+++ /dev/null
-.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 <carsten@mirsanmir.org>, 03-aug-2009.
projects / xscreensaver / blobdiff