1 <?xml version="1.0" encoding="ISO-8859-1"?>
3 <screensaver name="klein" _label="Klein" gl="yes">
8 <number id="delay" type="slider" arg="-delay %"
9 _label="Frame rate" _low-label="Low" _high-label="High"
10 low="0" high="100000" default="10000"
12 <boolean id="showfps" _label="Show frame rate" arg-set="-fps"/>
16 <select id="kleinbottle">
17 <option id="random" _label="Random"/>
18 <option id="figure-8" _label="Figure 8" arg-set="-klein-bottle figure-8"/>
19 <option id="lawson" _label="Lawson" arg-set="-klein-bottle lawson"/>
22 <select id="view-mode">
23 <option id="walk" _label="Random"/>
24 <option id="walk" _label="Walk" arg-set="-view-mode walk"/>
25 <option id="turn" _label="Turn" arg-set="-view-mode turn"/>
26 <option id="walk-turn" _label="Walk and turn" arg-set="-view-mode walk-turn"/>
29 <boolean id="orientation-marks" _label="Show orientation marks"
30 arg-set="-orientation-marks"/>
34 <select id="display-mode">
35 <option id="random" _label="Random"/>
36 <option id="wire" _label="Wireframe mesh" arg-set="-mode wireframe"/>
37 <option id="surface" _label="Solid surface" arg-set="-mode surface"/>
38 <option id="transparent" _label="Transparent surface" arg-set="-mode transparent"/>
41 <select id="appearance">
42 <option id="random" _label="Random"/>
43 <option id="solid" _label="Solid object" arg-set="-appearance solid"/>
44 <option id="bands" _label="See-through bands" arg-set="-appearance bands"/>
50 <option id="random" _label="Random"/>
51 <option id="twosided" _label="Two-sided" arg-set="-colors two-sided"/>
52 <option id="rainbow" _label="Rainbow colors" arg-set="-colors rainbow"/>
53 <option id="depth" _label="4d depth colors" arg-set="-colors depth"/>
56 <select id="projection3d">
57 <option id="random" _label="Random"/>
58 <option id="perspective-3d" _label="Perspective 3D" arg-set="-projection-3d perspective"/>
59 <option id="orthographic-3d" _label="Orthographic 3D" arg-set="-projection-3d orthographic"/>
62 <select id="projection4d">
63 <option id="random" _label="Random"/>
64 <option id="perspective-4d" _label="Perspective 4D" arg-set="-projection-4d perspective"/>
65 <option id="orthographic-4d" _label="Orthographic 4D" arg-set="-projection-4d orthographic"/>
71 <number id="speed-wx" type="slider" arg="-speed-wx %"
72 _label="WX rotation speed"
73 _low-label="-4.0" _high-label="4.0"
74 low="-4.0" high="4.0" default="1.1"/>
76 <number id="speed-wy" type="slider" arg="-speed-wy %"
77 _label="WY rotation speed"
78 _low-label="-4.0" _high-label="4.0"
79 low="-4.0" high="4.0" default="1.3"/>
81 <number id="speed-wz" type="slider" arg="-speed-wz %"
82 _label="WZ rotation speed"
83 _low-label="-4.0" _high-label="4.0"
84 low="-4.0" high="4.0" default="1.5"/>
86 <number id="walk-direction" type="slider" arg="-walk-direction %"
87 _label="Walking direction"
88 _low-label="-180.0" _high-label="180.0"
89 low="-180.0" high="180.0" default="7.0"/>
93 <number id="speed-xy" type="slider" arg="-speed-xy %"
94 _label="XY rotation speed"
95 _low-label="-4.0" _high-label="4.0"
96 low="-4.0" high="4.0" default="1.7"/>
98 <number id="speed-xz" type="slider" arg="-speed-xz %"
99 _label="XZ rotation speed"
100 _low-label="-4.0" _high-label="4.0"
101 low="-4.0" high="4.0" default="1.9"/>
103 <number id="speed-yz" type="slider" arg="-speed-yz %"
104 _label="YZ rotation speed"
105 _low-label="-4.0" _high-label="4.0"
106 low="-4.0" high="4.0" default="2.1"/>
108 <number id="walk-speed" type="slider" arg="-walk-speed %"
109 _label="Walking speed"
110 _low-label="1.0" _high-label="100.0"
111 low="1.0" high="100.0" default="20.0"/>
116 This animates a Klein bottle, the 4D analog of a moebius strip.
118 You can walk on the surface of the bottle or rotate it in 4D or walk
119 on it while it rotates in 4D. Inspired by Thomas Banchoff's book
120 "Beyond the Third Dimension: Geometry, Computer Graphics, and Higher
121 Dimensions", Scientific American Library, 1990.
123 http://en.wikipedia.org/wiki/Klein_bottle
125 Written by Carsten Steger; 2008.