { 182, 244 }, { 183, 187 },
+ { 183, 238 }, { 183, 245 }, { 184, 240 }, { 184, 246 }, { 185, 241 },
+ { 185, 247 }, { 186, 242 }, { 186, 248 }, { 187, 243 }, { 187, 249 },
+ { 188, 189 }, { 188, 246 }, { 188, 247 }, { 189, 248 }, { 189, 249 },
+ { 190, 250 }, { 190, 270 }, { 191, 251 }, { 191, 271 }, { 192, 250 },
+ { 192, 272 }, { 193, 251 }, { 193, 273 }, { 194, 250 }, { 194, 279 },
+ { 195, 251 }, { 195, 280 }, { 196, 252 }, { 196, 274 }, { 197, 253 },
+ { 197, 275 }, { 198, 254 }, { 198, 276 }, { 199, 255 }, { 199, 277 },
+ { 200, 256 }, { 200, 278 }, { 201, 252 }, { 201, 282 }, { 202, 253 },
+ { 202, 283 }, { 203, 254 }, { 203, 284 }, { 204, 255 }, { 204, 285 },
+ { 205, 257 }, { 205, 281 }, { 206, 252 }, { 206, 290 }, { 207, 253 },
+ { 207, 291 }, { 208, 254 }, { 208, 292 }, { 209, 255 }, { 209, 293 },
+ { 210, 256 }, { 210, 294 }, { 211, 256 }, { 211, 295 }, { 212, 258 },
+ { 212, 286 }, { 213, 259 }, { 213, 287 }, { 214, 260 }, { 214, 288 },
+ { 215, 261 }, { 215, 289 }, { 216, 257 }, { 216, 296 }, { 217, 257 },
+ { 217, 297 }, { 218, 258 }, { 218, 298 }, { 219, 259 }, { 219, 299 },
+ { 220, 260 }, { 220, 300 }, { 221, 261 }, { 221, 301 }, { 222, 262 },
+ { 222, 302 }, { 223, 262 }, { 223, 303 }, { 224, 258 }, { 224, 310 },
+ { 225, 259 }, { 225, 311 }, { 226, 260 }, { 226, 312 }, { 227, 261 },
+ { 227, 313 }, { 228, 263 }, { 228, 304 }, { 229, 263 }, { 229, 305 },
+ { 230, 264 }, { 230, 306 }, { 231, 265 }, { 231, 307 }, { 232, 266 },
+ { 232, 308 }, { 233, 267 }, { 233, 309 }, { 234, 262 }, { 234, 318 },
+ { 235, 264 }, { 235, 314 }, { 236, 265 }, { 236, 315 }, { 237, 266 },
+ { 237, 316 }, { 238, 267 }, { 238, 317 }, { 239, 263 }, { 239, 321 },
+ { 240, 264 }, { 240, 322 }, { 241, 265 }, { 241, 323 }, { 242, 266 },
+ { 242, 324 }, { 243, 267 }, { 243, 325 }, { 244, 268 }, { 244, 319 },
+ { 245, 269 }, { 245, 320 }, { 246, 268 }, { 246, 326 }, { 247, 269 },
+ { 247, 327 }, { 248, 268 }, { 248, 328 }, { 249, 269 }, { 249, 329 },
+ { 250, 330 }, { 251, 331 }, { 252, 332 }, { 253, 333 }, { 254, 334 },
+ { 255, 335 }, { 256, 336 }, { 257, 337 }, { 258, 338 }, { 259, 339 },
+ { 260, 340 }, { 261, 341 }, { 262, 342 }, { 263, 343 }, { 264, 344 },
+ { 265, 345 }, { 266, 346 }, { 267, 347 }, { 268, 348 }, { 269, 349 },
+ { 270, 271 }, { 270, 274 }, { 270, 350 }, { 271, 275 }, { 271, 351 },
+ { 272, 273 }, { 272, 276 }, { 272, 352 }, { 273, 277 }, { 273, 353 },
+ { 274, 278 }, { 274, 356 }, { 275, 278 }, { 275, 357 }, { 276, 281 },
+ { 276, 358 }, { 277, 281 }, { 277, 359 }, { 278, 360 }, { 279, 282 },
+ { 279, 284 }, { 279, 354 }, { 280, 283 }, { 280, 285 }, { 280, 355 },
+ { 281, 365 }, { 282, 286 }, { 282, 361 }, { 283, 287 }, { 283, 362 },
+ { 284, 288 }, { 284, 363 }, { 285, 289 }, { 285, 364 }, { 286, 288 },
+ { 286, 372 }, { 287, 289 }, { 287, 373 }, { 288, 374 }, { 289, 375 },
+ { 290, 294 }, { 290, 298 }, { 290, 366 }, { 291, 295 }, { 291, 299 },
+ { 291, 367 }, { 292, 296 }, { 292, 300 }, { 292, 368 }, { 293, 297 },
+ { 293, 301 }, { 293, 369 }, { 294, 302 }, { 294, 370 }, { 295, 303 },
+ { 295, 371 }, { 296, 304 }, { 296, 376 }, { 297, 305 }, { 297, 377 },
+ { 298, 306 }, { 298, 378 }, { 299, 307 }, { 299, 379 }, { 300, 308 },
+ { 300, 380 }, { 301, 309 }, { 301, 381 }, { 302, 306 }, { 302, 382 },
+ { 303, 307 }, { 303, 383 }, { 304, 308 }, { 304, 388 }, { 305, 309 },
+ { 305, 389 }, { 306, 390 }, { 307, 391 }, { 308, 392 }, { 309, 393 },
+ { 310, 312 }, { 310, 314 }, { 310, 384 }, { 311, 313 }, { 311, 315 },
+ { 311, 385 }, { 312, 316 }, { 312, 386 }, { 313, 317 }, { 313, 387 },
+ { 314, 319 }, { 314, 395 }, { 315, 320 }, { 315, 396 }, { 316, 319 },
+ { 316, 397 }, { 317, 320 }, { 317, 398 }, { 318, 322 }, { 318, 323 },
+ { 318, 394 }, { 319, 404 }, { 320, 405 }, { 321, 324 }, { 321, 325 },
+ { 321, 399 }, { 322, 326 }, { 322, 400 }, { 323, 327 }, { 323, 401 },
+ { 324, 328 }, { 324, 402 }, { 325, 329 }, { 325, 403 }, { 326, 327 },
+ { 326, 406 }, { 327, 407 }, { 328, 329 }, { 328, 408 }, { 329, 409 },
+ { 330, 350 }, { 330, 352 }, { 330, 354 }, { 331, 351 }, { 331, 353 },
+ { 331, 355 }, { 332, 356 }, { 332, 361 }, { 332, 366 }, { 333, 357 },
+ { 333, 362 }, { 333, 367 }, { 334, 358 }, { 334, 363 }, { 334, 368 },
+ { 335, 359 }, { 335, 364 }, { 335, 369 }, { 336, 360 }, { 336, 370 },
+ { 336, 371 }, { 337, 365 }, { 337, 376 }, { 337, 377 }, { 338, 372 },
+ { 338, 378 }, { 338, 384 }, { 339, 373 }, { 339, 379 }, { 339, 385 },
+ { 340, 374 }, { 340, 380 }, { 340, 386 }, { 341, 375 }, { 341, 381 },
+ { 341, 387 }, { 342, 382 }, { 342, 383 }, { 342, 394 }, { 343, 388 },
+ { 343, 389 }, { 343, 399 }, { 344, 390 }, { 344, 395 }, { 344, 400 },
+ { 345, 391 }, { 345, 396 }, { 345, 401 }, { 346, 392 }, { 346, 397 },
+ { 346, 402 }, { 347, 393 }, { 347, 398 }, { 347, 403 }, { 348, 404 },
+ { 348, 406 }, { 348, 408 }, { 349, 405 }, { 349, 407 }, { 349, 409 },
+ { 350, 410 }, { 350, 412 }, { 351, 410 }, { 351, 413 }, { 352, 411 },
+ { 352, 414 }, { 353, 411 }, { 353, 415 }, { 354, 416 }, { 354, 418 },
+ { 355, 417 }, { 355, 419 }, { 356, 412 }, { 356, 420 }, { 357, 413 },
+ { 357, 421 }, { 358, 414 }, { 358, 422 }, { 359, 415 }, { 359, 423 },
+ { 360, 420 }, { 360, 421 }, { 361, 416 }, { 361, 426 }, { 362, 417 },
+ { 362, 427 }, { 363, 418 }, { 363, 428 }, { 364, 419 }, { 364, 429 },
+ { 365, 422 }, { 365, 423 }, { 366, 424 }, { 366, 432 }, { 367, 425 },
+ { 367, 433 }, { 368, 430 }, { 368, 434 }, { 369, 431 }, { 369, 435 },
+ { 370, 424 }, { 370, 438 }, { 371, 425 }, { 371, 439 }, { 372, 426 },
+ { 372, 436 }, { 373, 427 }, { 373, 437 }, { 374, 428 }, { 374, 436 },
+ { 375, 429 }, { 375, 437 }, { 376, 430 }, { 376, 440 }, { 377, 431 },
+ { 377, 441 }, { 378, 432 }, { 378, 444 }, { 379, 433 }, { 379, 445 },
+ { 380, 434 }, { 380, 446 }, { 381, 435 }, { 381, 447 }, { 382, 438 },
+ { 382, 448 }, { 383, 439 }, { 383, 449 }, { 384, 442 }, { 384, 450 },
+ { 385, 443 }, { 385, 451 }, { 386, 442 }, { 386, 452 }, { 387, 443 },
+ { 387, 453 }, { 388, 440 }, { 388, 454 }, { 389, 441 }, { 389, 455 },
+ { 390, 444 }, { 390, 448 }, { 391, 445 }, { 391, 449 }, { 392, 446 },
+ { 392, 454 }, { 393, 447 }, { 393, 455 }, { 394, 456 }, { 394, 457 },
+ { 395, 450 }, { 395, 460 }, { 396, 451 }, { 396, 461 }, { 397, 452 },
+ { 397, 462 }, { 398, 453 }, { 398, 463 }, { 399, 458 }, { 399, 459 },
+ { 400, 456 }, { 400, 464 }, { 401, 457 }, { 401, 465 }, { 402, 458 },
+ { 402, 466 }, { 403, 459 }, { 403, 467 }, { 404, 460 }, { 404, 462 },
+ { 405, 461 }, { 405, 463 }, { 406, 464 }, { 406, 468 }, { 407, 465 },
+ { 407, 468 }, { 408, 466 }, { 408, 469 }, { 409, 467 }, { 409, 469 },
+ { 410, 411 }, { 410, 470 }, { 411, 471 }, { 412, 416 }, { 412, 472 },
+ { 413, 417 }, { 413, 473 }, { 414, 418 }, { 414, 474 }, { 415, 419 },
+ { 415, 475 }, { 416, 478 }, { 417, 479 }, { 418, 480 }, { 419, 481 },
+ { 420, 424 }, { 420, 476 }, { 421, 425 }, { 421, 477 }, { 422, 430 },
+ { 422, 482 }, { 423, 431 }, { 423, 483 }, { 424, 488 }, { 425, 489 },
+ { 426, 432 }, { 426, 484 }, { 427, 433 }, { 427, 485 }, { 428, 434 },
+ { 428, 486 }, { 429, 435 }, { 429, 487 }, { 430, 492 }, { 431, 493 },
+ { 432, 494 }, { 433, 495 }, { 434, 496 }, { 435, 497 }, { 436, 442 },
+ { 436, 490 }, { 437, 443 }, { 437, 491 }, { 438, 439 }, { 438, 498 },
+ { 439, 499 }, { 440, 441 }, { 440, 500 }, { 441, 501 }, { 442, 508 },
+ { 443, 509 }, { 444, 450 }, { 444, 502 }, { 445, 451 }, { 445, 503 },
+ { 446, 452 }, { 446, 504 }, { 447, 453 }, { 447, 505 }, { 448, 456 },
+ { 448, 506 }, { 449, 457 }, { 449, 507 }, { 450, 512 }, { 451, 513 },
+ { 452, 514 }, { 453, 515 }, { 454, 458 }, { 454, 510 }, { 455, 459 },
+ { 455, 511 }, { 456, 516 }, { 457, 517 }, { 458, 522 }, { 459, 523 },
+ { 460, 464 }, { 460, 518 }, { 461, 465 }, { 461, 519 }, { 462, 466 },
+ { 462, 520 }, { 463, 467 }, { 463, 521 }, { 464, 524 }, { 465, 525 },
+ { 466, 526 }, { 467, 527 }, { 468, 469 }, { 468, 528 }, { 469, 529 },
+ { 470, 472 }, { 470, 473 }, { 470, 530 }, { 471, 474 }, { 471, 475 },
+ { 471, 530 }, { 472, 476 }, { 472, 531 }, { 473, 477 }, { 473, 532 },
+ { 474, 482 }, { 474, 533 }, { 475, 483 }, { 475, 534 }, { 476, 477 },
+ { 476, 535 }, { 477, 536 }, { 478, 480 }, { 478, 484 }, { 478, 531 },
+ { 479, 481 }, { 479, 485 }, { 479, 532 }, { 480, 486 }, { 480, 533 },
+ { 481, 487 }, { 481, 534 }, { 482, 483 }, { 482, 537 }, { 483, 538 },
+ { 484, 490 }, { 484, 539 }, { 485, 491 }, { 485, 540 }, { 486, 490 },
+ { 486, 541 }, { 487, 491 }, { 487, 542 }, { 488, 494 }, { 488, 498 },
+ { 488, 535 }, { 489, 495 }, { 489, 499 }, { 489, 536 }, { 490, 544 },
+ { 491, 545 }, { 492, 496 }, { 492, 500 }, { 492, 537 }, { 493, 497 },
+ { 493, 501 }, { 493, 538 }, { 494, 502 }, { 494, 539 }, { 495, 503 },
+ { 495, 540 }, { 496, 504 }, { 496, 541 }, { 497, 505 }, { 497, 542 },
+ { 498, 506 }, { 498, 543 }, { 499, 507 }, { 499, 543 }, { 500, 510 },
+ { 500, 546 }, { 501, 511 }, { 501, 546 }, { 502, 506 }, { 502, 547 },
+ { 503, 507 }, { 503, 548 }, { 504, 510 }, { 504, 549 }, { 505, 511 },
+ { 505, 550 }, { 506, 551 }, { 507, 552 }, { 508, 512 }, { 508, 514 },
+ { 508, 544 }, { 509, 513 }, { 509, 515 }, { 509, 545 }, { 510, 553 },
+ { 511, 554 }, { 512, 518 }, { 512, 547 }, { 513, 519 }, { 513, 548 },
+ { 514, 520 }, { 514, 549 }, { 515, 521 }, { 515, 550 }, { 516, 517 },
+ { 516, 524 }, { 516, 551 }, { 517, 525 }, { 517, 552 }, { 518, 520 },
+ { 518, 555 }, { 519, 521 }, { 519, 556 }, { 520, 557 }, { 521, 558 },
+ { 522, 523 }, { 522, 526 }, { 522, 553 }, { 523, 527 }, { 523, 554 },
+ { 524, 528 }, { 524, 555 }, { 525, 528 }, { 525, 556 }, { 526, 529 },
+ { 526, 557 }, { 527, 529 }, { 527, 558 }, { 528, 559 }, { 529, 559 },
+ { 530, 560 }, { 530, 561 }, { 531, 560 }, { 531, 562 }, { 532, 561 },
+ { 532, 563 }, { 533, 560 }, { 533, 564 }, { 534, 561 }, { 534, 565 },
+ { 535, 562 }, { 535, 566 }, { 536, 563 }, { 536, 566 }, { 537, 564 },
+ { 537, 567 }, { 538, 565 }, { 538, 567 }, { 539, 562 }, { 539, 568 },
+ { 540, 563 }, { 540, 569 }, { 541, 564 }, { 541, 570 }, { 542, 565 },
+ { 542, 571 }, { 543, 566 }, { 543, 572 }, { 544, 568 }, { 544, 570 },
+ { 545, 569 }, { 545, 571 }, { 546, 567 }, { 546, 573 }, { 547, 568 },
+ { 547, 574 }, { 548, 569 }, { 548, 575 }, { 549, 570 }, { 549, 576 },
+ { 550, 571 }, { 550, 577 }, { 551, 572 }, { 551, 574 }, { 552, 572 },
+ { 552, 575 }, { 553, 573 }, { 553, 576 }, { 554, 573 }, { 554, 577 },
+ { 555, 574 }, { 555, 578 }, { 556, 575 }, { 556, 579 }, { 557, 576 },
+ { 557, 578 }, { 558, 577 }, { 558, 579 }, { 559, 578 }, { 559, 579 },
+ { 560, 580 }, { 561, 581 }, { 562, 582 }, { 563, 583 }, { 564, 584 },
+ { 565, 585 }, { 566, 586 }, { 567, 587 }, { 568, 588 }, { 569, 589 },
+ { 570, 590 }, { 571, 591 }, { 572, 592 }, { 573, 593 }, { 574, 594 },
+ { 575, 595 }, { 576, 596 }, { 577, 597 }, { 578, 598 }, { 579, 599 },
+ { 580, 581 }, { 580, 582 }, { 580, 584 }, { 581, 583 }, { 581, 585 },
+ { 582, 586 }, { 582, 588 }, { 583, 586 }, { 583, 589 }, { 584, 587 },
+ { 584, 590 }, { 585, 587 }, { 585, 591 }, { 586, 592 }, { 587, 593 },
+ { 588, 590 }, { 588, 594 }, { 589, 591 }, { 589, 595 }, { 590, 596 },
+ { 591, 597 }, { 592, 594 }, { 592, 595 }, { 593, 596 }, { 593, 597 },
+ { 594, 598 }, { 595, 599 }, { 596, 598 }, { 597, 599 }, { 598, 599 }
+};
+
+static int face_120[NUM_FACE_120][VERT_PER_FACE_120] = {
+ { 0, 1, 3, 6, 2 }, { 0, 1, 5, 7, 4 },
+ { 0, 1, 21, 40, 20 }, { 0, 2, 8, 10, 4 },
+ { 0, 2, 22, 41, 20 }, { 0, 4, 24, 43, 20 },
+ { 1, 3, 9, 11, 5 }, { 1, 3, 23, 42, 21 },
+ { 1, 5, 25, 44, 21 }, { 2, 6, 12, 14, 8 },
+ { 2, 6, 26, 45, 22 }, { 2, 8, 28, 49, 22 },
+ { 3, 6, 12, 15, 9 }, { 3, 6, 26, 46, 23 },
+ { 3, 9, 29, 50, 23 }, { 4, 7, 13, 16, 10 },
+ { 4, 7, 27, 47, 24 }, { 4, 10, 30, 51, 24 },
+ { 5, 7, 13, 17, 11 }, { 5, 7, 27, 48, 25 },
+ { 5, 11, 31, 52, 25 }, { 6, 12, 32, 53, 26 },
+ { 7, 13, 33, 56, 27 }, { 8, 10, 16, 18, 14 },
+ { 8, 10, 30, 54, 28 }, { 8, 14, 34, 57, 28 },
+ { 9, 11, 17, 19, 15 }, { 9, 11, 31, 55, 29 },
+ { 9, 15, 35, 58, 29 }, { 10, 16, 36, 59, 30 },
+ { 11, 17, 37, 60, 31 }, { 12, 14, 18, 19, 15 },
+ { 12, 14, 34, 61, 32 }, { 12, 15, 35, 62, 32 },
+ { 13, 16, 18, 19, 17 }, { 13, 16, 36, 63, 33 },
+ { 13, 17, 37, 64, 33 }, { 14, 18, 38, 65, 34 },
+ { 15, 19, 39, 66, 35 }, { 16, 18, 38, 67, 36 },
+ { 17, 19, 39, 68, 37 }, { 18, 19, 39, 69, 38 },
+ { 20, 40, 70, 72, 41 }, { 20, 40, 71, 74, 43 },
+ { 20, 41, 78, 80, 43 }, { 21, 40, 70, 73, 42 },
+ { 21, 40, 71, 75, 44 }, { 21, 42, 79, 81, 44 },
+ { 22, 41, 72, 76, 45 }, { 22, 41, 78, 84, 49 },
+ { 22, 45, 88, 94, 49 }, { 23, 42, 73, 77, 46 },
+ { 23, 42, 79, 85, 50 }, { 23, 46, 89, 95, 50 },
+ { 24, 43, 74, 82, 47 }, { 24, 43, 80, 86, 51 },
+ { 24, 47, 92, 96, 51 }, { 25, 44, 75, 83, 48 },
+ { 25, 44, 81, 87, 52 }, { 25, 48, 93, 97, 52 },
+ { 26, 45, 76, 77, 46 }, { 26, 45, 88, 98, 53 },
+ { 26, 46, 89, 99, 53 }, { 27, 47, 82, 83, 48 },
+ { 27, 47, 92, 100, 56 }, { 27, 48, 93, 101, 56 },
+ { 28, 49, 84, 90, 54 }, { 28, 49, 94, 102, 57 },
+ { 28, 54, 108, 112, 57 }, { 29, 50, 85, 91, 55 },
+ { 29, 50, 95, 103, 58 }, { 29, 55, 109, 113, 58 },
+ { 30, 51, 86, 90, 54 }, { 30, 51, 96, 104, 59 },
+ { 30, 54, 108, 114, 59 }, { 31, 52, 87, 91, 55 },
+ { 31, 52, 97, 105, 60 }, { 31, 55, 109, 115, 60 },
+ { 32, 53, 98, 106, 61 }, { 32, 53, 99, 107, 62 },
+ { 32, 61, 116, 117, 62 }, { 33, 56, 100, 110, 63 },
+ { 33, 56, 101, 111, 64 }, { 33, 63, 122, 123, 64 },
+ { 34, 57, 102, 106, 61 }, { 34, 57, 112, 118, 65 },
+ { 34, 61, 116, 124, 65 }, { 35, 58, 103, 107, 62 },
+ { 35, 58, 113, 119, 66 }, { 35, 62, 117, 125, 66 },
+ { 36, 59, 104, 110, 63 }, { 36, 59, 114, 120, 67 },
+ { 36, 63, 122, 126, 67 }, { 37, 60, 105, 111, 64 },
+ { 37, 60, 115, 121, 68 }, { 37, 64, 123, 127, 68 },
+ { 38, 65, 118, 120, 67 }, { 38, 65, 124, 128, 69 },
+ { 38, 67, 126, 129, 69 }, { 39, 66, 119, 121, 68 },
+ { 39, 66, 125, 128, 69 }, { 39, 68, 127, 129, 69 },
+ { 40, 70, 130, 131, 71 }, { 41, 72, 132, 136, 78 },
+ { 42, 73, 133, 137, 79 }, { 43, 74, 134, 138, 80 },
+ { 44, 75, 135, 139, 81 }, { 45, 76, 140, 144, 88 },
+ { 46, 77, 141, 145, 89 }, { 47, 82, 142, 150, 92 },
+ { 48, 83, 143, 151, 93 }, { 49, 84, 146, 152, 94 },
+ { 50, 85, 147, 153, 95 }, { 51, 86, 148, 154, 96 },
+ { 52, 87, 149, 155, 97 }, { 53, 98, 158, 159, 99 },
+ { 54, 90, 156, 162, 108 }, { 55, 91, 157, 163, 109 },
+ { 56, 100, 160, 161, 101 }, { 57, 102, 164, 170, 112 },
+ { 58, 103, 165, 171, 113 }, { 59, 104, 166, 172, 114 },
+ { 60, 105, 167, 173, 115 }, { 61, 106, 168, 176, 116 },
+ { 62, 107, 169, 177, 117 }, { 63, 110, 174, 178, 122 },
+ { 64, 111, 175, 179, 123 }, { 65, 118, 180, 184, 124 },
+ { 66, 119, 181, 185, 125 }, { 67, 120, 182, 186, 126 },
+ { 68, 121, 183, 187, 127 }, { 69, 128, 188, 189, 129 },
+ { 70, 72, 76, 77, 73 }, { 70, 72, 132, 190, 130 },
+ { 70, 73, 133, 191, 130 }, { 71, 74, 82, 83, 75 },
+ { 71, 74, 134, 192, 131 }, { 71, 75, 135, 193, 131 },
+ { 72, 76, 140, 196, 132 }, { 73, 77, 141, 197, 133 },
+ { 74, 82, 142, 198, 134 }, { 75, 83, 143, 199, 135 },
+ { 76, 77, 141, 200, 140 }, { 78, 80, 86, 90, 84 },
+ { 78, 80, 138, 194, 136 }, { 78, 84, 146, 201, 136 },
+ { 79, 81, 87, 91, 85 }, { 79, 81, 139, 195, 137 },
+ { 79, 85, 147, 202, 137 }, { 80, 86, 148, 203, 138 },
+ { 81, 87, 149, 204, 139 }, { 82, 83, 143, 205, 142 },
+ { 84, 90, 156, 212, 146 }, { 85, 91, 157, 213, 147 },
+ { 86, 90, 156, 214, 148 }, { 87, 91, 157, 215, 149 },
+ { 88, 94, 102, 106, 98 }, { 88, 94, 152, 206, 144 },
+ { 88, 98, 158, 210, 144 }, { 89, 95, 103, 107, 99 },
+ { 89, 95, 153, 207, 145 }, { 89, 99, 159, 211, 145 },
+ { 92, 96, 104, 110, 100 }, { 92, 96, 154, 208, 150 },
+ { 92, 100, 160, 216, 150 }, { 93, 97, 105, 111, 101 },
+ { 93, 97, 155, 209, 151 }, { 93, 101, 161, 217, 151 },
+ { 94, 102, 164, 218, 152 }, { 95, 103, 165, 219, 153 },
+ { 96, 104, 166, 220, 154 }, { 97, 105, 167, 221, 155 },
+ { 98, 106, 168, 222, 158 }, { 99, 107, 169, 223, 159 },
+ { 100, 110, 174, 228, 160 }, { 101, 111, 175, 229, 161 },
+ { 102, 106, 168, 230, 164 }, { 103, 107, 169, 231, 165 },
+ { 104, 110, 174, 232, 166 }, { 105, 111, 175, 233, 167 },
+ { 108, 112, 118, 120, 114 }, { 108, 112, 170, 224, 162 },
+ { 108, 114, 172, 226, 162 }, { 109, 113, 119, 121, 115 },
+ { 109, 113, 171, 225, 163 }, { 109, 115, 173, 227, 163 },
+ { 112, 118, 180, 235, 170 }, { 113, 119, 181, 236, 171 },
+ { 114, 120, 182, 237, 172 }, { 115, 121, 183, 238, 173 },
+ { 116, 117, 125, 128, 124 }, { 116, 117, 177, 234, 176 },
+ { 116, 124, 184, 240, 176 }, { 117, 125, 185, 241, 177 },
+ { 118, 120, 182, 244, 180 }, { 119, 121, 183, 245, 181 },
+ { 122, 123, 127, 129, 126 }, { 122, 123, 179, 239, 178 },
+ { 122, 126, 186, 242, 178 }, { 123, 127, 187, 243, 179 },
+ { 124, 128, 188, 246, 184 }, { 125, 128, 188, 247, 185 },
+ { 126, 129, 189, 248, 186 }, { 127, 129, 189, 249, 187 },
+ { 130, 131, 192, 250, 190 }, { 130, 131, 193, 251, 191 },
+ { 130, 190, 270, 271, 191 }, { 131, 192, 272, 273, 193 },
+ { 132, 136, 194, 250, 190 }, { 132, 136, 201, 252, 196 },
+ { 132, 190, 270, 274, 196 }, { 133, 137, 195, 251, 191 },
+ { 133, 137, 202, 253, 197 }, { 133, 191, 271, 275, 197 },
+ { 134, 138, 194, 250, 192 }, { 134, 138, 203, 254, 198 },
+ { 134, 192, 272, 276, 198 }, { 135, 139, 195, 251, 193 },
+ { 135, 139, 204, 255, 199 }, { 135, 193, 273, 277, 199 },
+ { 136, 194, 279, 282, 201 }, { 137, 195, 280, 283, 202 },
+ { 138, 194, 279, 284, 203 }, { 139, 195, 280, 285, 204 },
+ { 140, 144, 206, 252, 196 }, { 140, 144, 210, 256, 200 },
+ { 140, 196, 274, 278, 200 }, { 141, 145, 207, 253, 197 },
+ { 141, 145, 211, 256, 200 }, { 141, 197, 275, 278, 200 },
+ { 142, 150, 208, 254, 198 }, { 142, 150, 216, 257, 205 },
+ { 142, 198, 276, 281, 205 }, { 143, 151, 209, 255, 199 },
+ { 143, 151, 217, 257, 205 }, { 143, 199, 277, 281, 205 },
+ { 144, 206, 290, 294, 210 }, { 145, 207, 291, 295, 211 },
+ { 146, 152, 206, 252, 201 }, { 146, 152, 218, 258, 212 },
+ { 146, 201, 282, 286, 212 }, { 147, 153, 207, 253, 202 },
+ { 147, 153, 219, 259, 213 }, { 147, 202, 283, 287, 213 },
+ { 148, 154, 208, 254, 203 }, { 148, 154, 220, 260, 214 },
+ { 148, 203, 284, 288, 214 }, { 149, 155, 209, 255, 204 },
+ { 149, 155, 221, 261, 215 }, { 149, 204, 285, 289, 215 },
+ { 150, 208, 292, 296, 216 }, { 151, 209, 293, 297, 217 },
+ { 152, 206, 290, 298, 218 }, { 153, 207, 291, 299, 219 },
+ { 154, 208, 292, 300, 220 }, { 155, 209, 293, 301, 221 },
+ { 156, 162, 224, 258, 212 }, { 156, 162, 226, 260, 214 },
+ { 156, 212, 286, 288, 214 }, { 157, 163, 225, 259, 213 },
+ { 157, 163, 227, 261, 215 }, { 157, 213, 287, 289, 215 },
+ { 158, 159, 211, 256, 210 }, { 158, 159, 223, 262, 222 },
+ { 158, 210, 294, 302, 222 }, { 159, 211, 295, 303, 223 },
+ { 160, 161, 217, 257, 216 }, { 160, 161, 229, 263, 228 },
+ { 160, 216, 296, 304, 228 }, { 161, 217, 297, 305, 229 },
+ { 162, 224, 310, 312, 226 }, { 163, 225, 311, 313, 227 },
+ { 164, 170, 224, 258, 218 }, { 164, 170, 235, 264, 230 },
+ { 164, 218, 298, 306, 230 }, { 165, 171, 225, 259, 219 },
+ { 165, 171, 236, 265, 231 }, { 165, 219, 299, 307, 231 },
+ { 166, 172, 226, 260, 220 }, { 166, 172, 237, 266, 232 },
+ { 166, 220, 300, 308, 232 }, { 167, 173, 227, 261, 221 },
+ { 167, 173, 238, 267, 233 }, { 167, 221, 301, 309, 233 },
+ { 168, 176, 234, 262, 222 }, { 168, 176, 240, 264, 230 },
+ { 168, 222, 302, 306, 230 }, { 169, 177, 234, 262, 223 },
+ { 169, 177, 241, 265, 231 }, { 169, 223, 303, 307, 231 },
+ { 170, 224, 310, 314, 235 }, { 171, 225, 311, 315, 236 },
+ { 172, 226, 312, 316, 237 }, { 173, 227, 313, 317, 238 },
+ { 174, 178, 239, 263, 228 }, { 174, 178, 242, 266, 232 },
+ { 174, 228, 304, 308, 232 }, { 175, 179, 239, 263, 229 },
+ { 175, 179, 243, 267, 233 }, { 175, 229, 305, 309, 233 },
+ { 176, 234, 318, 322, 240 }, { 177, 234, 318, 323, 241 },
+ { 178, 239, 321, 324, 242 }, { 179, 239, 321, 325, 243 },
+ { 180, 184, 240, 264, 235 }, { 180, 184, 246, 268, 244 },
+ { 180, 235, 314, 319, 244 }, { 181, 185, 241, 265, 236 },
+ { 181, 185, 247, 269, 245 }, { 181, 236, 315, 320, 245 },
+ { 182, 186, 242, 266, 237 }, { 182, 186, 248, 268, 244 },
+ { 182, 237, 316, 319, 244 }, { 183, 187, 243, 267, 238 },
+ { 183, 187, 249, 269, 245 }, { 183, 238, 317, 320, 245 },
+ { 184, 240, 322, 326, 246 }, { 185, 241, 323, 327, 247 },
+ { 186, 242, 324, 328, 248 }, { 187, 243, 325, 329, 249 },
+ { 188, 189, 248, 268, 246 }, { 188, 189, 249, 269, 247 },
+ { 188, 246, 326, 327, 247 }, { 189, 248, 328, 329, 249 },
+ { 190, 250, 330, 350, 270 }, { 191, 251, 331, 351, 271 },
+ { 192, 250, 330, 352, 272 }, { 193, 251, 331, 353, 273 },
+ { 194, 250, 330, 354, 279 }, { 195, 251, 331, 355, 280 },
+ { 196, 252, 332, 356, 274 }, { 197, 253, 333, 357, 275 },
+ { 198, 254, 334, 358, 276 }, { 199, 255, 335, 359, 277 },
+ { 200, 256, 336, 360, 278 }, { 201, 252, 332, 361, 282 },
+ { 202, 253, 333, 362, 283 }, { 203, 254, 334, 363, 284 },
+ { 204, 255, 335, 364, 285 }, { 205, 257, 337, 365, 281 },
+ { 206, 252, 332, 366, 290 }, { 207, 253, 333, 367, 291 },
+ { 208, 254, 334, 368, 292 }, { 209, 255, 335, 369, 293 },
+ { 210, 256, 336, 370, 294 }, { 211, 256, 336, 371, 295 },
+ { 212, 258, 338, 372, 286 }, { 213, 259, 339, 373, 287 },
+ { 214, 260, 340, 374, 288 }, { 215, 261, 341, 375, 289 },
+ { 216, 257, 337, 376, 296 }, { 217, 257, 337, 377, 297 },
+ { 218, 258, 338, 378, 298 }, { 219, 259, 339, 379, 299 },
+ { 220, 260, 340, 380, 300 }, { 221, 261, 341, 381, 301 },
+ { 222, 262, 342, 382, 302 }, { 223, 262, 342, 383, 303 },
+ { 224, 258, 338, 384, 310 }, { 225, 259, 339, 385, 311 },
+ { 226, 260, 340, 386, 312 }, { 227, 261, 341, 387, 313 },
+ { 228, 263, 343, 388, 304 }, { 229, 263, 343, 389, 305 },
+ { 230, 264, 344, 390, 306 }, { 231, 265, 345, 391, 307 },
+ { 232, 266, 346, 392, 308 }, { 233, 267, 347, 393, 309 },
+ { 234, 262, 342, 394, 318 }, { 235, 264, 344, 395, 314 },
+ { 236, 265, 345, 396, 315 }, { 237, 266, 346, 397, 316 },
+ { 238, 267, 347, 398, 317 }, { 239, 263, 343, 399, 321 },
+ { 240, 264, 344, 400, 322 }, { 241, 265, 345, 401, 323 },
+ { 242, 266, 346, 402, 324 }, { 243, 267, 347, 403, 325 },
+ { 244, 268, 348, 404, 319 }, { 245, 269, 349, 405, 320 },
+ { 246, 268, 348, 406, 326 }, { 247, 269, 349, 407, 327 },
+ { 248, 268, 348, 408, 328 }, { 249, 269, 349, 409, 329 },
+ { 270, 271, 275, 278, 274 }, { 270, 271, 351, 410, 350 },
+ { 270, 274, 356, 412, 350 }, { 271, 275, 357, 413, 351 },
+ { 272, 273, 277, 281, 276 }, { 272, 273, 353, 411, 352 },
+ { 272, 276, 358, 414, 352 }, { 273, 277, 359, 415, 353 },
+ { 274, 278, 360, 420, 356 }, { 275, 278, 360, 421, 357 },
+ { 276, 281, 365, 422, 358 }, { 277, 281, 365, 423, 359 },
+ { 279, 282, 286, 288, 284 }, { 279, 282, 361, 416, 354 },
+ { 279, 284, 363, 418, 354 }, { 280, 283, 287, 289, 285 },
+ { 280, 283, 362, 417, 355 }, { 280, 285, 364, 419, 355 },
+ { 282, 286, 372, 426, 361 }, { 283, 287, 373, 427, 362 },
+ { 284, 288, 374, 428, 363 }, { 285, 289, 375, 429, 364 },
+ { 286, 288, 374, 436, 372 }, { 287, 289, 375, 437, 373 },
+ { 290, 294, 302, 306, 298 }, { 290, 294, 370, 424, 366 },
+ { 290, 298, 378, 432, 366 }, { 291, 295, 303, 307, 299 },
+ { 291, 295, 371, 425, 367 }, { 291, 299, 379, 433, 367 },
+ { 292, 296, 304, 308, 300 }, { 292, 296, 376, 430, 368 },
+ { 292, 300, 380, 434, 368 }, { 293, 297, 305, 309, 301 },
+ { 293, 297, 377, 431, 369 }, { 293, 301, 381, 435, 369 },
+ { 294, 302, 382, 438, 370 }, { 295, 303, 383, 439, 371 },
+ { 296, 304, 388, 440, 376 }, { 297, 305, 389, 441, 377 },
+ { 298, 306, 390, 444, 378 }, { 299, 307, 391, 445, 379 },
+ { 300, 308, 392, 446, 380 }, { 301, 309, 393, 447, 381 },
+ { 302, 306, 390, 448, 382 }, { 303, 307, 391, 449, 383 },
+ { 304, 308, 392, 454, 388 }, { 305, 309, 393, 455, 389 },
+ { 310, 312, 316, 319, 314 }, { 310, 312, 386, 442, 384 },
+ { 310, 314, 395, 450, 384 }, { 311, 313, 317, 320, 315 },
+ { 311, 313, 387, 443, 385 }, { 311, 315, 396, 451, 385 },
+ { 312, 316, 397, 452, 386 }, { 313, 317, 398, 453, 387 },
+ { 314, 319, 404, 460, 395 }, { 315, 320, 405, 461, 396 },
+ { 316, 319, 404, 462, 397 }, { 317, 320, 405, 463, 398 },
+ { 318, 322, 326, 327, 323 }, { 318, 322, 400, 456, 394 },
+ { 318, 323, 401, 457, 394 }, { 321, 324, 328, 329, 325 },
+ { 321, 324, 402, 458, 399 }, { 321, 325, 403, 459, 399 },
+ { 322, 326, 406, 464, 400 }, { 323, 327, 407, 465, 401 },
+ { 324, 328, 408, 466, 402 }, { 325, 329, 409, 467, 403 },
+ { 326, 327, 407, 468, 406 }, { 328, 329, 409, 469, 408 },
+ { 330, 350, 410, 411, 352 }, { 330, 350, 412, 416, 354 },
+ { 330, 352, 414, 418, 354 }, { 331, 351, 410, 411, 353 },
+ { 331, 351, 413, 417, 355 }, { 331, 353, 415, 419, 355 },
+ { 332, 356, 412, 416, 361 }, { 332, 356, 420, 424, 366 },
+ { 332, 361, 426, 432, 366 }, { 333, 357, 413, 417, 362 },
+ { 333, 357, 421, 425, 367 }, { 333, 362, 427, 433, 367 },
+ { 334, 358, 414, 418, 363 }, { 334, 358, 422, 430, 368 },
+ { 334, 363, 428, 434, 368 }, { 335, 359, 415, 419, 364 },
+ { 335, 359, 423, 431, 369 }, { 335, 364, 429, 435, 369 },
+ { 336, 360, 420, 424, 370 }, { 336, 360, 421, 425, 371 },
+ { 336, 370, 438, 439, 371 }, { 337, 365, 422, 430, 376 },
+ { 337, 365, 423, 431, 377 }, { 337, 376, 440, 441, 377 },
+ { 338, 372, 426, 432, 378 }, { 338, 372, 436, 442, 384 },
+ { 338, 378, 444, 450, 384 }, { 339, 373, 427, 433, 379 },
+ { 339, 373, 437, 443, 385 }, { 339, 379, 445, 451, 385 },
+ { 340, 374, 428, 434, 380 }, { 340, 374, 436, 442, 386 },
+ { 340, 380, 446, 452, 386 }, { 341, 375, 429, 435, 381 },
+ { 341, 375, 437, 443, 387 }, { 341, 381, 447, 453, 387 },
+ { 342, 382, 438, 439, 383 }, { 342, 382, 448, 456, 394 },
+ { 342, 383, 449, 457, 394 }, { 343, 388, 440, 441, 389 },
+ { 343, 388, 454, 458, 399 }, { 343, 389, 455, 459, 399 },
+ { 344, 390, 444, 450, 395 }, { 344, 390, 448, 456, 400 },
+ { 344, 395, 460, 464, 400 }, { 345, 391, 445, 451, 396 },
+ { 345, 391, 449, 457, 401 }, { 345, 396, 461, 465, 401 },
+ { 346, 392, 446, 452, 397 }, { 346, 392, 454, 458, 402 },
+ { 346, 397, 462, 466, 402 }, { 347, 393, 447, 453, 398 },
+ { 347, 393, 455, 459, 403 }, { 347, 398, 463, 467, 403 },
+ { 348, 404, 460, 464, 406 }, { 348, 404, 462, 466, 408 },
+ { 348, 406, 468, 469, 408 }, { 349, 405, 461, 465, 407 },
+ { 349, 405, 463, 467, 409 }, { 349, 407, 468, 469, 409 },
+ { 350, 410, 470, 472, 412 }, { 351, 410, 470, 473, 413 },
+ { 352, 411, 471, 474, 414 }, { 353, 411, 471, 475, 415 },
+ { 354, 416, 478, 480, 418 }, { 355, 417, 479, 481, 419 },
+ { 356, 412, 472, 476, 420 }, { 357, 413, 473, 477, 421 },
+ { 358, 414, 474, 482, 422 }, { 359, 415, 475, 483, 423 },
+ { 360, 420, 476, 477, 421 }, { 361, 416, 478, 484, 426 },
+ { 362, 417, 479, 485, 427 }, { 363, 418, 480, 486, 428 },
+ { 364, 419, 481, 487, 429 }, { 365, 422, 482, 483, 423 },
+ { 366, 424, 488, 494, 432 }, { 367, 425, 489, 495, 433 },
+ { 368, 430, 492, 496, 434 }, { 369, 431, 493, 497, 435 },
+ { 370, 424, 488, 498, 438 }, { 371, 425, 489, 499, 439 },
+ { 372, 426, 484, 490, 436 }, { 373, 427, 485, 491, 437 },
+ { 374, 428, 486, 490, 436 }, { 375, 429, 487, 491, 437 },
+ { 376, 430, 492, 500, 440 }, { 377, 431, 493, 501, 441 },
+ { 378, 432, 494, 502, 444 }, { 379, 433, 495, 503, 445 },
+ { 380, 434, 496, 504, 446 }, { 381, 435, 497, 505, 447 },
+ { 382, 438, 498, 506, 448 }, { 383, 439, 499, 507, 449 },
+ { 384, 442, 508, 512, 450 }, { 385, 443, 509, 513, 451 },
+ { 386, 442, 508, 514, 452 }, { 387, 443, 509, 515, 453 },
+ { 388, 440, 500, 510, 454 }, { 389, 441, 501, 511, 455 },
+ { 390, 444, 502, 506, 448 }, { 391, 445, 503, 507, 449 },
+ { 392, 446, 504, 510, 454 }, { 393, 447, 505, 511, 455 },
+ { 394, 456, 516, 517, 457 }, { 395, 450, 512, 518, 460 },
+ { 396, 451, 513, 519, 461 }, { 397, 452, 514, 520, 462 },
+ { 398, 453, 515, 521, 463 }, { 399, 458, 522, 523, 459 },
+ { 400, 456, 516, 524, 464 }, { 401, 457, 517, 525, 465 },
+ { 402, 458, 522, 526, 466 }, { 403, 459, 523, 527, 467 },
+ { 404, 460, 518, 520, 462 }, { 405, 461, 519, 521, 463 },
+ { 406, 464, 524, 528, 468 }, { 407, 465, 525, 528, 468 },
+ { 408, 466, 526, 529, 469 }, { 409, 467, 527, 529, 469 },
+ { 410, 411, 471, 530, 470 }, { 412, 416, 478, 531, 472 },
+ { 413, 417, 479, 532, 473 }, { 414, 418, 480, 533, 474 },
+ { 415, 419, 481, 534, 475 }, { 420, 424, 488, 535, 476 },
+ { 421, 425, 489, 536, 477 }, { 422, 430, 492, 537, 482 },
+ { 423, 431, 493, 538, 483 }, { 426, 432, 494, 539, 484 },
+ { 427, 433, 495, 540, 485 }, { 428, 434, 496, 541, 486 },
+ { 429, 435, 497, 542, 487 }, { 436, 442, 508, 544, 490 },
+ { 437, 443, 509, 545, 491 }, { 438, 439, 499, 543, 498 },
+ { 440, 441, 501, 546, 500 }, { 444, 450, 512, 547, 502 },
+ { 445, 451, 513, 548, 503 }, { 446, 452, 514, 549, 504 },
+ { 447, 453, 515, 550, 505 }, { 448, 456, 516, 551, 506 },
+ { 449, 457, 517, 552, 507 }, { 454, 458, 522, 553, 510 },
+ { 455, 459, 523, 554, 511 }, { 460, 464, 524, 555, 518 },
+ { 461, 465, 525, 556, 519 }, { 462, 466, 526, 557, 520 },
+ { 463, 467, 527, 558, 521 }, { 468, 469, 529, 559, 528 },
+ { 470, 472, 476, 477, 473 }, { 470, 472, 531, 560, 530 },
+ { 470, 473, 532, 561, 530 }, { 471, 474, 482, 483, 475 },
+ { 471, 474, 533, 560, 530 }, { 471, 475, 534, 561, 530 },
+ { 472, 476, 535, 562, 531 }, { 473, 477, 536, 563, 532 },
+ { 474, 482, 537, 564, 533 }, { 475, 483, 538, 565, 534 },
+ { 476, 477, 536, 566, 535 }, { 478, 480, 486, 490, 484 },
+ { 478, 480, 533, 560, 531 }, { 478, 484, 539, 562, 531 },
+ { 479, 481, 487, 491, 485 }, { 479, 481, 534, 561, 532 },
+ { 479, 485, 540, 563, 532 }, { 480, 486, 541, 564, 533 },
+ { 481, 487, 542, 565, 534 }, { 482, 483, 538, 567, 537 },
+ { 484, 490, 544, 568, 539 }, { 485, 491, 545, 569, 540 },
+ { 486, 490, 544, 570, 541 }, { 487, 491, 545, 571, 542 },
+ { 488, 494, 502, 506, 498 }, { 488, 494, 539, 562, 535 },
+ { 488, 498, 543, 566, 535 }, { 489, 495, 503, 507, 499 },
+ { 489, 495, 540, 563, 536 }, { 489, 499, 543, 566, 536 },
+ { 492, 496, 504, 510, 500 }, { 492, 496, 541, 564, 537 },
+ { 492, 500, 546, 567, 537 }, { 493, 497, 505, 511, 501 },
+ { 493, 497, 542, 565, 538 }, { 493, 501, 546, 567, 538 },
+ { 494, 502, 547, 568, 539 }, { 495, 503, 548, 569, 540 },
+ { 496, 504, 549, 570, 541 }, { 497, 505, 550, 571, 542 },
+ { 498, 506, 551, 572, 543 }, { 499, 507, 552, 572, 543 },
+ { 500, 510, 553, 573, 546 }, { 501, 511, 554, 573, 546 },
+ { 502, 506, 551, 574, 547 }, { 503, 507, 552, 575, 548 },
+ { 504, 510, 553, 576, 549 }, { 505, 511, 554, 577, 550 },
+ { 508, 512, 518, 520, 514 }, { 508, 512, 547, 568, 544 },
+ { 508, 514, 549, 570, 544 }, { 509, 513, 519, 521, 515 },
+ { 509, 513, 548, 569, 545 }, { 509, 515, 550, 571, 545 },
+ { 512, 518, 555, 574, 547 }, { 513, 519, 556, 575, 548 },
+ { 514, 520, 557, 576, 549 }, { 515, 521, 558, 577, 550 },
+ { 516, 517, 525, 528, 524 }, { 516, 517, 552, 572, 551 },
+ { 516, 524, 555, 574, 551 }, { 517, 525, 556, 575, 552 },
+ { 518, 520, 557, 578, 555 }, { 519, 521, 558, 579, 556 },
+ { 522, 523, 527, 529, 526 }, { 522, 523, 554, 573, 553 },
+ { 522, 526, 557, 576, 553 }, { 523, 527, 558, 577, 554 },
+ { 524, 528, 559, 578, 555 }, { 525, 528, 559, 579, 556 },
+ { 526, 529, 559, 578, 557 }, { 527, 529, 559, 579, 558 },
+ { 530, 560, 580, 581, 561 }, { 531, 560, 580, 582, 562 },
+ { 532, 561, 581, 583, 563 }, { 533, 560, 580, 584, 564 },
+ { 534, 561, 581, 585, 565 }, { 535, 562, 582, 586, 566 },
+ { 536, 563, 583, 586, 566 }, { 537, 564, 584, 587, 567 },
+ { 538, 565, 585, 587, 567 }, { 539, 562, 582, 588, 568 },
+ { 540, 563, 583, 589, 569 }, { 541, 564, 584, 590, 570 },
+ { 542, 565, 585, 591, 571 }, { 543, 566, 586, 592, 572 },
+ { 544, 568, 588, 590, 570 }, { 545, 569, 589, 591, 571 },
+ { 546, 567, 587, 593, 573 }, { 547, 568, 588, 594, 574 },
+ { 548, 569, 589, 595, 575 }, { 549, 570, 590, 596, 576 },
+ { 550, 571, 591, 597, 577 }, { 551, 572, 592, 594, 574 },
+ { 552, 572, 592, 595, 575 }, { 553, 573, 593, 596, 576 },
+ { 554, 573, 593, 597, 577 }, { 555, 574, 594, 598, 578 },
+ { 556, 575, 595, 599, 579 }, { 557, 576, 596, 598, 578 },
+ { 558, 577, 597, 599, 579 }, { 559, 578, 598, 599, 579 },
+ { 580, 581, 583, 586, 582 }, { 580, 581, 585, 587, 584 },
+ { 580, 582, 588, 590, 584 }, { 581, 583, 589, 591, 585 },
+ { 582, 586, 592, 594, 588 }, { 583, 586, 592, 595, 589 },
+ { 584, 587, 593, 596, 590 }, { 585, 587, 593, 597, 591 },
+ { 588, 590, 596, 598, 594 }, { 589, 591, 597, 599, 595 },
+ { 592, 594, 598, 599, 595 }, { 593, 596, 598, 599, 597 }
+};
+
+static float edge_color_120[NUM_EDGE_120][4];
+static float face_color_120[NUM_FACE_120][4];
+static float face_color_trans_120[NUM_FACE_120][4];
+
+
+/* 600-cell {3,3,5} */
+#define NUM_VERT_600 120
+#define NUM_EDGE_600 720
+#define NUM_FACE_600 1200
+#define VERT_PER_FACE_600 3
+
+#define MIN_EDGE_DEPTH_600 (-GOLDEN/2.0-1)
+#define MAX_EDGE_DEPTH_600 (GOLDEN/2.0+1)
+#define MIN_FACE_DEPTH_600 ((-2*GOLDEN-2)/3.0)
+#define MAX_FACE_DEPTH_600 ((2*GOLDEN+2)/3.0)
+
+static float vert_600[NUM_VERT_600][4] = {
+ { 0.0, 0.0, 0.0, -2.0 },
+ { 0.0, -GOLDENINV, -1.0, -GOLDEN },
+ { 0.0, GOLDENINV, -1.0, -GOLDEN },
+ { -1.0, 0.0, -GOLDENINV, -GOLDEN },
+ { 1.0, 0.0, -GOLDENINV, -GOLDEN },
+ { -GOLDENINV, -1.0, 0.0, -GOLDEN },
+ { GOLDENINV, -1.0, 0.0, -GOLDEN },
+ { -GOLDENINV, 1.0, 0.0, -GOLDEN },
+ { GOLDENINV, 1.0, 0.0, -GOLDEN },
+ { -1.0, 0.0, GOLDENINV, -GOLDEN },
+ { 1.0, 0.0, GOLDENINV, -GOLDEN },
+ { 0.0, -GOLDENINV, 1.0, -GOLDEN },
+ { 0.0, GOLDENINV, 1.0, -GOLDEN },
+ { -GOLDENINV, 0.0, -GOLDEN, -1.0 },
+ { GOLDENINV, 0.0, -GOLDEN, -1.0 },
+ { -1.0, -1.0, -1.0, -1.0 },
+ { 1.0, -1.0, -1.0, -1.0 },
+ { -1.0, 1.0, -1.0, -1.0 },
+ { 1.0, 1.0, -1.0, -1.0 },
+ { 0.0, -GOLDEN, -GOLDENINV, -1.0 },
+ { 0.0, GOLDEN, -GOLDENINV, -1.0 },
+ { -GOLDEN, -GOLDENINV, 0.0, -1.0 },
+ { GOLDEN, -GOLDENINV, 0.0, -1.0 },
+ { -GOLDEN, GOLDENINV, 0.0, -1.0 },
+ { GOLDEN, GOLDENINV, 0.0, -1.0 },
+ { 0.0, -GOLDEN, GOLDENINV, -1.0 },
+ { 0.0, GOLDEN, GOLDENINV, -1.0 },
+ { -1.0, -1.0, 1.0, -1.0 },
+ { 1.0, -1.0, 1.0, -1.0 },
+ { -1.0, 1.0, 1.0, -1.0 },
+ { 1.0, 1.0, 1.0, -1.0 },
+ { -GOLDENINV, 0.0, GOLDEN, -1.0 },
+ { GOLDENINV, 0.0, GOLDEN, -1.0 },
+ { 0.0, -1.0, -GOLDEN, -GOLDENINV },
+ { 0.0, 1.0, -GOLDEN, -GOLDENINV },
+ { -GOLDEN, 0.0, -1.0, -GOLDENINV },
+ { GOLDEN, 0.0, -1.0, -GOLDENINV },
+ { -1.0, -GOLDEN, 0.0, -GOLDENINV },
+ { 1.0, -GOLDEN, 0.0, -GOLDENINV },
+ { -1.0, GOLDEN, 0.0, -GOLDENINV },
+ { 1.0, GOLDEN, 0.0, -GOLDENINV },
+ { -GOLDEN, 0.0, 1.0, -GOLDENINV },
+ { GOLDEN, 0.0, 1.0, -GOLDENINV },
+ { 0.0, -1.0, GOLDEN, -GOLDENINV },
+ { 0.0, 1.0, GOLDEN, -GOLDENINV },
+ { 0.0, 0.0, -2.0, 0.0 },
+ { -1.0, -GOLDENINV, -GOLDEN, 0.0 },
+ { 1.0, -GOLDENINV, -GOLDEN, 0.0 },
+ { -1.0, GOLDENINV, -GOLDEN, 0.0 },
+ { 1.0, GOLDENINV, -GOLDEN, 0.0 },
+ { -GOLDENINV, -GOLDEN, -1.0, 0.0 },
+ { GOLDENINV, -GOLDEN, -1.0, 0.0 },
+ { -GOLDENINV, GOLDEN, -1.0, 0.0 },
+ { GOLDENINV, GOLDEN, -1.0, 0.0 },
+ { -GOLDEN, -1.0, -GOLDENINV, 0.0 },
+ { GOLDEN, -1.0, -GOLDENINV, 0.0 },
+ { -GOLDEN, 1.0, -GOLDENINV, 0.0 },
+ { GOLDEN, 1.0, -GOLDENINV, 0.0 },
+ { 0.0, -2.0, 0.0, 0.0 },
+ { -2.0, 0.0, 0.0, 0.0 },
+ { 2.0, 0.0, 0.0, 0.0 },
+ { 0.0, 2.0, 0.0, 0.0 },
+ { -GOLDEN, -1.0, GOLDENINV, 0.0 },
+ { GOLDEN, -1.0, GOLDENINV, 0.0 },
+ { -GOLDEN, 1.0, GOLDENINV, 0.0 },
+ { GOLDEN, 1.0, GOLDENINV, 0.0 },
+ { -GOLDENINV, -GOLDEN, 1.0, 0.0 },
+ { GOLDENINV, -GOLDEN, 1.0, 0.0 },
+ { -GOLDENINV, GOLDEN, 1.0, 0.0 },
+ { GOLDENINV, GOLDEN, 1.0, 0.0 },
+ { -1.0, -GOLDENINV, GOLDEN, 0.0 },
+ { 1.0, -GOLDENINV, GOLDEN, 0.0 },
+ { -1.0, GOLDENINV, GOLDEN, 0.0 },
+ { 1.0, GOLDENINV, GOLDEN, 0.0 },
+ { 0.0, 0.0, 2.0, 0.0 },
+ { 0.0, -1.0, -GOLDEN, GOLDENINV },
+ { 0.0, 1.0, -GOLDEN, GOLDENINV },
+ { -GOLDEN, 0.0, -1.0, GOLDENINV },
+ { GOLDEN, 0.0, -1.0, GOLDENINV },
+ { -1.0, -GOLDEN, 0.0, GOLDENINV },
+ { 1.0, -GOLDEN, 0.0, GOLDENINV },
+ { -1.0, GOLDEN, 0.0, GOLDENINV },
+ { 1.0, GOLDEN, 0.0, GOLDENINV },
+ { -GOLDEN, 0.0, 1.0, GOLDENINV },
+ { GOLDEN, 0.0, 1.0, GOLDENINV },
+ { 0.0, -1.0, GOLDEN, GOLDENINV },
+ { 0.0, 1.0, GOLDEN, GOLDENINV },
+ { -GOLDENINV, 0.0, -GOLDEN, 1.0 },
+ { GOLDENINV, 0.0, -GOLDEN, 1.0 },
+ { -1.0, -1.0, -1.0, 1.0 },
+ { 1.0, -1.0, -1.0, 1.0 },
+ { -1.0, 1.0, -1.0, 1.0 },
+ { 1.0, 1.0, -1.0, 1.0 },
+ { 0.0, -GOLDEN, -GOLDENINV, 1.0 },
+ { 0.0, GOLDEN, -GOLDENINV, 1.0 },
+ { -GOLDEN, -GOLDENINV, 0.0, 1.0 },
+ { GOLDEN, -GOLDENINV, 0.0, 1.0 },
+ { -GOLDEN, GOLDENINV, 0.0, 1.0 },
+ { GOLDEN, GOLDENINV, 0.0, 1.0 },
+ { 0.0, -GOLDEN, GOLDENINV, 1.0 },
+ { 0.0, GOLDEN, GOLDENINV, 1.0 },
+ { -1.0, -1.0, 1.0, 1.0 },
+ { 1.0, -1.0, 1.0, 1.0 },
+ { -1.0, 1.0, 1.0, 1.0 },
+ { 1.0, 1.0, 1.0, 1.0 },
+ { -GOLDENINV, 0.0, GOLDEN, 1.0 },
+ { GOLDENINV, 0.0, GOLDEN, 1.0 },
+ { 0.0, -GOLDENINV, -1.0, GOLDEN },
+ { 0.0, GOLDENINV, -1.0, GOLDEN },
+ { -1.0, 0.0, -GOLDENINV, GOLDEN },
+ { 1.0, 0.0, -GOLDENINV, GOLDEN },
+ { -GOLDENINV, -1.0, 0.0, GOLDEN },
+ { GOLDENINV, -1.0, 0.0, GOLDEN },
+ { -GOLDENINV, 1.0, 0.0, GOLDEN },
+ { GOLDENINV, 1.0, 0.0, GOLDEN },
+ { -1.0, 0.0, GOLDENINV, GOLDEN },
+ { 1.0, 0.0, GOLDENINV, GOLDEN },
+ { 0.0, -GOLDENINV, 1.0, GOLDEN },
+ { 0.0, GOLDENINV, 1.0, GOLDEN },
+ { 0.0, 0.0, 0.0, 2.0 }
+};
+
+static int edge_600[NUM_EDGE_600][2] = {
+ { 0, 1 }, { 0, 2 }, { 0, 3 }, { 0, 4 }, { 0, 5 },
+ { 0, 6 }, { 0, 7 }, { 0, 8 }, { 0, 9 }, { 0, 10 },
+ { 0, 11 }, { 0, 12 }, { 1, 2 }, { 1, 3 }, { 1, 4 },
+ { 1, 5 }, { 1, 6 }, { 1, 13 }, { 1, 14 }, { 1, 15 },
+ { 1, 16 }, { 1, 19 }, { 1, 33 }, { 2, 3 }, { 2, 4 },
+ { 2, 7 }, { 2, 8 }, { 2, 13 }, { 2, 14 }, { 2, 17 },
+ { 2, 18 }, { 2, 20 }, { 2, 34 }, { 3, 5 }, { 3, 7 },
+ { 3, 9 }, { 3, 13 }, { 3, 15 }, { 3, 17 }, { 3, 21 },
+ { 3, 23 }, { 3, 35 }, { 4, 6 }, { 4, 8 }, { 4, 10 },
+ { 4, 14 }, { 4, 16 }, { 4, 18 }, { 4, 22 }, { 4, 24 },
+ { 4, 36 }, { 5, 6 }, { 5, 9 }, { 5, 11 }, { 5, 15 },
+ { 5, 19 }, { 5, 21 }, { 5, 25 }, { 5, 27 }, { 5, 37 },
+ { 6, 10 }, { 6, 11 }, { 6, 16 }, { 6, 19 }, { 6, 22 },
+ { 6, 25 }, { 6, 28 }, { 6, 38 }, { 7, 8 }, { 7, 9 },
+ { 7, 12 }, { 7, 17 }, { 7, 20 }, { 7, 23 }, { 7, 26 },
+ { 7, 29 }, { 7, 39 }, { 8, 10 }, { 8, 12 }, { 8, 18 },
+ { 8, 20 }, { 8, 24 }, { 8, 26 }, { 8, 30 }, { 8, 40 },
+ { 9, 11 }, { 9, 12 }, { 9, 21 }, { 9, 23 }, { 9, 27 },
+ { 9, 29 }, { 9, 31 }, { 9, 41 }, { 10, 11 }, { 10, 12 },
+ { 10, 22 }, { 10, 24 }, { 10, 28 }, { 10, 30 }, { 10, 32 },
+ { 10, 42 }, { 11, 12 }, { 11, 25 }, { 11, 27 }, { 11, 28 },
+ { 11, 31 }, { 11, 32 }, { 11, 43 }, { 12, 26 }, { 12, 29 },
+ { 12, 30 }, { 12, 31 }, { 12, 32 }, { 12, 44 }, { 13, 14 },
+ { 13, 15 }, { 13, 17 }, { 13, 33 }, { 13, 34 }, { 13, 35 },
+ { 13, 45 }, { 13, 46 }, { 13, 48 }, { 14, 16 }, { 14, 18 },
+ { 14, 33 }, { 14, 34 }, { 14, 36 }, { 14, 45 }, { 14, 47 },
+ { 14, 49 }, { 15, 19 }, { 15, 21 }, { 15, 33 }, { 15, 35 },
+ { 15, 37 }, { 15, 46 }, { 15, 50 }, { 15, 54 }, { 16, 19 },
+ { 16, 22 }, { 16, 33 }, { 16, 36 }, { 16, 38 }, { 16, 47 },
+ { 16, 51 }, { 16, 55 }, { 17, 20 }, { 17, 23 }, { 17, 34 },
+ { 17, 35 }, { 17, 39 }, { 17, 48 }, { 17, 52 }, { 17, 56 },
+ { 18, 20 }, { 18, 24 }, { 18, 34 }, { 18, 36 }, { 18, 40 },
+ { 18, 49 }, { 18, 53 }, { 18, 57 }, { 19, 25 }, { 19, 33 },
+ { 19, 37 }, { 19, 38 }, { 19, 50 }, { 19, 51 }, { 19, 58 },
+ { 20, 26 }, { 20, 34 }, { 20, 39 }, { 20, 40 }, { 20, 52 },
+ { 20, 53 }, { 20, 61 }, { 21, 23 }, { 21, 27 }, { 21, 35 },
+ { 21, 37 }, { 21, 41 }, { 21, 54 }, { 21, 59 }, { 21, 62 },
+ { 22, 24 }, { 22, 28 }, { 22, 36 }, { 22, 38 }, { 22, 42 },
+ { 22, 55 }, { 22, 60 }, { 22, 63 }, { 23, 29 }, { 23, 35 },
+ { 23, 39 }, { 23, 41 }, { 23, 56 }, { 23, 59 }, { 23, 64 },
+ { 24, 30 }, { 24, 36 }, { 24, 40 }, { 24, 42 }, { 24, 57 },
+ { 24, 60 }, { 24, 65 }, { 25, 27 }, { 25, 28 }, { 25, 37 },
+ { 25, 38 }, { 25, 43 }, { 25, 58 }, { 25, 66 }, { 25, 67 },
+ { 26, 29 }, { 26, 30 }, { 26, 39 }, { 26, 40 }, { 26, 44 },
+ { 26, 61 }, { 26, 68 }, { 26, 69 }, { 27, 31 }, { 27, 37 },
+ { 27, 41 }, { 27, 43 }, { 27, 62 }, { 27, 66 }, { 27, 70 },
+ { 28, 32 }, { 28, 38 }, { 28, 42 }, { 28, 43 }, { 28, 63 },
+ { 28, 67 }, { 28, 71 }, { 29, 31 }, { 29, 39 }, { 29, 41 },
+ { 29, 44 }, { 29, 64 }, { 29, 68 }, { 29, 72 }, { 30, 32 },
+ { 30, 40 }, { 30, 42 }, { 30, 44 }, { 30, 65 }, { 30, 69 },
+ { 30, 73 }, { 31, 32 }, { 31, 41 }, { 31, 43 }, { 31, 44 },
+ { 31, 70 }, { 31, 72 }, { 31, 74 }, { 32, 42 }, { 32, 43 },
+ { 32, 44 }, { 32, 71 }, { 32, 73 }, { 32, 74 }, { 33, 45 },
+ { 33, 46 }, { 33, 47 }, { 33, 50 }, { 33, 51 }, { 33, 75 },
+ { 34, 45 }, { 34, 48 }, { 34, 49 }, { 34, 52 }, { 34, 53 },
+ { 34, 76 }, { 35, 46 }, { 35, 48 }, { 35, 54 }, { 35, 56 },
+ { 35, 59 }, { 35, 77 }, { 36, 47 }, { 36, 49 }, { 36, 55 },
+ { 36, 57 }, { 36, 60 }, { 36, 78 }, { 37, 50 }, { 37, 54 },
+ { 37, 58 }, { 37, 62 }, { 37, 66 }, { 37, 79 }, { 38, 51 },
+ { 38, 55 }, { 38, 58 }, { 38, 63 }, { 38, 67 }, { 38, 80 },
+ { 39, 52 }, { 39, 56 }, { 39, 61 }, { 39, 64 }, { 39, 68 },
+ { 39, 81 }, { 40, 53 }, { 40, 57 }, { 40, 61 }, { 40, 65 },
+ { 40, 69 }, { 40, 82 }, { 41, 59 }, { 41, 62 }, { 41, 64 },
+ { 41, 70 }, { 41, 72 }, { 41, 83 }, { 42, 60 }, { 42, 63 },
+ { 42, 65 }, { 42, 71 }, { 42, 73 }, { 42, 84 }, { 43, 66 },
+ { 43, 67 }, { 43, 70 }, { 43, 71 }, { 43, 74 }, { 43, 85 },
+ { 44, 68 }, { 44, 69 }, { 44, 72 }, { 44, 73 }, { 44, 74 },
+ { 44, 86 }, { 45, 46 }, { 45, 47 }, { 45, 48 }, { 45, 49 },
+ { 45, 75 }, { 45, 76 }, { 45, 87 }, { 45, 88 }, { 46, 48 },
+ { 46, 50 }, { 46, 54 }, { 46, 75 }, { 46, 77 }, { 46, 87 },
+ { 46, 89 }, { 47, 49 }, { 47, 51 }, { 47, 55 }, { 47, 75 },
+ { 47, 78 }, { 47, 88 }, { 47, 90 }, { 48, 52 }, { 48, 56 },
+ { 48, 76 }, { 48, 77 }, { 48, 87 }, { 48, 91 }, { 49, 53 },
+ { 49, 57 }, { 49, 76 }, { 49, 78 }, { 49, 88 }, { 49, 92 },
+ { 50, 51 }, { 50, 54 }, { 50, 58 }, { 50, 75 }, { 50, 79 },
+ { 50, 89 }, { 50, 93 }, { 51, 55 }, { 51, 58 }, { 51, 75 },
+ { 51, 80 }, { 51, 90 }, { 51, 93 }, { 52, 53 }, { 52, 56 },
+ { 52, 61 }, { 52, 76 }, { 52, 81 }, { 52, 91 }, { 52, 94 },
+ { 53, 57 }, { 53, 61 }, { 53, 76 }, { 53, 82 }, { 53, 92 },
+ { 53, 94 }, { 54, 59 }, { 54, 62 }, { 54, 77 }, { 54, 79 },
+ { 54, 89 }, { 54, 95 }, { 55, 60 }, { 55, 63 }, { 55, 78 },
+ { 55, 80 }, { 55, 90 }, { 55, 96 }, { 56, 59 }, { 56, 64 },
+ { 56, 77 }, { 56, 81 }, { 56, 91 }, { 56, 97 }, { 57, 60 },
+ { 57, 65 }, { 57, 78 }, { 57, 82 }, { 57, 92 }, { 57, 98 },
+ { 58, 66 }, { 58, 67 }, { 58, 79 }, { 58, 80 }, { 58, 93 },
+ { 58, 99 }, { 59, 62 }, { 59, 64 }, { 59, 77 }, { 59, 83 },
+ { 59, 95 }, { 59, 97 }, { 60, 63 }, { 60, 65 }, { 60, 78 },
+ { 60, 84 }, { 60, 96 }, { 60, 98 }, { 61, 68 }, { 61, 69 },
+ { 61, 81 }, { 61, 82 }, { 61, 94 }, { 61, 100 }, { 62, 66 },
+ { 62, 70 }, { 62, 79 }, { 62, 83 }, { 62, 95 }, { 62, 101 },
+ { 63, 67 }, { 63, 71 }, { 63, 80 }, { 63, 84 }, { 63, 96 },
+ { 63, 102 }, { 64, 68 }, { 64, 72 }, { 64, 81 }, { 64, 83 },
+ { 64, 97 }, { 64, 103 }, { 65, 69 }, { 65, 73 }, { 65, 82 },
+ { 65, 84 }, { 65, 98 }, { 65, 104 }, { 66, 67 }, { 66, 70 },
+ { 66, 79 }, { 66, 85 }, { 66, 99 }, { 66, 101 }, { 67, 71 },
+ { 67, 80 }, { 67, 85 }, { 67, 99 }, { 67, 102 }, { 68, 69 },
+ { 68, 72 }, { 68, 81 }, { 68, 86 }, { 68, 100 }, { 68, 103 },
+ { 69, 73 }, { 69, 82 }, { 69, 86 }, { 69, 100 }, { 69, 104 },
+ { 70, 72 }, { 70, 74 }, { 70, 83 }, { 70, 85 }, { 70, 101 },
+ { 70, 105 }, { 71, 73 }, { 71, 74 }, { 71, 84 }, { 71, 85 },
+ { 71, 102 }, { 71, 106 }, { 72, 74 }, { 72, 83 }, { 72, 86 },
+ { 72, 103 }, { 72, 105 }, { 73, 74 }, { 73, 84 }, { 73, 86 },
+ { 73, 104 }, { 73, 106 }, { 74, 85 }, { 74, 86 }, { 74, 105 },
+ { 74, 106 }, { 75, 87 }, { 75, 88 }, { 75, 89 }, { 75, 90 },
+ { 75, 93 }, { 75, 107 }, { 76, 87 }, { 76, 88 }, { 76, 91 },
+ { 76, 92 }, { 76, 94 }, { 76, 108 }, { 77, 87 }, { 77, 89 },
+ { 77, 91 }, { 77, 95 }, { 77, 97 }, { 77, 109 }, { 78, 88 },
+ { 78, 90 }, { 78, 92 }, { 78, 96 }, { 78, 98 }, { 78, 110 },
+ { 79, 89 }, { 79, 93 }, { 79, 95 }, { 79, 99 }, { 79, 101 },
+ { 79, 111 }, { 80, 90 }, { 80, 93 }, { 80, 96 }, { 80, 99 },
+ { 80, 102 }, { 80, 112 }, { 81, 91 }, { 81, 94 }, { 81, 97 },
+ { 81, 100 }, { 81, 103 }, { 81, 113 }, { 82, 92 }, { 82, 94 },
+ { 82, 98 }, { 82, 100 }, { 82, 104 }, { 82, 114 }, { 83, 95 },
+ { 83, 97 }, { 83, 101 }, { 83, 103 }, { 83, 105 }, { 83, 115 },
+ { 84, 96 }, { 84, 98 }, { 84, 102 }, { 84, 104 }, { 84, 106 },
+ { 84, 116 }, { 85, 99 }, { 85, 101 }, { 85, 102 }, { 85, 105 },
+ { 85, 106 }, { 85, 117 }, { 86, 100 }, { 86, 103 }, { 86, 104 },
+ { 86, 105 }, { 86, 106 }, { 86, 118 }, { 87, 88 }, { 87, 89 },
+ { 87, 91 }, { 87, 107 }, { 87, 108 }, { 87, 109 }, { 88, 90 },
+ { 88, 92 }, { 88, 107 }, { 88, 108 }, { 88, 110 }, { 89, 93 },
+ { 89, 95 }, { 89, 107 }, { 89, 109 }, { 89, 111 }, { 90, 93 },
+ { 90, 96 }, { 90, 107 }, { 90, 110 }, { 90, 112 }, { 91, 94 },
+ { 91, 97 }, { 91, 108 }, { 91, 109 }, { 91, 113 }, { 92, 94 },
+ { 92, 98 }, { 92, 108 }, { 92, 110 }, { 92, 114 }, { 93, 99 },
+ { 93, 107 }, { 93, 111 }, { 93, 112 }, { 94, 100 }, { 94, 108 },
+ { 94, 113 }, { 94, 114 }, { 95, 97 }, { 95, 101 }, { 95, 109 },
+ { 95, 111 }, { 95, 115 }, { 96, 98 }, { 96, 102 }, { 96, 110 },
+ { 96, 112 }, { 96, 116 }, { 97, 103 }, { 97, 109 }, { 97, 113 },
+ { 97, 115 }, { 98, 104 }, { 98, 110 }, { 98, 114 }, { 98, 116 },
+ { 99, 101 }, { 99, 102 }, { 99, 111 }, { 99, 112 }, { 99, 117 },
+ { 100, 103 }, { 100, 104 }, { 100, 113 }, { 100, 114 }, { 100, 118 },
+ { 101, 105 }, { 101, 111 }, { 101, 115 }, { 101, 117 }, { 102, 106 },
+ { 102, 112 }, { 102, 116 }, { 102, 117 }, { 103, 105 }, { 103, 113 },
+ { 103, 115 }, { 103, 118 }, { 104, 106 }, { 104, 114 }, { 104, 116 },
+ { 104, 118 }, { 105, 106 }, { 105, 115 }, { 105, 117 }, { 105, 118 },
+ { 106, 116 }, { 106, 117 }, { 106, 118 }, { 107, 108 }, { 107, 109 },
+ { 107, 110 }, { 107, 111 }, { 107, 112 }, { 107, 119 }, { 108, 109 },
+ { 108, 110 }, { 108, 113 }, { 108, 114 }, { 108, 119 }, { 109, 111 },
+ { 109, 113 }, { 109, 115 }, { 109, 119 }, { 110, 112 }, { 110, 114 },
+ { 110, 116 }, { 110, 119 }, { 111, 112 }, { 111, 115 }, { 111, 117 },
+ { 111, 119 }, { 112, 116 }, { 112, 117 }, { 112, 119 }, { 113, 114 },
+ { 113, 115 }, { 113, 118 }, { 113, 119 }, { 114, 116 }, { 114, 118 },
+ { 114, 119 }, { 115, 117 }, { 115, 118 }, { 115, 119 }, { 116, 117 },
+ { 116, 118 }, { 116, 119 }, { 117, 118 }, { 117, 119 }, { 118, 119 }
+};
+
+static int face_600[NUM_FACE_600][VERT_PER_FACE_600] = {
+ { 0, 1, 2 }, { 0, 1, 3 }, { 0, 1, 4 }, { 0, 1, 5 },
+ { 0, 1, 6 }, { 0, 2, 3 }, { 0, 2, 4 }, { 0, 2, 7 },
+ { 0, 2, 8 }, { 0, 3, 5 }, { 0, 3, 7 }, { 0, 3, 9 },
+ { 0, 4, 6 }, { 0, 4, 8 }, { 0, 4, 10 }, { 0, 5, 6 },
+ { 0, 5, 9 }, { 0, 5, 11 }, { 0, 6, 10 }, { 0, 6, 11 },
+ { 0, 7, 8 }, { 0, 7, 9 }, { 0, 7, 12 }, { 0, 8, 10 },
+ { 0, 8, 12 }, { 0, 9, 11 }, { 0, 9, 12 }, { 0, 10, 11 },
+ { 0, 10, 12 }, { 0, 11, 12 }, { 1, 2, 3 }, { 1, 2, 4 },
+ { 1, 2, 13 }, { 1, 2, 14 }, { 1, 3, 5 }, { 1, 3, 13 },
+ { 1, 3, 15 }, { 1, 4, 6 }, { 1, 4, 14 }, { 1, 4, 16 },
+ { 1, 5, 6 }, { 1, 5, 15 }, { 1, 5, 19 }, { 1, 6, 16 },
+ { 1, 6, 19 }, { 1, 13, 14 }, { 1, 13, 15 }, { 1, 13, 33 },
+ { 1, 14, 16 }, { 1, 14, 33 }, { 1, 15, 19 }, { 1, 15, 33 },
+ { 1, 16, 19 }, { 1, 16, 33 }, { 1, 19, 33 }, { 2, 3, 7 },
+ { 2, 3, 13 }, { 2, 3, 17 }, { 2, 4, 8 }, { 2, 4, 14 },
+ { 2, 4, 18 }, { 2, 7, 8 }, { 2, 7, 17 }, { 2, 7, 20 },
+ { 2, 8, 18 }, { 2, 8, 20 }, { 2, 13, 14 }, { 2, 13, 17 },
+ { 2, 13, 34 }, { 2, 14, 18 }, { 2, 14, 34 }, { 2, 17, 20 },
+ { 2, 17, 34 }, { 2, 18, 20 }, { 2, 18, 34 }, { 2, 20, 34 },
+ { 3, 5, 9 }, { 3, 5, 15 }, { 3, 5, 21 }, { 3, 7, 9 },
+ { 3, 7, 17 }, { 3, 7, 23 }, { 3, 9, 21 }, { 3, 9, 23 },
+ { 3, 13, 15 }, { 3, 13, 17 }, { 3, 13, 35 }, { 3, 15, 21 },
+ { 3, 15, 35 }, { 3, 17, 23 }, { 3, 17, 35 }, { 3, 21, 23 },
+ { 3, 21, 35 }, { 3, 23, 35 }, { 4, 6, 10 }, { 4, 6, 16 },
+ { 4, 6, 22 }, { 4, 8, 10 }, { 4, 8, 18 }, { 4, 8, 24 },
+ { 4, 10, 22 }, { 4, 10, 24 }, { 4, 14, 16 }, { 4, 14, 18 },
+ { 4, 14, 36 }, { 4, 16, 22 }, { 4, 16, 36 }, { 4, 18, 24 },
+ { 4, 18, 36 }, { 4, 22, 24 }, { 4, 22, 36 }, { 4, 24, 36 },
+ { 5, 6, 11 }, { 5, 6, 19 }, { 5, 6, 25 }, { 5, 9, 11 },
+ { 5, 9, 21 }, { 5, 9, 27 }, { 5, 11, 25 }, { 5, 11, 27 },
+ { 5, 15, 19 }, { 5, 15, 21 }, { 5, 15, 37 }, { 5, 19, 25 },
+ { 5, 19, 37 }, { 5, 21, 27 }, { 5, 21, 37 }, { 5, 25, 27 },
+ { 5, 25, 37 }, { 5, 27, 37 }, { 6, 10, 11 }, { 6, 10, 22 },
+ { 6, 10, 28 }, { 6, 11, 25 }, { 6, 11, 28 }, { 6, 16, 19 },
+ { 6, 16, 22 }, { 6, 16, 38 }, { 6, 19, 25 }, { 6, 19, 38 },
+ { 6, 22, 28 }, { 6, 22, 38 }, { 6, 25, 28 }, { 6, 25, 38 },
+ { 6, 28, 38 }, { 7, 8, 12 }, { 7, 8, 20 }, { 7, 8, 26 },
+ { 7, 9, 12 }, { 7, 9, 23 }, { 7, 9, 29 }, { 7, 12, 26 },
+ { 7, 12, 29 }, { 7, 17, 20 }, { 7, 17, 23 }, { 7, 17, 39 },
+ { 7, 20, 26 }, { 7, 20, 39 }, { 7, 23, 29 }, { 7, 23, 39 },
+ { 7, 26, 29 }, { 7, 26, 39 }, { 7, 29, 39 }, { 8, 10, 12 },
+ { 8, 10, 24 }, { 8, 10, 30 }, { 8, 12, 26 }, { 8, 12, 30 },
+ { 8, 18, 20 }, { 8, 18, 24 }, { 8, 18, 40 }, { 8, 20, 26 },
+ { 8, 20, 40 }, { 8, 24, 30 }, { 8, 24, 40 }, { 8, 26, 30 },
+ { 8, 26, 40 }, { 8, 30, 40 }, { 9, 11, 12 }, { 9, 11, 27 },
+ { 9, 11, 31 }, { 9, 12, 29 }, { 9, 12, 31 }, { 9, 21, 23 },
+ { 9, 21, 27 }, { 9, 21, 41 }, { 9, 23, 29 }, { 9, 23, 41 },
+ { 9, 27, 31 }, { 9, 27, 41 }, { 9, 29, 31 }, { 9, 29, 41 },
+ { 9, 31, 41 }, { 10, 11, 12 }, { 10, 11, 28 }, { 10, 11, 32 },
+ { 10, 12, 30 }, { 10, 12, 32 }, { 10, 22, 24 }, { 10, 22, 28 },
+ { 10, 22, 42 }, { 10, 24, 30 }, { 10, 24, 42 }, { 10, 28, 32 },
+ { 10, 28, 42 }, { 10, 30, 32 }, { 10, 30, 42 }, { 10, 32, 42 },
+ { 11, 12, 31 }, { 11, 12, 32 }, { 11, 25, 27 }, { 11, 25, 28 },
+ { 11, 25, 43 }, { 11, 27, 31 }, { 11, 27, 43 }, { 11, 28, 32 },
+ { 11, 28, 43 }, { 11, 31, 32 }, { 11, 31, 43 }, { 11, 32, 43 },
+ { 12, 26, 29 }, { 12, 26, 30 }, { 12, 26, 44 }, { 12, 29, 31 },
+ { 12, 29, 44 }, { 12, 30, 32 }, { 12, 30, 44 }, { 12, 31, 32 },
+ { 12, 31, 44 }, { 12, 32, 44 }, { 13, 14, 33 }, { 13, 14, 34 },
+ { 13, 14, 45 }, { 13, 15, 33 }, { 13, 15, 35 }, { 13, 15, 46 },
+ { 13, 17, 34 }, { 13, 17, 35 }, { 13, 17, 48 }, { 13, 33, 45 },
+ { 13, 33, 46 }, { 13, 34, 45 }, { 13, 34, 48 }, { 13, 35, 46 },
+ { 13, 35, 48 }, { 13, 45, 46 }, { 13, 45, 48 }, { 13, 46, 48 },
+ { 14, 16, 33 }, { 14, 16, 36 }, { 14, 16, 47 }, { 14, 18, 34 },
+ { 14, 18, 36 }, { 14, 18, 49 }, { 14, 33, 45 }, { 14, 33, 47 },
+ { 14, 34, 45 }, { 14, 34, 49 }, { 14, 36, 47 }, { 14, 36, 49 },
+ { 14, 45, 47 }, { 14, 45, 49 }, { 14, 47, 49 }, { 15, 19, 33 },
+ { 15, 19, 37 }, { 15, 19, 50 }, { 15, 21, 35 }, { 15, 21, 37 },
+ { 15, 21, 54 }, { 15, 33, 46 }, { 15, 33, 50 }, { 15, 35, 46 },
+ { 15, 35, 54 }, { 15, 37, 50 }, { 15, 37, 54 }, { 15, 46, 50 },
+ { 15, 46, 54 }, { 15, 50, 54 }, { 16, 19, 33 }, { 16, 19, 38 },
+ { 16, 19, 51 }, { 16, 22, 36 }, { 16, 22, 38 }, { 16, 22, 55 },
+ { 16, 33, 47 }, { 16, 33, 51 }, { 16, 36, 47 }, { 16, 36, 55 },
+ { 16, 38, 51 }, { 16, 38, 55 }, { 16, 47, 51 }, { 16, 47, 55 },
+ { 16, 51, 55 }, { 17, 20, 34 }, { 17, 20, 39 }, { 17, 20, 52 },
+ { 17, 23, 35 }, { 17, 23, 39 }, { 17, 23, 56 }, { 17, 34, 48 },
+ { 17, 34, 52 }, { 17, 35, 48 }, { 17, 35, 56 }, { 17, 39, 52 },
+ { 17, 39, 56 }, { 17, 48, 52 }, { 17, 48, 56 }, { 17, 52, 56 },
+ { 18, 20, 34 }, { 18, 20, 40 }, { 18, 20, 53 }, { 18, 24, 36 },
+ { 18, 24, 40 }, { 18, 24, 57 }, { 18, 34, 49 }, { 18, 34, 53 },
+ { 18, 36, 49 }, { 18, 36, 57 }, { 18, 40, 53 }, { 18, 40, 57 },
+ { 18, 49, 53 }, { 18, 49, 57 }, { 18, 53, 57 }, { 19, 25, 37 },
+ { 19, 25, 38 }, { 19, 25, 58 }, { 19, 33, 50 }, { 19, 33, 51 },
+ { 19, 37, 50 }, { 19, 37, 58 }, { 19, 38, 51 }, { 19, 38, 58 },
+ { 19, 50, 51 }, { 19, 50, 58 }, { 19, 51, 58 }, { 20, 26, 39 },
+ { 20, 26, 40 }, { 20, 26, 61 }, { 20, 34, 52 }, { 20, 34, 53 },
+ { 20, 39, 52 }, { 20, 39, 61 }, { 20, 40, 53 }, { 20, 40, 61 },
+ { 20, 52, 53 }, { 20, 52, 61 }, { 20, 53, 61 }, { 21, 23, 35 },
+ { 21, 23, 41 }, { 21, 23, 59 }, { 21, 27, 37 }, { 21, 27, 41 },
+ { 21, 27, 62 }, { 21, 35, 54 }, { 21, 35, 59 }, { 21, 37, 54 },
+ { 21, 37, 62 }, { 21, 41, 59 }, { 21, 41, 62 }, { 21, 54, 59 },
+ { 21, 54, 62 }, { 21, 59, 62 }, { 22, 24, 36 }, { 22, 24, 42 },
+ { 22, 24, 60 }, { 22, 28, 38 }, { 22, 28, 42 }, { 22, 28, 63 },
+ { 22, 36, 55 }, { 22, 36, 60 }, { 22, 38, 55 }, { 22, 38, 63 },
+ { 22, 42, 60 }, { 22, 42, 63 }, { 22, 55, 60 }, { 22, 55, 63 },
+ { 22, 60, 63 }, { 23, 29, 39 }, { 23, 29, 41 }, { 23, 29, 64 },
+ { 23, 35, 56 }, { 23, 35, 59 }, { 23, 39, 56 }, { 23, 39, 64 },
+ { 23, 41, 59 }, { 23, 41, 64 }, { 23, 56, 59 }, { 23, 56, 64 },
+ { 23, 59, 64 }, { 24, 30, 40 }, { 24, 30, 42 }, { 24, 30, 65 },
+ { 24, 36, 57 }, { 24, 36, 60 }, { 24, 40, 57 }, { 24, 40, 65 },
+ { 24, 42, 60 }, { 24, 42, 65 }, { 24, 57, 60 }, { 24, 57, 65 },
+ { 24, 60, 65 }, { 25, 27, 37 }, { 25, 27, 43 }, { 25, 27, 66 },
+ { 25, 28, 38 }, { 25, 28, 43 }, { 25, 28, 67 }, { 25, 37, 58 },
+ { 25, 37, 66 }, { 25, 38, 58 }, { 25, 38, 67 }, { 25, 43, 66 },
+ { 25, 43, 67 }, { 25, 58, 66 }, { 25, 58, 67 }, { 25, 66, 67 },
+ { 26, 29, 39 }, { 26, 29, 44 }, { 26, 29, 68 }, { 26, 30, 40 },
+ { 26, 30, 44 }, { 26, 30, 69 }, { 26, 39, 61 }, { 26, 39, 68 },
+ { 26, 40, 61 }, { 26, 40, 69 }, { 26, 44, 68 }, { 26, 44, 69 },
+ { 26, 61, 68 }, { 26, 61, 69 }, { 26, 68, 69 }, { 27, 31, 41 },
+ { 27, 31, 43 }, { 27, 31, 70 }, { 27, 37, 62 }, { 27, 37, 66 },
+ { 27, 41, 62 }, { 27, 41, 70 }, { 27, 43, 66 }, { 27, 43, 70 },
+ { 27, 62, 66 }, { 27, 62, 70 }, { 27, 66, 70 }, { 28, 32, 42 },
+ { 28, 32, 43 }, { 28, 32, 71 }, { 28, 38, 63 }, { 28, 38, 67 },
+ { 28, 42, 63 }, { 28, 42, 71 }, { 28, 43, 67 }, { 28, 43, 71 },
+ { 28, 63, 67 }, { 28, 63, 71 }, { 28, 67, 71 }, { 29, 31, 41 },
+ { 29, 31, 44 }, { 29, 31, 72 }, { 29, 39, 64 }, { 29, 39, 68 },
+ { 29, 41, 64 }, { 29, 41, 72 }, { 29, 44, 68 }, { 29, 44, 72 },
+ { 29, 64, 68 }, { 29, 64, 72 }, { 29, 68, 72 }, { 30, 32, 42 },
+ { 30, 32, 44 }, { 30, 32, 73 }, { 30, 40, 65 }, { 30, 40, 69 },
+ { 30, 42, 65 }, { 30, 42, 73 }, { 30, 44, 69 }, { 30, 44, 73 },
+ { 30, 65, 69 }, { 30, 65, 73 }, { 30, 69, 73 }, { 31, 32, 43 },
+ { 31, 32, 44 }, { 31, 32, 74 }, { 31, 41, 70 }, { 31, 41, 72 },
+ { 31, 43, 70 }, { 31, 43, 74 }, { 31, 44, 72 }, { 31, 44, 74 },
+ { 31, 70, 72 }, { 31, 70, 74 }, { 31, 72, 74 }, { 32, 42, 71 },
+ { 32, 42, 73 }, { 32, 43, 71 }, { 32, 43, 74 }, { 32, 44, 73 },
+ { 32, 44, 74 }, { 32, 71, 73 }, { 32, 71, 74 }, { 32, 73, 74 },
+ { 33, 45, 46 }, { 33, 45, 47 }, { 33, 45, 75 }, { 33, 46, 50 },
+ { 33, 46, 75 }, { 33, 47, 51 }, { 33, 47, 75 }, { 33, 50, 51 },
+ { 33, 50, 75 }, { 33, 51, 75 }, { 34, 45, 48 }, { 34, 45, 49 },
+ { 34, 45, 76 }, { 34, 48, 52 }, { 34, 48, 76 }, { 34, 49, 53 },
+ { 34, 49, 76 }, { 34, 52, 53 }, { 34, 52, 76 }, { 34, 53, 76 },
+ { 35, 46, 48 }, { 35, 46, 54 }, { 35, 46, 77 }, { 35, 48, 56 },
+ { 35, 48, 77 }, { 35, 54, 59 }, { 35, 54, 77 }, { 35, 56, 59 },
+ { 35, 56, 77 }, { 35, 59, 77 }, { 36, 47, 49 }, { 36, 47, 55 },
+ { 36, 47, 78 }, { 36, 49, 57 }, { 36, 49, 78 }, { 36, 55, 60 },
+ { 36, 55, 78 }, { 36, 57, 60 }, { 36, 57, 78 }, { 36, 60, 78 },
+ { 37, 50, 54 }, { 37, 50, 58 }, { 37, 50, 79 }, { 37, 54, 62 },
+ { 37, 54, 79 }, { 37, 58, 66 }, { 37, 58, 79 }, { 37, 62, 66 },
+ { 37, 62, 79 }, { 37, 66, 79 }, { 38, 51, 55 }, { 38, 51, 58 },
+ { 38, 51, 80 }, { 38, 55, 63 }, { 38, 55, 80 }, { 38, 58, 67 },
+ { 38, 58, 80 }, { 38, 63, 67 }, { 38, 63, 80 }, { 38, 67, 80 },
+ { 39, 52, 56 }, { 39, 52, 61 }, { 39, 52, 81 }, { 39, 56, 64 },
+ { 39, 56, 81 }, { 39, 61, 68 }, { 39, 61, 81 }, { 39, 64, 68 },
+ { 39, 64, 81 }, { 39, 68, 81 }, { 40, 53, 57 }, { 40, 53, 61 },
+ { 40, 53, 82 }, { 40, 57, 65 }, { 40, 57, 82 }, { 40, 61, 69 },
+ { 40, 61, 82 }, { 40, 65, 69 }, { 40, 65, 82 }, { 40, 69, 82 },
+ { 41, 59, 62 }, { 41, 59, 64 }, { 41, 59, 83 }, { 41, 62, 70 },
+ { 41, 62, 83 }, { 41, 64, 72 }, { 41, 64, 83 }, { 41, 70, 72 },
+ { 41, 70, 83 }, { 41, 72, 83 }, { 42, 60, 63 }, { 42, 60, 65 },
+ { 42, 60, 84 }, { 42, 63, 71 }, { 42, 63, 84 }, { 42, 65, 73 },
+ { 42, 65, 84 }, { 42, 71, 73 }, { 42, 71, 84 }, { 42, 73, 84 },
+ { 43, 66, 67 }, { 43, 66, 70 }, { 43, 66, 85 }, { 43, 67, 71 },
+ { 43, 67, 85 }, { 43, 70, 74 }, { 43, 70, 85 }, { 43, 71, 74 },
+ { 43, 71, 85 }, { 43, 74, 85 }, { 44, 68, 69 }, { 44, 68, 72 },
+ { 44, 68, 86 }, { 44, 69, 73 }, { 44, 69, 86 }, { 44, 72, 74 },
+ { 44, 72, 86 }, { 44, 73, 74 }, { 44, 73, 86 }, { 44, 74, 86 },
+ { 45, 46, 48 }, { 45, 46, 75 }, { 45, 46, 87 }, { 45, 47, 49 },
+ { 45, 47, 75 }, { 45, 47, 88 }, { 45, 48, 76 }, { 45, 48, 87 },
+ { 45, 49, 76 }, { 45, 49, 88 }, { 45, 75, 87 }, { 45, 75, 88 },
+ { 45, 76, 87 }, { 45, 76, 88 }, { 45, 87, 88 }, { 46, 48, 77 },
+ { 46, 48, 87 }, { 46, 50, 54 }, { 46, 50, 75 }, { 46, 50, 89 },
+ { 46, 54, 77 }, { 46, 54, 89 }, { 46, 75, 87 }, { 46, 75, 89 },
+ { 46, 77, 87 }, { 46, 77, 89 }, { 46, 87, 89 }, { 47, 49, 78 },
+ { 47, 49, 88 }, { 47, 51, 55 }, { 47, 51, 75 }, { 47, 51, 90 },
+ { 47, 55, 78 }, { 47, 55, 90 }, { 47, 75, 88 }, { 47, 75, 90 },
+ { 47, 78, 88 }, { 47, 78, 90 }, { 47, 88, 90 }, { 48, 52, 56 },
+ { 48, 52, 76 }, { 48, 52, 91 }, { 48, 56, 77 }, { 48, 56, 91 },
+ { 48, 76, 87 }, { 48, 76, 91 }, { 48, 77, 87 }, { 48, 77, 91 },
+ { 48, 87, 91 }, { 49, 53, 57 }, { 49, 53, 76 }, { 49, 53, 92 },
+ { 49, 57, 78 }, { 49, 57, 92 }, { 49, 76, 88 }, { 49, 76, 92 },
+ { 49, 78, 88 }, { 49, 78, 92 }, { 49, 88, 92 }, { 50, 51, 58 },
+ { 50, 51, 75 }, { 50, 51, 93 }, { 50, 54, 79 }, { 50, 54, 89 },
+ { 50, 58, 79 }, { 50, 58, 93 }, { 50, 75, 89 }, { 50, 75, 93 },
+ { 50, 79, 89 }, { 50, 79, 93 }, { 50, 89, 93 }, { 51, 55, 80 },
+ { 51, 55, 90 }, { 51, 58, 80 }, { 51, 58, 93 }, { 51, 75, 90 },
+ { 51, 75, 93 }, { 51, 80, 90 }, { 51, 80, 93 }, { 51, 90, 93 },
+ { 52, 53, 61 }, { 52, 53, 76 }, { 52, 53, 94 }, { 52, 56, 81 },
+ { 52, 56, 91 }, { 52, 61, 81 }, { 52, 61, 94 }, { 52, 76, 91 },
+ { 52, 76, 94 }, { 52, 81, 91 }, { 52, 81, 94 }, { 52, 91, 94 },
+ { 53, 57, 82 }, { 53, 57, 92 }, { 53, 61, 82 }, { 53, 61, 94 },
+ { 53, 76, 92 }, { 53, 76, 94 }, { 53, 82, 92 }, { 53, 82, 94 },
+ { 53, 92, 94 }, { 54, 59, 62 }, { 54, 59, 77 }, { 54, 59, 95 },
+ { 54, 62, 79 }, { 54, 62, 95 }, { 54, 77, 89 }, { 54, 77, 95 },
+ { 54, 79, 89 }, { 54, 79, 95 }, { 54, 89, 95 }, { 55, 60, 63 },
+ { 55, 60, 78 }, { 55, 60, 96 }, { 55, 63, 80 }, { 55, 63, 96 },
+ { 55, 78, 90 }, { 55, 78, 96 }, { 55, 80, 90 }, { 55, 80, 96 },
+ { 55, 90, 96 }, { 56, 59, 64 }, { 56, 59, 77 }, { 56, 59, 97 },
+ { 56, 64, 81 }, { 56, 64, 97 }, { 56, 77, 91 }, { 56, 77, 97 },
+ { 56, 81, 91 }, { 56, 81, 97 }, { 56, 91, 97 }, { 57, 60, 65 },
+ { 57, 60, 78 }, { 57, 60, 98 }, { 57, 65, 82 }, { 57, 65, 98 },
+ { 57, 78, 92 }, { 57, 78, 98 }, { 57, 82, 92 }, { 57, 82, 98 },
+ { 57, 92, 98 }, { 58, 66, 67 }, { 58, 66, 79 }, { 58, 66, 99 },
+ { 58, 67, 80 }, { 58, 67, 99 }, { 58, 79, 93 }, { 58, 79, 99 },
+ { 58, 80, 93 }, { 58, 80, 99 }, { 58, 93, 99 }, { 59, 62, 83 },
+ { 59, 62, 95 }, { 59, 64, 83 }, { 59, 64, 97 }, { 59, 77, 95 },
+ { 59, 77, 97 }, { 59, 83, 95 }, { 59, 83, 97 }, { 59, 95, 97 },
+ { 60, 63, 84 }, { 60, 63, 96 }, { 60, 65, 84 }, { 60, 65, 98 },
+ { 60, 78, 96 }, { 60, 78, 98 }, { 60, 84, 96 }, { 60, 84, 98 },
+ { 60, 96, 98 }, { 61, 68, 69 }, { 61, 68, 81 }, { 61, 68, 100 },
+ { 61, 69, 82 }, { 61, 69, 100 }, { 61, 81, 94 }, { 61, 81, 100 },
+ { 61, 82, 94 }, { 61, 82, 100 }, { 61, 94, 100 }, { 62, 66, 70 },
+ { 62, 66, 79 }, { 62, 66, 101 }, { 62, 70, 83 }, { 62, 70, 101 },
+ { 62, 79, 95 }, { 62, 79, 101 }, { 62, 83, 95 }, { 62, 83, 101 },
+ { 62, 95, 101 }, { 63, 67, 71 }, { 63, 67, 80 }, { 63, 67, 102 },
+ { 63, 71, 84 }, { 63, 71, 102 }, { 63, 80, 96 }, { 63, 80, 102 },
+ { 63, 84, 96 }, { 63, 84, 102 }, { 63, 96, 102 }, { 64, 68, 72 },
+ { 64, 68, 81 }, { 64, 68, 103 }, { 64, 72, 83 }, { 64, 72, 103 },
+ { 64, 81, 97 }, { 64, 81, 103 }, { 64, 83, 97 }, { 64, 83, 103 },
+ { 64, 97, 103 }, { 65, 69, 73 }, { 65, 69, 82 }, { 65, 69, 104 },
+ { 65, 73, 84 }, { 65, 73, 104 }, { 65, 82, 98 }, { 65, 82, 104 },
+ { 65, 84, 98 }, { 65, 84, 104 }, { 65, 98, 104 }, { 66, 67, 85 },
+ { 66, 67, 99 }, { 66, 70, 85 }, { 66, 70, 101 }, { 66, 79, 99 },
+ { 66, 79, 101 }, { 66, 85, 99 }, { 66, 85, 101 }, { 66, 99, 101 },
+ { 67, 71, 85 }, { 67, 71, 102 }, { 67, 80, 99 }, { 67, 80, 102 },
+ { 67, 85, 99 }, { 67, 85, 102 }, { 67, 99, 102 }, { 68, 69, 86 },
+ { 68, 69, 100 }, { 68, 72, 86 }, { 68, 72, 103 }, { 68, 81, 100 },
+ { 68, 81, 103 }, { 68, 86, 100 }, { 68, 86, 103 }, { 68, 100, 103 },
+ { 69, 73, 86 }, { 69, 73, 104 }, { 69, 82, 100 }, { 69, 82, 104 },
+ { 69, 86, 100 }, { 69, 86, 104 }, { 69, 100, 104 }, { 70, 72, 74 },
+ { 70, 72, 83 }, { 70, 72, 105 }, { 70, 74, 85 }, { 70, 74, 105 },
+ { 70, 83, 101 }, { 70, 83, 105 }, { 70, 85, 101 }, { 70, 85, 105 },
+ { 70, 101, 105 }, { 71, 73, 74 }, { 71, 73, 84 }, { 71, 73, 106 },
+ { 71, 74, 85 }, { 71, 74, 106 }, { 71, 84, 102 }, { 71, 84, 106 },
+ { 71, 85, 102 }, { 71, 85, 106 }, { 71, 102, 106 }, { 72, 74, 86 },
+ { 72, 74, 105 }, { 72, 83, 103 }, { 72, 83, 105 }, { 72, 86, 103 },
+ { 72, 86, 105 }, { 72, 103, 105 }, { 73, 74, 86 }, { 73, 74, 106 },
+ { 73, 84, 104 }, { 73, 84, 106 }, { 73, 86, 104 }, { 73, 86, 106 },
+ { 73, 104, 106 }, { 74, 85, 105 }, { 74, 85, 106 }, { 74, 86, 105 },
+ { 74, 86, 106 }, { 74, 105, 106 }, { 75, 87, 88 }, { 75, 87, 89 },
+ { 75, 87, 107 }, { 75, 88, 90 }, { 75, 88, 107 }, { 75, 89, 93 },
+ { 75, 89, 107 }, { 75, 90, 93 }, { 75, 90, 107 }, { 75, 93, 107 },
+ { 76, 87, 88 }, { 76, 87, 91 }, { 76, 87, 108 }, { 76, 88, 92 },
+ { 76, 88, 108 }, { 76, 91, 94 }, { 76, 91, 108 }, { 76, 92, 94 },
+ { 76, 92, 108 }, { 76, 94, 108 }, { 77, 87, 89 }, { 77, 87, 91 },
+ { 77, 87, 109 }, { 77, 89, 95 }, { 77, 89, 109 }, { 77, 91, 97 },
+ { 77, 91, 109 }, { 77, 95, 97 }, { 77, 95, 109 }, { 77, 97, 109 },
+ { 78, 88, 90 }, { 78, 88, 92 }, { 78, 88, 110 }, { 78, 90, 96 },
+ { 78, 90, 110 }, { 78, 92, 98 }, { 78, 92, 110 }, { 78, 96, 98 },
+ { 78, 96, 110 }, { 78, 98, 110 }, { 79, 89, 93 }, { 79, 89, 95 },
+ { 79, 89, 111 }, { 79, 93, 99 }, { 79, 93, 111 }, { 79, 95, 101 },
+ { 79, 95, 111 }, { 79, 99, 101 }, { 79, 99, 111 }, { 79, 101, 111 },
+ { 80, 90, 93 }, { 80, 90, 96 }, { 80, 90, 112 }, { 80, 93, 99 },
+ { 80, 93, 112 }, { 80, 96, 102 }, { 80, 96, 112 }, { 80, 99, 102 },
+ { 80, 99, 112 }, { 80, 102, 112 }, { 81, 91, 94 }, { 81, 91, 97 },
+ { 81, 91, 113 }, { 81, 94, 100 }, { 81, 94, 113 }, { 81, 97, 103 },
+ { 81, 97, 113 }, { 81, 100, 103 }, { 81, 100, 113 }, { 81, 103, 113 },
+ { 82, 92, 94 }, { 82, 92, 98 }, { 82, 92, 114 }, { 82, 94, 100 },
+ { 82, 94, 114 }, { 82, 98, 104 }, { 82, 98, 114 }, { 82, 100, 104 },
+ { 82, 100, 114 }, { 82, 104, 114 }, { 83, 95, 97 }, { 83, 95, 101 },
+ { 83, 95, 115 }, { 83, 97, 103 }, { 83, 97, 115 }, { 83, 101, 105 },
+ { 83, 101, 115 }, { 83, 103, 105 }, { 83, 103, 115 }, { 83, 105, 115 },
+ { 84, 96, 98 }, { 84, 96, 102 }, { 84, 96, 116 }, { 84, 98, 104 },
+ { 84, 98, 116 }, { 84, 102, 106 }, { 84, 102, 116 }, { 84, 104, 106 },
+ { 84, 104, 116 }, { 84, 106, 116 }, { 85, 99, 101 }, { 85, 99, 102 },
+ { 85, 99, 117 }, { 85, 101, 105 }, { 85, 101, 117 }, { 85, 102, 106 },
+ { 85, 102, 117 }, { 85, 105, 106 }, { 85, 105, 117 }, { 85, 106, 117 },
+ { 86, 100, 103 }, { 86, 100, 104 }, { 86, 100, 118 }, { 86, 103, 105 },
+ { 86, 103, 118 }, { 86, 104, 106 }, { 86, 104, 118 }, { 86, 105, 106 },
+ { 86, 105, 118 }, { 86, 106, 118 }, { 87, 88, 107 }, { 87, 88, 108 },
+ { 87, 89, 107 }, { 87, 89, 109 }, { 87, 91, 108 }, { 87, 91, 109 },
+ { 87, 107, 108 }, { 87, 107, 109 }, { 87, 108, 109 }, { 88, 90, 107 },
+ { 88, 90, 110 }, { 88, 92, 108 }, { 88, 92, 110 }, { 88, 107, 108 },
+ { 88, 107, 110 }, { 88, 108, 110 }, { 89, 93, 107 }, { 89, 93, 111 },
+ { 89, 95, 109 }, { 89, 95, 111 }, { 89, 107, 109 }, { 89, 107, 111 },
+ { 89, 109, 111 }, { 90, 93, 107 }, { 90, 93, 112 }, { 90, 96, 110 },
+ { 90, 96, 112 }, { 90, 107, 110 }, { 90, 107, 112 }, { 90, 110, 112 },
+ { 91, 94, 108 }, { 91, 94, 113 }, { 91, 97, 109 }, { 91, 97, 113 },
+ { 91, 108, 109 }, { 91, 108, 113 }, { 91, 109, 113 }, { 92, 94, 108 },
+ { 92, 94, 114 }, { 92, 98, 110 }, { 92, 98, 114 }, { 92, 108, 110 },
+ { 92, 108, 114 }, { 92, 110, 114 }, { 93, 99, 111 }, { 93, 99, 112 },
+ { 93, 107, 111 }, { 93, 107, 112 }, { 93, 111, 112 }, { 94, 100, 113 },
+ { 94, 100, 114 }, { 94, 108, 113 }, { 94, 108, 114 }, { 94, 113, 114 },
+ { 95, 97, 109 }, { 95, 97, 115 }, { 95, 101, 111 }, { 95, 101, 115 },
+ { 95, 109, 111 }, { 95, 109, 115 }, { 95, 111, 115 }, { 96, 98, 110 },
+ { 96, 98, 116 }, { 96, 102, 112 }, { 96, 102, 116 }, { 96, 110, 112 },
+ { 96, 110, 116 }, { 96, 112, 116 }, { 97, 103, 113 }, { 97, 103, 115 },
+ { 97, 109, 113 }, { 97, 109, 115 }, { 97, 113, 115 }, { 98, 104, 114 },
+ { 98, 104, 116 }, { 98, 110, 114 }, { 98, 110, 116 }, { 98, 114, 116 },
+ { 99, 101, 111 }, { 99, 101, 117 }, { 99, 102, 112 }, { 99, 102, 117 },
+ { 99, 111, 112 }, { 99, 111, 117 }, { 99, 112, 117 }, { 100, 103, 113 },
+ { 100, 103, 118 }, { 100, 104, 114 }, { 100, 104, 118 }, { 100, 113, 114 },
+ { 100, 113, 118 }, { 100, 114, 118 }, { 101, 105, 115 }, { 101, 105, 117 },
+ { 101, 111, 115 }, { 101, 111, 117 }, { 101, 115, 117 }, { 102, 106, 116 },
+ { 102, 106, 117 }, { 102, 112, 116 }, { 102, 112, 117 }, { 102, 116, 117 },
+ { 103, 105, 115 }, { 103, 105, 118 }, { 103, 113, 115 }, { 103, 113, 118 },
+ { 103, 115, 118 }, { 104, 106, 116 }, { 104, 106, 118 }, { 104, 114, 116 },
+ { 104, 114, 118 }, { 104, 116, 118 }, { 105, 106, 117 }, { 105, 106, 118 },
+ { 105, 115, 117 }, { 105, 115, 118 }, { 105, 117, 118 }, { 106, 116, 117 },
+ { 106, 116, 118 }, { 106, 117, 118 }, { 107, 108, 109 }, { 107, 108, 110 },
+ { 107, 108, 119 }, { 107, 109, 111 }, { 107, 109, 119 }, { 107, 110, 112 },
+ { 107, 110, 119 }, { 107, 111, 112 }, { 107, 111, 119 }, { 107, 112, 119 },
+ { 108, 109, 113 }, { 108, 109, 119 }, { 108, 110, 114 }, { 108, 110, 119 },
+ { 108, 113, 114 }, { 108, 113, 119 }, { 108, 114, 119 }, { 109, 111, 115 },
+ { 109, 111, 119 }, { 109, 113, 115 }, { 109, 113, 119 }, { 109, 115, 119 },
+ { 110, 112, 116 }, { 110, 112, 119 }, { 110, 114, 116 }, { 110, 114, 119 },
+ { 110, 116, 119 }, { 111, 112, 117 }, { 111, 112, 119 }, { 111, 115, 117 },
+ { 111, 115, 119 }, { 111, 117, 119 }, { 112, 116, 117 }, { 112, 116, 119 },
+ { 112, 117, 119 }, { 113, 114, 118 }, { 113, 114, 119 }, { 113, 115, 118 },
+ { 113, 115, 119 }, { 113, 118, 119 }, { 114, 116, 118 }, { 114, 116, 119 },
+ { 114, 118, 119 }, { 115, 117, 118 }, { 115, 117, 119 }, { 115, 118, 119 },
+ { 116, 117, 118 }, { 116, 117, 119 }, { 116, 118, 119 }, { 117, 118, 119 }
+};
+
+static float edge_color_600[NUM_EDGE_600][4];
+static float face_color_600[NUM_FACE_600][4];
+static float face_color_trans_600[NUM_FACE_600][4];
+
+
+/* Add a rotation around the wx-plane to the matrix m. */
+static void rotatewx(float m[4][4], float phi)
+{
+ float c, s, u, v;
+ int i;
+
+ phi *= M_PI/180.0;
+ c = cos(phi);
+ s = sin(phi);
+ for (i=0; i<4; i++)
+ {
+ u = m[i][1];
+ v = m[i][2];
+ m[i][1] = c*u+s*v;
+ m[i][2] = -s*u+c*v;
+ }
+}
+
+
+/* Add a rotation around the wy-plane to the matrix m. */
+static void rotatewy(float m[4][4], float phi)
+{
+ float c, s, u, v;
+ int i;
+
+ phi *= M_PI/180.0;
+ c = cos(phi);
+ s = sin(phi);
+ for (i=0; i<4; i++)
+ {
+ u = m[i][0];
+ v = m[i][2];
+ m[i][0] = c*u-s*v;
+ m[i][2] = s*u+c*v;
+ }
+}
+
+
+/* Add a rotation around the wz-plane to the matrix m. */
+static void rotatewz(float m[4][4], float phi)
+{
+ float c, s, u, v;
+ int i;
+
+ phi *= M_PI/180.0;
+ c = cos(phi);
+ s = sin(phi);
+ for (i=0; i<4; i++)
+ {
+ u = m[i][0];
+ v = m[i][1];
+ m[i][0] = c*u+s*v;
+ m[i][1] = -s*u+c*v;
+ }
+}
+
+
+/* Add a rotation around the xy-plane to the matrix m. */
+static void rotatexy(float m[4][4], float phi)
+{
+ float c, s, u, v;
+ int i;
+
+ phi *= M_PI/180.0;
+ c = cos(phi);
+ s = sin(phi);
+ for (i=0; i<4; i++)
+ {
+ u = m[i][2];
+ v = m[i][3];
+ m[i][2] = c*u+s*v;
+ m[i][3] = -s*u+c*v;
+ }
+}
+
+
+/* Add a rotation around the xz-plane to the matrix m. */
+static void rotatexz(float m[4][4], float phi)
+{
+ float c, s, u, v;
+ int i;
+
+ phi *= M_PI/180.0;
+ c = cos(phi);
+ s = sin(phi);
+ for (i=0; i<4; i++)
+ {
+ u = m[i][1];
+ v = m[i][3];
+ m[i][1] = c*u-s*v;
+ m[i][3] = s*u+c*v;
+ }
+}
+
+
+/* Add a rotation around the yz-plane to the matrix m. */
+static void rotateyz(float m[4][4], float phi)
+{
+ float c, s, u, v;
+ int i;
+
+ phi *= M_PI/180.0;
+ c = cos(phi);
+ s = sin(phi);
+ for (i=0; i<4; i++)
+ {
+ u = m[i][0];
+ v = m[i][3];
+ m[i][0] = c*u-s*v;
+ m[i][3] = s*u+c*v;
+ }
+}
+
+
+/* Compute the rotation matrix m from the rotation angles. */
+static void rotateall(float m[4][4])
+{
+ int i, j;
+
+ for (i=0; i<4; i++)
+ for (j=0; j<4; j++)
+ m[i][j] = (i==j);
+ rotatewx(m,alpha);
+ rotatewy(m,beta);
+ rotatewz(m,delta);
+ rotatexy(m,zeta);
+ rotatexz(m,eta);
+ rotateyz(m,theta);
+}
+
+
+/* Compute the normal vector of a plane based on three points in the plane. */
+static void normal(float *p, float *q, float *r, float *n)
+{
+ float u[3], v[3], t;
+
+ u[0] = q[0]-p[0];
+ u[1] = q[1]-p[1];
+ u[2] = q[2]-p[2];
+ v[0] = r[0]-p[0];
+ v[1] = r[1]-p[1];
+ v[2] = r[2]-p[2];
+ n[0] = u[1]*v[2]-u[2]*v[1];
+ n[1] = u[2]*v[0]-u[0]*v[2];
+ n[2] = u[0]*v[1]-u[1]*v[0];
+ t = sqrt(n[0]*n[0]+n[1]*n[1]+n[2]*n[2]);
+ n[0] /= t;
+ n[1] /= t;
+ n[2] /= t;
+}
+
+
+/* Project an array of vertices from 4d to 3d. */
+static void project(float vert[][4], float v[][4], int num)
+{
+ float m[4][4], s;
+ int i, j, k;
+
+ rotateall(m);
+
+ /* Project the vertices from 4d to 3d. */
+ for (i=0; i<num; i++)
+ {
+ for (j=0; j<4; j++)
+ {
+ s = 0.0;
+ for (k=0; k<4; k++)
+ s += m[j][k]*vert[i][k];
+ v[i][j] = s+offset4d[j];
+ }
+ if (projection_4d == DISP_4D_ORTHOGRAPHIC)
+ {
+ for (j=0; j<3; j++)
+ v[i][j] /= 2.0;
+ v[i][3] = 1.0;
+ }
+ else
+ {
+ for (j=0; j<4; j++)
+ v[i][j] /= v[i][3];
+ }
+ }
+
+ /* Move the projected vertices along the z-axis so that they become visible
+ in the viewport. */
+ for (i=0; i<num; i++)
+ {
+ for (j=0; j<4; j++)
+ v[i][j] += offset3d[j];
+ }
+}
+
+
+/* Draw a single polytope. */
+static void draw(ModeInfo *mi,
+ float v[][4], int edge[][2], int num_edge, int face[],
+ int num_face, int vert_per_face, float edge_color[][4],
+ float face_color[][4], float face_color_trans[][4])
+{
+ int i, j;
+ float n[3];
+ static float red[4] = { 1.0, 0.0, 0.0, 1.0 };
+ static float red_trans[4] = { 1.0, 0.0, 0.0, 1.0 };
+
+ mi->polygon_count = 0;
+ if (display_mode == DISP_WIREFRAME)
+ {
+ if (color_mode == COLORS_SINGLE)
+ glColor4fv(red);
+ glBegin(GL_LINES);
+ for (i=0; i<num_edge; i++)
+ {
+ if (color_mode == COLORS_DEPTH)
+ glColor4fv(edge_color[i]);
+ glVertex4fv(v[edge[i][0]]);
+ glVertex4fv(v[edge[i][1]]);
+ }
+ glEnd();
+ mi->polygon_count = num_edge;
+ }
+ else
+ {
+ if (color_mode == COLORS_SINGLE)
+ {
+ red_trans[3] = face_color_trans[0][3]/2.0;
+ if (display_mode == DISP_TRANSPARENT)
+ glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,red_trans);
+ else
+ glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,red);
+ }
+ for (i=0; i<num_face; i++)
+ {
+ glBegin(GL_POLYGON);
+ if (color_mode == COLORS_DEPTH)
+ {
+ if (display_mode == DISP_TRANSPARENT)
+ glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,
+ face_color_trans[i]);
+ else
+ glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,
+ face_color[i]);
+ }
+ normal(v[face[i*vert_per_face]],v[face[i*vert_per_face+1]],
+ v[face[i*vert_per_face+2]],n);
+ glNormal3fv(n);
+ for (j=0; j<vert_per_face; j++)
+ glVertex4fv(v[face[i*vert_per_face+j]]);
+ glEnd();
+ }
+ mi->polygon_count = num_face;
+ }
+}
+
+
+/* Draw a 5-cell {3,3,3} projected into 3d. */
+static void cell_5(ModeInfo *mi)
+{
+ float v[NUM_VERT_5][4];
+
+ project(vert_5,v,NUM_VERT_5);
+ draw(mi, v,edge_5,NUM_EDGE_5,(int *)face_5,NUM_FACE_5,VERT_PER_FACE_5,
+ edge_color_5,face_color_5,face_color_trans_5);
+}
+
+
+/* Draw a 8-cell {4,3,3} projected into 3d. */
+static void cell_8(ModeInfo *mi)
+{
+ float v[NUM_VERT_8][4];
+
+ project(vert_8,v,NUM_VERT_8);
+ draw(mi,v,edge_8,NUM_EDGE_8,(int *)face_8,NUM_FACE_8,VERT_PER_FACE_8,
+ edge_color_8,face_color_8,face_color_trans_8);
+}
+
+
+/* Draw a 16-cell {3,3,4} projected into 3d. */
+static void cell_16(ModeInfo *mi)
+{
+ float v[NUM_VERT_16][4];
+
+ project(vert_16,v,NUM_VERT_16);
+ draw(mi,v,edge_16,NUM_EDGE_16,(int *)face_16,NUM_FACE_16,VERT_PER_FACE_16,
+ edge_color_16,face_color_16,face_color_trans_16);
+}
+
+
+/* Draw a 24-cell {3,4,3} projected into 3d. */
+static void cell_24(ModeInfo *mi)
+{
+ float v[NUM_VERT_24][4];
+
+ project(vert_24,v,NUM_VERT_24);
+ draw(mi,v,edge_24,NUM_EDGE_24,(int *)face_24,NUM_FACE_24,VERT_PER_FACE_24,
+ edge_color_24,face_color_24,face_color_trans_24);
+}
+
+
+/* Draw a 120-cell {5,3,3} projected into 3d. */
+static void cell_120(ModeInfo *mi)
+{
+ float v[NUM_VERT_120][4];
+
+ project(vert_120,v,NUM_VERT_120);
+ draw(mi,
+ v,edge_120,NUM_EDGE_120,(int *)face_120,NUM_FACE_120,VERT_PER_FACE_120,
+ edge_color_120,face_color_120,face_color_trans_120);
+}
+
+
+/* Draw a 600-cell {3,3,5} projected into 3d. */
+static void cell_600(ModeInfo *mi)
+{
+ float v[NUM_VERT_600][4];
+
+ project(vert_600,v,NUM_VERT_600);
+ draw(mi,
+ v,edge_600,NUM_EDGE_600,(int *)face_600,NUM_FACE_600,VERT_PER_FACE_600,
+ edge_color_600,face_color_600,face_color_trans_600);
+}
+
+
+/* Compute a color based on the w-depth of a point. */
+static void color(float depth, float alpha, float min, float max,
+ float color[4])
+{
+ double d, t;
+ int s;
+
+ d = (depth-min)/(max-min);
+ s = floor(d*4.0);
+ t = d*4.0-s;
+ if (s < 0)
+ s += 6;
+ if (s >= 6)
+ s -= 6;
+ switch (s)
+ {
+ case 0:
+ color[0] = 1.0;
+ color[1] = t;
+ color[2] = 0.0;
+ break;
+ case 1:
+ color[0] = 1.0-t;
+ color[1] = 1.0;
+ color[2] = 0.0;
+ break;
+ case 2:
+ color[0] = 0.0;
+ color[1] = 1.0;
+ color[2] = t;
+ break;
+ case 3:
+ color[0] = 0.0;
+ color[1] = 1.0-t;
+ color[2] = 1.0;
+ break;
+ case 4:
+ color[0] = t;
+ color[1] = 0.0;
+ color[2] = 1.0;
+ break;
+ case 5:
+ color[0] = 1.0;
+ color[1] = 0.0;
+ color[2] = 1.0-t;
+ break;
+ }
+ color[3] = alpha;
+}
+
+
+/* Set the colors of a single polytope's edges and faces. */
+static void colors(float vert[][4], int edge[][2], int num_edge, int face[],
+ int num_face, int vert_per_face, float edge_color[][4],
+ float face_color[][4], float face_color_trans[][4],
+ float alpha, float min_edge_depth, float max_edge_depth,
+ float min_face_depth, float max_face_depth)
+{
+ int i, j;
+ float depth;
+
+ for (i=0; i<num_edge; i++)
+ {
+ depth = (vert[edge[i][0]][3]+vert[edge[i][1]][3])/2.0;
+ color(depth,1.0,min_edge_depth,max_edge_depth,edge_color[i]);
+ }
+ for (i=0; i<num_face; i++)
+ {
+ depth = 0.0;
+ for (j=0; j<vert_per_face; j++)
+ depth += vert[face[i*vert_per_face+j]][3];
+ depth /= vert_per_face;
+ color(depth,1.0,min_face_depth,max_face_depth,face_color[i]);
+ color(depth,alpha,min_face_depth,max_face_depth,face_color_trans[i]);
+ }
+}
+
+
+/* Set the colors of the polytopes' edges and faces. */
+static void set_colors(void)
+{
+ /* 5-cell. */
+ colors(vert_5,edge_5,NUM_EDGE_5,(int *)face_5,NUM_FACE_5,
+ VERT_PER_FACE_5,edge_color_5,face_color_5,face_color_trans_5,
+ 0.5,MIN_EDGE_DEPTH_5,MAX_EDGE_DEPTH_5,MIN_FACE_DEPTH_5,
+ MAX_FACE_DEPTH_5);
+
+ /* 8-cell. */
+ colors(vert_8,edge_8,NUM_EDGE_8,(int *)face_8,NUM_FACE_8,
+ VERT_PER_FACE_8,edge_color_8,face_color_8,face_color_trans_8,
+ 0.4,MIN_EDGE_DEPTH_8,MAX_EDGE_DEPTH_8,MIN_FACE_DEPTH_8,
+ MAX_FACE_DEPTH_8);
+
+ /* 16-cell. */
+ colors(vert_16,edge_16,NUM_EDGE_16,(int *)face_16,NUM_FACE_16,
+ VERT_PER_FACE_16,edge_color_16,face_color_16,face_color_trans_16,
+ 0.25,MIN_EDGE_DEPTH_16,MAX_EDGE_DEPTH_16,MIN_FACE_DEPTH_16,
+ MAX_FACE_DEPTH_16);
+
+ /* 24-cell. */
+ colors(vert_24,edge_24,NUM_EDGE_24,(int *)face_24,NUM_FACE_24,
+ VERT_PER_FACE_24,edge_color_24,face_color_24,face_color_trans_24,
+ 0.25,MIN_EDGE_DEPTH_24,MAX_EDGE_DEPTH_24,MIN_FACE_DEPTH_24,
+ MAX_FACE_DEPTH_24);
+
+ /* 120-cell. */
+ colors(vert_120,edge_120,NUM_EDGE_120,(int *)face_120,NUM_FACE_120,
+ VERT_PER_FACE_120,edge_color_120,face_color_120,face_color_trans_120,
+ 0.15,MIN_EDGE_DEPTH_120,MAX_EDGE_DEPTH_120,MIN_FACE_DEPTH_120,
+ MAX_FACE_DEPTH_120);
+
+ /* 600-cell. */
+ colors(vert_600,edge_600,NUM_EDGE_600,(int *)face_600,NUM_FACE_600,
+ VERT_PER_FACE_600,edge_color_600,face_color_600,face_color_trans_600,
+ 0.06,MIN_EDGE_DEPTH_600,MAX_EDGE_DEPTH_600,MIN_FACE_DEPTH_600,
+ MAX_FACE_DEPTH_600);
+}
+
+
+static void init(ModeInfo *mi)
+{
+ static float light_ambient[] = { 0.0, 0.0, 0.0, 1.0 };
+ static float light_diffuse[] = { 1.0, 1.0, 1.0, 1.0 };
+ static float light_specular[] = { 0.0, 0.0, 0.0, 1.0 };
+ static float light_position[] = { 0.0, 0.0, 1.0, 0.0 };
+ static float mat_specular[] = { 1.0, 1.0, 1.0, 1.0 };
+
+ set_colors();
+
+ alpha = 0.0;
+ beta = 0.0;
+ delta = 0.0;
+ zeta = 0.0;
+ eta = 0.0;
+ theta = 0.0;
+
+ glMatrixMode(GL_PROJECTION);
+ glLoadIdentity();
+ if (projection_3d == DISP_3D_PERSPECTIVE)
+ gluPerspective(60.0,1.0,0.1,100.0);
+ else
+ glOrtho(-1.0,1.0,-1.0,1.0,0.1,100.0);;
+ glMatrixMode(GL_MODELVIEW);
+ glLoadIdentity();
+
+ if (display_mode == DISP_WIREFRAME)
+ {
+ glDisable(GL_DEPTH_TEST);
+ glDisable(GL_LIGHTING);
+ glDisable(GL_LIGHT0);
+ glDisable(GL_BLEND);
+ }
+ else if (display_mode == DISP_SURFACE)
+ {
+ glEnable(GL_DEPTH_TEST);
+ glDepthFunc(GL_LESS);
+ glLightModeli(GL_LIGHT_MODEL_TWO_SIDE,GL_TRUE);
+ glEnable(GL_LIGHTING);
+ glEnable(GL_LIGHT0);
+ glLightfv(GL_LIGHT0,GL_AMBIENT,light_ambient);
+ glLightfv(GL_LIGHT0,GL_DIFFUSE,light_diffuse);
+ glLightfv(GL_LIGHT0,GL_SPECULAR,light_specular);
+ glLightfv(GL_LIGHT0,GL_POSITION,light_position);
+ glMaterialfv(GL_FRONT_AND_BACK,GL_SPECULAR,mat_specular);
+ glMaterialf(GL_FRONT_AND_BACK,GL_SHININESS,0.0);
+ glDepthMask(GL_TRUE);
+ glDisable(GL_BLEND);
+ }
+ else if (display_mode == DISP_TRANSPARENT)
+ {
+ glDisable(GL_DEPTH_TEST);
+ glLightModeli(GL_LIGHT_MODEL_TWO_SIDE,GL_TRUE);
+ glEnable(GL_LIGHTING);
+ glEnable(GL_LIGHT0);
+ glLightfv(GL_LIGHT0,GL_AMBIENT,light_ambient);
+ glLightfv(GL_LIGHT0,GL_DIFFUSE,light_diffuse);
+ glLightfv(GL_LIGHT0,GL_SPECULAR,light_specular);
+ glLightfv(GL_LIGHT0,GL_POSITION,light_position);
+ glMaterialfv(GL_FRONT_AND_BACK,GL_SPECULAR,mat_specular);
+ glMaterialf(GL_FRONT_AND_BACK,GL_SHININESS,0.0);
+ glDepthMask(GL_FALSE);
+ glEnable(GL_BLEND);
+ glBlendFunc(GL_SRC_ALPHA,GL_ONE);
+ }
+ else
+ {
+ glDisable(GL_DEPTH_TEST);
+ glDisable(GL_LIGHTING);
+ glDisable(GL_LIGHT0);
+ glDisable(GL_BLEND);
+ }
+}
+
+
+/* Redisplay the polytopes. */
+static void display_polytopes(ModeInfo *mi)
+{
+ alpha += speed_wx;
+ if (alpha >= 360.0)
+ alpha -= 360.0;
+ beta += speed_wy;
+ if (beta >= 360.0)
+ beta -= 360.0;
+ delta += speed_wz;
+ if (delta >= 360.0)
+ delta -= 360.0;
+ zeta += speed_xy;
+ if (zeta >= 360.0)
+ zeta -= 360.0;
+ eta += speed_xz;
+ if (eta >= 360.0)
+ eta -= 360.0;
+ theta += speed_yz;
+ if (theta >= 360.0)
+ theta -= 360.0;
+
+ glMatrixMode(GL_PROJECTION);
+ glLoadIdentity();
+ if (projection_3d == DISP_3D_ORTHOGRAPHIC)
+ {
+ if (aspect >= 1.0)
+ glOrtho(-aspect,aspect,-1.0,1.0,0.1,100.0);
+ else
+ glOrtho(-1.0,1.0,-1.0/aspect,1.0/aspect,0.1,100.0);
+ }
+ else
+ {
+ gluPerspective(60.0,aspect,0.1,100.0);
+ }
+ glMatrixMode(GL_MODELVIEW);
+ glLoadIdentity();
+
+ {
+ static int tick = 0;
+ static int p;
+
+ if (tick == 0)
+ {
+ if (polytope == POLYTOPE_RANDOM)
+ p = random() % (POLYTOPE_LAST_CELL+1);
+ else
+ p = polytope;
+ }
+ if (++tick > 1000) tick = 0;
+
+ if (p == POLYTOPE_5_CELL)
+ cell_5(mi);
+ else if (p == POLYTOPE_8_CELL)
+ cell_8(mi);
+ else if (p == POLYTOPE_16_CELL)
+ cell_16(mi);
+ else if (p == POLYTOPE_24_CELL)
+ cell_24(mi);
+ else if (p == POLYTOPE_120_CELL)
+ cell_120(mi);
+ else if (p == POLYTOPE_600_CELL)
+ cell_600(mi);
+ else
+ abort();
+ }
+}
+
+
+void reshape_polytopes(ModeInfo * mi, int width, int height)
+{
+ polytopesstruct *hp = &poly[MI_SCREEN(mi)];
+
+ hp->WindW = (GLint)width;
+ hp->WindH = (GLint)height;
+ glViewport(0,0,width,height);
+ aspect = (GLfloat)width/(GLfloat)height;
+}
+
+
+/*
+ *-----------------------------------------------------------------------------
+ *-----------------------------------------------------------------------------
+ * Xlock hooks.
+ *-----------------------------------------------------------------------------
+ *-----------------------------------------------------------------------------
+ */
+
+/*
+ *-----------------------------------------------------------------------------
+ * Initialize polytopes. Called each time the window changes.
+ *-----------------------------------------------------------------------------
+ */
+
+void init_polytopes(ModeInfo * mi)
+{
+ polytopesstruct *hp;
+
+ if (poly == NULL)
+ {
+ poly = (polytopesstruct *)calloc(MI_NUM_SCREENS(mi),
+ sizeof(polytopesstruct));
+ if (poly == NULL)
+ return;
+ }
+ hp = &poly[MI_SCREEN(mi)];
+
+ if ((hp->glx_context = init_GL(mi)) != NULL)
+ {
+ reshape_polytopes(mi,MI_WIDTH(mi),MI_HEIGHT(mi));
+ glDrawBuffer(GL_BACK);
+ init(mi);
+ }
+ else
+ {
+ MI_CLEARWINDOW(mi);
+ }
+}
+
+/*
+ *-----------------------------------------------------------------------------
+ * Called by the mainline code periodically to update the display.
+ *-----------------------------------------------------------------------------
+ */
+void draw_polytopes(ModeInfo * mi)
+{
+ Display *display = MI_DISPLAY(mi);
+ Window window = MI_WINDOW(mi);
+ polytopesstruct *hp;
+
+ if (poly == NULL)
+ return;
+ hp = &poly[MI_SCREEN(mi)];
+
+ MI_IS_DRAWN(mi) = True;
+ if (!hp->glx_context)
+ return;
+
+ glXMakeCurrent(display,window,*(hp->glx_context));
+
+ glClear(GL_COLOR_BUFFER_BIT|GL_DEPTH_BUFFER_BIT);
+ glLoadIdentity();
+
+ display_polytopes(mi);
+
+ if (MI_IS_FPS(mi))
+ do_fps (mi);
+
+ glFlush();
+
+ glXSwapBuffers(display,window);
+}
+
+
+/*
+ *-----------------------------------------------------------------------------
+ * The display is being taken away from us. Free up malloc'ed
+ * memory and X resources that we've alloc'ed. Only called
+ * once, we must zap everything for every screen.
+ *-----------------------------------------------------------------------------
+ */
+
+void release_polytopes(ModeInfo * mi)
+{
+ if (poly != NULL)
+ {
+ int screen;
+
+ for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++)
+ {
+ polytopesstruct *hp = &poly[screen];
+
+ if (hp->glx_context)
+ hp->glx_context = (GLXContext *)NULL;
+ }
+ (void) free((void *)poly);
+ poly = (polytopesstruct *)NULL;
+ }
+ FreeAllGL(mi);
+}
+
+void change_polytopes(ModeInfo * mi)
+{
+ polytopesstruct *hp = &poly[MI_SCREEN(mi)];
+
+ if (!hp->glx_context)
+ return;
+
+ glXMakeCurrent(MI_DISPLAY(mi),MI_WINDOW(mi),*(hp->glx_context));
+ init(mi);
+}
+
+#endif /* USE_GL */
projects / xscreensaver / blobdiff