Imatge:Villarceau circles.gif
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Villarceau_circles.gif (480 × 360 píxels, mida de l'arxiu: 582 KB, tipus MIME: image/gif)
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[edit] Summary
Villarceau circles in a Torus. Rendered using POV-Ray.
[edit] POV-Ray source code
/*
Villarceau circles 2.0, by Lucas V. Barbosa - October 2, 2006 - Coded in: POV-Ray 3.6
License: Public Domain
Info
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Author user page: http://en.wikipedia.org/wiki/User:Kieff
The final animation at Wikimedia Commons: http://commons.wikimedia.org/wiki/Image:Villarceau_circles.gif
Notes
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Several modifications were done for each part of the animation and I didn't kept them all here.
So if you wish to reproduce the animation, you'll have to play with this code quite a bit. :)
*/
background { color rgb 1 }
global_settings {
assumed_gamma 1.5
}
camera {
orthographic
location <0,4,-5>*0.75
look_at <0,0,0>
rotate 5*y // slight camera angle so the cutting plane doesn't look too boring
//rotate 90*y // debug rotation
}
light_source {
<0,0,0>, 1
translate <-5,5,0>*1
shadowless // makes everything softer, because shading comes entirely from the surface normal
// this removes specular reflections, but I thought it looked a lot better
}
//Several rotation codes used for various parts of the animation.
//#declare rotation = (-95*sin(clock*pi/2))*y; // 360*clock*y;
#declare rotation = -90*y;
//#declare rotation = (-85 * sin(clock*pi/2))*y;
//Bottom half-torus
#if (1)
difference {
difference {
torus {
1, 0.5
}
torus {
1, 0.499
pigment {
image_map {
//surface inside the torus
png "checker2.png" // 1024x512 checkered image, with 64x64 cells.
interpolate 4
map_type 5
//transmit all 1-sin(clock*pi/2)
//transmit all 0.85
}
}
}
}
box {
-3*<1,0,1>, <1,1,1>*3
rotate degrees(asin(0.5-0.001))*z
}
pigment {
image_map {
png "checker.png" // 1024x512 checkered image, with 64x64 cells.
interpolate 4
map_type 5
//transmit all 1-sin(clock*pi/2)
//transmit all 0.85
}
}
finish {
specular 0.5
roughness 0.01
ambient 0.5
}
rotate rotation
}
#end
//Top half-torus (the one discarded during the animation)
//Notice it doesn't have an inner surface like the other half
#if (0)
intersection {
difference {
torus {
1, 0.5
}
torus {
1, 0.499
}
}
box {
-3*<1,0,1>, <1,1,1>*3
rotate degrees(asin(0.5-0.001))*z
}
pigment {
image_map {
png "checker.png" // 1024x512 checkered image, with 64x64 cells.
interpolate 4
map_type 5
//transmit all 1-sin(clock*pi/2) // Fades it away while moving to the left (see below)
//transmit all 0.85
}
}
finish {
specular 0.5
roughness 0.01
ambient 0.5
}
//translate -x*0.5*sin(clock*pi/2) // Moves this part to the left. Should be enabled along with the fade code above
rotate rotation
}
#end
//Cutting plane
#if (0)
box {
<1.8,0.001,1.8>, -<1.8,0.001,1.8>
pigment {
color rgb <1,0.8,0.5>
//transmit 1-sin(clock*pi/2)*0.4
//transmit 0.6+0.4*sin(clock*pi/2)
transmit 0.6
}
finish {
specular 0.5
roughness 0.01
ambient 0.3
}
//translate 3.5*x - sin(clock*pi/2)*3.5*x
rotate degrees(asin(0.5-0.001))*z
}
#end
//The Villarceau circles
#if (0)
union {
torus {
1, 0.01
translate 0.5*z
}
torus {
1, 0.01
translate -0.5*z
}
pigment {
color rgb <1,0,0>
//transmit clock
}
finish {
ambient 1
}
no_shadow
rotate degrees(asin(0.5-0.001))*z
rotate -85*y
}
#end
/* END OF FILE */
[edit] This is not Licensed
| I, the author of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: Afrikaans | Alemannisch | Aragonés | العربية | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Ελληνικά | English | Español | Esperanto | Euskara | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Latina | Lietuvių | Magyar | Bahasa Melayu | Nederlands | Norsk (bokmål) | Norsk (nynorsk) | 日本語 | Polski | Português | Ripoarish | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски | Svenska | ไทย | Türkçe | Українська | Tiếng Việt | Walon | 简体中文 | 繁體中文 | 粵語 | +/- |
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