X-Git-Url: http://git.hungrycats.org/cgi-bin/gitweb.cgi?p=xscreensaver;a=blobdiff_plain;f=hacks%2Fglx%2Fklein.man;fp=hacks%2Fglx%2Fklein.man;h=0000000000000000000000000000000000000000;hp=de4fd4807a4ddbc05852c89a636fe22b38ebb786;hb=019de959b265701cd0c3fccbb61f2b69f06bf9ee;hpb=2762a7d7cf8d83e68b8f635941f6609119d630ae diff --git a/hacks/glx/klein.man b/hacks/glx/klein.man deleted file mode 100644 index de4fd480..00000000 --- a/hacks/glx/klein.man +++ /dev/null @@ -1,299 +0,0 @@ -.TH XScreenSaver 1 "" "X Version 11" -.SH NAME -kleinbottle - Draws a 4d Klein bottle. -.SH SYNOPSIS -.B kleinbottle -[\-display \fIhost:display.screen\fP] -[\-install] -[\-visual \fIvisual\fP] -[\-window] -[\-root] -[\-delay \fIusecs\fP] -[\-fps] -[\-klein-bottle \fIbottle-name\fP] -[-figure-8] -[-lawson] -[\-mode \fIdisplay-mode\fP] -[\-wireframe] -[\-surface] -[\-transparent] -[\-appearance \fIappearance\fP] -[\-solid] -[\-bands] -[\-colors \fIcolor-scheme\fP] -[\-twosided] -[\-rainbow] -[\-depth] -[\-view-mode \fIview-mode\fP] -[\-walk] -[\-turn] -[\-walk-turn] -[\-orientation-marks] -[\-projection-3d \fImode\fP] -[\-perspective-3d] -[\-orthographic-3d] -[\-projection-4d \fImode\fP] -[\-perspective-4d] -[\-orthographic-4d] -[\-speed-wx \fIfloat\fP] -[\-speed-wy \fIfloat\fP] -[\-speed-wz \fIfloat\fP] -[\-speed-xy \fIfloat\fP] -[\-speed-xz \fIfloat\fP] -[\-speed-yz \fIfloat\fP] -[\-walk-direction \fIfloat\fP] -[\-walk-speed \fIfloat\fP] -.SH DESCRIPTION -The \fIkleinbottle\fP program shows two different Klein bottles in 4d: -the figure-8 Klein bottle or the Lawson Klein bottle. You can walk on -the Klein bottle, see it turn in 4d, or walk on it while it turns in -4d. The figure-8 Klein bottle is well known in its 3d form. The 4d -form used in this program is an extension of the 3d form to 4d that -does not intersect itself in 4d (which can be seen in the depth colors -mode). The Lawson Klein bottle, on the other hand, does intersect -itself in 4d. Its primary use is that it has a nice appearance for -walking and for turning in 3d. The Klein bottle is a non-orientable -surface. To make this apparent, the two-sided color mode can be used. -Alternatively, orientation markers (curling arrows) can be drawn as a -texture map on the surface of the Klein bottle. While walking on the -Klein bottle, you will notice that the orientation of the curling -arrows changes (which it must because the Klein bottle is -non-orientable). The program projects the 4d Klein bottle to 3d using -either a perspective or an orthographic projection. Which of the two -alternatives looks more appealing depends on the viewing mode and the -Klein bottle. For example, the Lawson Klein bottle looks nicest when -projected perspectively. The figure-8 Klein bottle, on the other -hand, looks nicer while walking when projected orthographically from -4d. The projected Klein bottle can then be projected to the screen -either perspectively or orthographically. When using the walking -modes, perspective projection to the screen should be used. There are -three display modes for the Klein bottle: mesh (wireframe), solid, or -transparent. Furthermore, the appearance of the Klein bottle can be -as a solid object or as a set of see-through bands. Finally, the -colors with with the Klein bottle is drawn can be set to two-sided, -rainbow, or depth. In the first case, the Klein bottle is drawn with -red on one "side" and green on the "other side". Of course, the Klein -bottle only has one side, so the color jumps from red to green along a -curve on the surface of the Klein bottle. This mode enables you to -see that the Klein bottle is non-orientable. The second mode draws -the Klein bottle with fully saturated rainbow colors. This gives a -very nice effect when combined with the see-through bands mode or with -the orientation markers drawn. The third mode draws the Klein bottle -with colors that are chosen according to the 4d "depth" of the points. -This mode enables you to see that the figure-8 Klein bottle does not -intersect itself in 4d, while the Lawson Klein bottle does intersect -itself. The rotation speed for each of the six planes around which -the Klein bottle rotates can be chosen. For the walk-and-turn more, -only the rotation speeds around the true 4d planes are used (the xy, -xz, and yz planes). Furthermore, in the walking modes the walking -direction in the 2d base square of the Klein bottle and the walking -speed can be chosen. This program is somewhat inspired by Thomas -Banchoff's book "Beyond the Third Dimension: Geometry, Computer -Graphics, and Higher Dimensions", Scientific American Library, 1990. -.SH OPTIONS -.I kleinbottle -accepts the following options: -.TP 8 -.B \-window -Draw on a newly-created window. This is the default. -.TP 8 -.B \-root -Draw on the root window. -.TP 8 -.B \-install -Install a private colormap for the window. -.TP 8 -.B \-visual \fIvisual\fP -Specify which visual to use. Legal values are the name of a visual -class, or the id number (decimal or hex) of a specific visual. -.TP 8 -.B \-delay \fImicroseconds\fP -How much of a delay should be introduced between steps of the -animation. Default 10000, or 1/100th second. -.TP 8 -.B \-fps -Display the current frame rate, CPU load, and polygon count. -.PP -The following three options are mutually exclusive. They determine -which Klein bottle is displayed. -.TP 8 -.B \-klein-bottle random -Display a random Klein bottle (default). -.TP 8 -.B \-klein-bottle figure-8 \fP(Shortcut: \fB\-figure-8\fP) -Display the figure-8 Klein bottle. -.TP 8 -.B \-klein-bottle lawson \fP(Shortcut: \fB\-lawson\fP) -Display the Lawson Klein bottle. -.PP -The following four options are mutually exclusive. They determine -how the Klein bottle is displayed. -.TP 8 -.B \-mode random -Display the Klein bottle in a random display mode (default). -.TP 8 -.B \-mode wireframe \fP(Shortcut: \fB\-wireframe\fP) -Display the Klein bottle as a wireframe mesh. -.TP 8 -.B \-mode surface \fP(Shortcut: \fB\-surface\fP) -Display the Klein bottle as a solid surface. -.TP 8 -.B \-mode transparent \fP(Shortcut: \fB\-transparent\fP) -Display the Klein bottle as a transparent surface. -.PP -The following three options are mutually exclusive. They determine the -appearance of the Klein bottle. -.TP 8 -.B \-appearance random -Display the Klein bottle with a random appearance (default). -.TP 8 -.B \-appearance solid \fP(Shortcut: \fB\-solid\fP) -Display the Klein bottle as a solid object. -.TP 8 -.B \-appearance bands \fP(Shortcut: \fB\-bands\fP) -Display the Klein bottle as see-through bands. -.PP -The following four options are mutually exclusive. They determine -how to color the Klein bottle. -.TP 8 -.B \-colors random -Display the Klein bottle with a random color scheme (default). -.TP 8 -.B \-colors twosided \fP(Shortcut: \fB\-twosided\fP) -Display the Klein bottle with two colors: red on one "side" and green -on the "other side". -.TP 8 -.B \-colors rainbow \fP(Shortcut: \fB\-rainbow\fP) -Display the Klein bottle with fully saturated rainbow colors. If the -Klein bottle is displayed as see-through bands, each band will be -displayed with a different color. -.TP 8 -.B \-colors depth \fP(Shortcut: \fB\-depth\fP) -Display the Klein bottle with colors chosen depending on the 4d -"depth" of the points. -.PP -The following four options are mutually exclusive. They determine -how to view the Klein bottle. -.TP 8 -.B \-view-mode random -View the Klein bottle in a random view mode (default). -.TP 8 -.B \-view-mode walk \fP(Shortcut: \fB\-walk\fP) -View the Klein bottle as if walking on its surface. -.TP 8 -.B \-view-mode turn \fP(Shortcut: \fB\-turn\fP) -View the Klein bottle while it turns in 4d. -.TP 8 -.B \-view-mode walk-turn \fP(Shortcut: \fB\-walk-turn\fP) -View the Klein bottle as if walking on its surface. Additionally, the -Klein bottle turns around the true 4d planes (the xy, xz, and yz -planes). -.PP -The following options determine whether orientation marks are shown on -the Klein bottle. -.TP 8 -.B \-orientation-marks -Display orientation marks on the Klein bottle. -.TP 8 -.B \-no-orientation-marks -Don't display orientation marks on the Klein bottle (default). -.PP -The following three options are mutually exclusive. They determine -how the Klein bottle is projected from 3d to 2d (i.e., to the screen). -.TP 8 -.B \-projection-3d random -Project the Klein bottle from 3d to 2d using a random projection mode -(default). -.TP 8 -.B \-projection-3d perspective \fP(Shortcut: \fB\-perspective-3d\fP) -Project the Klein bottle from 3d to 2d using a perspective projection. -.TP 8 -.B \-projection-3d orthographic \fP(Shortcut: \fB\-orthographic-3d\fP) -Project the Klein bottle from 3d to 2d using an orthographic -projection. -.PP -The following three options are mutually exclusive. They determine -how the Klein bottle is projected from 4d to 3d. -.TP 8 -.B \-projection-4d random -Project the Klein bottle from 4d to 3d using a random projection mode -(default). -.TP 8 -.B \-projection-4d perspective \fP(Shortcut: \fB\-perspective-4d\fP) -Project the Klein bottle from 4d to 3d using a perspective projection. -.TP 8 -.B \-projection-4d orthographic \fP(Shortcut: \fB\-orthographic-4d\fP) -Project the Klein bottle from 4d to 3d using an orthographic -projection. -.PP -The following six options determine the rotation speed of the Klein -bottle around the six possible hyperplanes. The rotation speed is -measured in degrees per frame. The speeds should be set to relatively -small values, e.g., less than 4 in magnitude. In walk mode, all -speeds are ignored. In walk-and-turn mode, the 3d rotation speeds are -ignored (i.e., the wx, wy, and wz speeds). In walk-and-turn mode, -smaller speeds must be used than in the turn mode to achieve a nice -visualization. Therefore, in walk-and-turn mode the speeds you have -selected are divided by 5 internally. -.TP 8 -.B \-speed-wx \fIfloat\fP -Rotation speed around the wx plane (default: 1.1). -.TP 8 -.B \-speed-wy \fIfloat\fP -Rotation speed around the wy plane (default: 1.3). -.TP 8 -.B \-speed-wz \fIfloat\fP -Rotation speed around the wz plane (default: 1.5). -.TP 8 -.B \-speed-xy \fIfloat\fP -Rotation speed around the xy plane (default: 1.7). -.TP 8 -.B \-speed-xz \fIfloat\fP -Rotation speed around the xz plane (default: 1.9). -.TP 8 -.B \-speed-yz \fIfloat\fP -Rotation speed around the yz plane (default: 2.1). -.PP -The following two options determine the walking speed and direction. -.TP 8 -.B \-walk-direction \fIfloat\fP -The walking direction is measured as an angle in degrees in the 2d -square that forms the coordinate system of the surface of the Klein -bottle (default: 7.0). -.TP 8 -.B \-walk-speed \fIfloat\fP -The walking speed is measured in percent of some sensible maximum -speed (default: 20.0). -.SH INTERACTION -If you run this program in standalone mode in its turn mode, you can -rotate the Klein bottle by dragging the mouse while pressing the left -mouse button. This rotates the Klein bottle in 3D, i.e., around the -wx, wy, and wz planes. If you press the shift key while dragging the -mouse with the left button pressed the Klein bottle is rotated in 4D, -i.e., around the xy, xz, and yz planes. To examine the Klein bottle -at your leisure, it is best to set all speeds to 0. Otherwise, the -Klein bottle will rotate while the left mouse button is not pressed. -This kind of interaction is not available in the two walk modes. -.SH ENVIRONMENT -.PP -.TP 8 -.B DISPLAY -to get the default host and display number. -.TP 8 -.B XENVIRONMENT -to get the name of a resource file that overrides the global resources -stored in the RESOURCE_MANAGER property. -.SH SEE ALSO -.BR X (1), -.BR xscreensaver (1) -.SH COPYRIGHT -Copyright \(co 2005-2009 by Carsten Steger. Permission to use, copy, -modify, distribute, and sell this software and its documentation for -any purpose is hereby granted without fee, provided that the above -copyright notice appear in all copies and that both that copyright -notice and this permission notice appear in supporting documentation. -No representations are made about the suitability of this software for -any purpose. It is provided "as is" without express or implied -warranty. -.SH AUTHOR -Carsten Steger , 03-aug-2009.