File:Pentatope of 70 spheres animation original.gif
Pentatope_of_70_spheres_animation_original.gif (640 × 480 pixels, file size: 2.63 MB, MIME type: image/gif, looped, 44 frames, 4.4 s)
Captions
Summary
[edit]DescriptionPentatope of 70 spheres animation original.gif |
English: Pentatope of 70 spheres. Animation showing 4-dimensional balls stacked into a 4-dimensional pyramid (5x5x5x5), animated through successive 3-dimensional cross-sections. Animated GIF (640x480 pixels, 2752828 bytes). Original size |
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Date | |||||
Source |
Own work. Rendered using POV-Ray and converted with Adobe ImageReady. This image was created with POV-Ray. |
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Author | Blotwell | ||||
Other versions |
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POV-Ray source InfoField | // Pentatope of 70 spheres POV-Ray source by Blotwell
// Uploaded to Wikimedia Commons
// and released under GPL
//
// Render frames 0 through 43 (43 is blank)
#max_trace_level 15
#declare sq = 1/sqrt(2);
#declare T = ((clock-5)/4)*sq;
#declare vx = <2,0,0>;
#declare vy = <1,0,1>;
#declare vw = <1,0,-1>;
#declare vz = <1,sqrt(5/2),0>;
#declare my_sphere_1 =
sphere { <0,0,0>,1 pigment { color rgbf <.9,1,.9,.9> }
finish { refraction 1 ior 1.2 } };
#declare my_sphere_2 =
sphere { <0,0,0>,1 pigment { color rgbf <.9,.9,1,.9> }
finish { refraction 1 ior 1.2 } };
#declare my_sphere_3 =
sphere { <0,0,0>,1 pigment { color rgbf <1,1,.8,.9> }
finish { refraction 1 ior 1.2 } };
#declare my_sphere_4 =
sphere { <0,0,0>,1 pigment { color rgbf <1,.9,.9,.9> }
finish { refraction 1 ior 1.2 } };
#declare my_sphere_5 =
sphere { <0,0,0>,1 pigment { color rgbf <.9,.9,.9,.9> }
finish { refraction 1 ior 1.2 } };
camera {
location <-8,15,-12>-4*vz
right <2/3,0,0>
up <0,1/2,0>
look_at 4*vz-<0,3,0>
}
light_source {vx*10+<0,10,0> color rgb <1,1,1>}
light_source {vy*10+<0,10,0> color rgb <1,1,1>}
plane { <0,1,0>, 0
finish {ambient 0.2}
pigment { marble turbulence 1
color_map { [0.0 rgb 1] [0.9 rgb 0.9] [1.0 rgb <0.6,0.5,0.5>] }
scale 6 } }
plane { <0,-1,0>, -12
finish {ambient 1}
pigment { color rgb <.6,.6,.8> } }
union {
#declare www=0; #while (www<5)
#declare exe=0; #while (exe<5-www)
#declare wye=0; #while (wye<5-www-exe)
#declare tee=(www+wye)*sq*2; #if (tee-1<T) #if (tee+1>T)
object {my_sphere_1 scale sqrt(1-(T-tee)*(T-tee)) translate y+www*vw+exe*vx+wye*vy}
#end #end
#declare wye=wye+1; #end #declare exe=exe+1; #end #declare www=www+1; #end
#declare www=0; #while (www<4)
#declare exe=0; #while (exe<4-www)
#declare wye=0; #while (wye<4-www-exe)
#declare tee=(www+wye)*sq*2+sq; #if (tee-1<T) #if (tee+1>T)
object {my_sphere_2 scale sqrt(1-(T-tee)*(T-tee)) translate y+vz+www*vw+exe*vx+wye*vy}
#end #end
#declare wye=wye+1; #end #declare exe=exe+1; #end #declare www=www+1; #end
#declare www=0; #while (www<3)
#declare exe=0; #while (exe<3-www)
#declare wye=0; #while (wye<3-www-exe)
#declare tee=(www+wye)*sq*2+2*sq; #if (tee-1<T) #if (tee+1>T)
object {my_sphere_3 scale sqrt(1-(T-tee)*(T-tee)) translate y+2*vz+www*vw+exe*vx+wye*vy}
#end #end
#declare wye=wye+1; #end #declare exe=exe+1; #end #declare www=www+1; #end
#declare www=0; #while (www<2)
#declare exe=0; #while (exe<2-www)
#declare wye=0; #while (wye<2-www-exe)
#declare tee=(www+wye)*sq*2+3*sq; #if (tee-1<T) #if (tee+1>T)
object {my_sphere_4 scale sqrt(1-(T-tee)*(T-tee)) translate y+3*vz+www*vw+exe*vx+wye*vy}
#end #end
#declare wye=wye+1; #end #declare exe=exe+1; #end #declare www=www+1; #end
#declare www=0; #while (www<1)
#declare exe=0; #while (exe<1-www)
#declare wye=0; #while (wye<1-www-exe)
#declare tee=(www+wye)*sq*2+4*sq; #if (tee-1<T) #if (tee+1>T)
object {my_sphere_5 scale sqrt(1-(T-tee)*(T-tee)) translate y+4*vz+www*vw+exe*vx+wye*vy}
#end #end
#declare wye=wye+1; #end #declare exe=exe+1; #end #declare www=www+1; #end
}
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Licensing
[edit]Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
| ||
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See version 2 and version 3 of the GNU General Public License for more details.http://www.gnu.org/licenses/gpl.htmlGPLGNU General Public Licensetruetrue |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 14:18, 6 November 2009 | 640 × 480 (2.63 MB) | Datumizer (talk | contribs) | Reverted to version as of 07:23, 27 August 2005 ... I'll upload the new version as a separate file. | |
00:12, 5 November 2009 | 512 × 512 (3.49 MB) | Datumizer (talk | contribs) | Brighter, happier spheres! :) | ||
07:23, 27 August 2005 | 640 × 480 (2.63 MB) | Blotwell (talk | contribs) | Largest version of Image:Pentatope of 70 spheres animation.gif {{GFDL}} |
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