File:Pentatope of 70 spheres animation original.gif

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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)

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Summary[edit]

Description
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
Date
Source Own work. Rendered using POV-Ray and converted with Adobe ImageReady.
 
This image was created with POV-Ray.
Author Blotwell
Other versions
File:Pentatope of 70 spheres animation large.gif
(320x240 pixels, 866986 bytes)
File:Pentatope of 70 spheres animation.gif
(160x120 pixels, 267189 bytes)
Derivative works of this file:  Pentatope 70 spheres.gif
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
  }

Licensing[edit]

GNU head 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.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
GNU head

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.

File history

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Date/TimeThumbnailDimensionsUserComment
current14:18, 6 November 2009Thumbnail for version as of 14:18, 6 November 2009640 × 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 2009Thumbnail for version as of 00:12, 5 November 2009512 × 512 (3.49 MB)Datumizer (talk | contribs)Brighter, happier spheres! :)
07:23, 27 August 2005Thumbnail for version as of 07:23, 27 August 2005640 × 480 (2.63 MB)Blotwell (talk | contribs)Largest version of Image:Pentatope of 70 spheres animation.gif {{GFDL}}

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