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File:Togliatti surface.png

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Summary

Description
English: Togliatti Surface with w=1, bounded by a sphere with radius=6
Source Own work
Author Claudio Rocchini
Permission
(Reusing this file)		 cc-by-3.0

Source Code

Many thanks to POV-Ray. This is the source code: 

#include "colors.inc"
#include "stdinc.inc"

background { Blue }

camera {
   location <0,-12,6>
   up z 
   right x
   look_at <0,0,0>
}   
                      
light_source {<120,0,120> rgb <1.0, 1.0, 1.0>}
light_source {<-120,-120,0> rgb <0.8, 1.0, 1.0>*0.5}

#declare my_texture = texture {
   pigment { rgb <0.8,0.8,1> }
   finish {    
      phong 0.5
      phong_size 10
   }
}
      
#declare w = 1;      
#declare  T = function { 64*(x-w)*( pow(x,4) -4*pow(x,3)*w -10*x*x*y*y -4*x*x*w*w +16*x*pow(w,3)
   -20*x*y*y*w+ 5*pow(y,4) +16*pow(w,4) -20*y*y*w*w) -5*sqrt(5-sqrt(5))*(2*z-sqrt(5-sqrt(5))*w) *
    pow(4*(x*x+y*y-z*z)+(1+3*sqrt(5))*w*w,2) }

isosurface {
  function { T(x,y,z) }
  threshold 0
  accuracy 0.0001
  max_gradient 2000000
  open
  contained_by {sphere {<0,0,0>,6}}
  texture{ my_texture }
}

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
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  • to share – to copy, distribute and transmit the work
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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.
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.
You may select the license of your choice.

Captions

Togliatti Surface

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author name string: Claudio Rocchini
Wikimedia username: Rocchini
URL: http://commons.wikimedia.org/wiki/User:Rocchini

copyright status

copyrighted

copyright license

GNU Free Documentation License, version 1.2 or later

Creative Commons Attribution-ShareAlike 3.0 Unported

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File history

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Date/TimeThumbnailDimensionsUserComment
current09:15, 1 July 2010Thumbnail for version as of 09:15, 1 July 2010800 × 800 (163 KB)Rocchini{{Information |Description={{en|1=Togliatti Surface with w=1, bounded by a sphere with radius=6}} |Source={{own}} |Author=Claudio Rocchini |Date= |Permission=cc-by-3.0 |other_versions= }}

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Quelle: http://en.wikipedia.org/wiki/File:Togliatti_surface.png