Jump to content

File:Rhombic tricontahedron.gif

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Rhombic_tricontahedron.gif (192 × 256 pixels, file size: 106 KB, MIME type: image/gif, looped, 18 frames, 1.8 s)

Summary

Description
English: Animated semitransparent model of a rhombic tricontahedron rendered in POV-Ray.[1] Geometric data is from http://www.rwgrayprojects.com/Lynn/Coordinates/coord01.html .
Source Own work
Author Cmglee
Other versions

Derivative works of this file:

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
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.
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.
  1. ↑ 
    #declare radius_rt_vertex = 0.1;
#declare radius_rt_edge = 0.05;

#declare radius_tetra_vertex = 0.5;
#declare radius_tetra_edge = 0.2;

#declare radius_cube_vertex = 0.5;
#declare radius_cube_edge = 0.25;

#declare radius_octa_vertex = 0.5;
#declare radius_octa_edge = 0.25;

#declare radius_duodeca_vertex = 0.5;
#declare radius_duodeca_edge = 0.25;

#declare radius_icosa_vertex = 0.5;
#declare radius_icosa_edge = 0.25;

#declare phi  = (sqrt(5) + 1) / 2;
#declare phi2 = phi * phi;
#declare phi3 = phi * phi2;
#declare phi4 = phi * phi3;

#declare v2   = < phi2,0    , phi3>;
#declare v4   = <0    , phi , phi3>;
#declare v6   = <-phi2,0    , phi3>;
#declare v8   = <0    ,-phi , phi3>;
#declare v11  = < phi2, phi2, phi2>;
#declare v12  = <0    , phi3, phi2>;
#declare v13  = <-phi2, phi2, phi2>;
#declare v16  = <-phi2,-phi2, phi2>;
#declare v17  = <0    ,-phi3, phi2>;
#declare v18  = < phi2,-phi2, phi2>;
#declare v20  = < phi3,0    , phi >;
#declare v23  = <-phi3,0    , phi >;
#declare v27  = < phi3, phi2,0    >;
#declare v28  = < phi , phi3,0    >;
#declare v30  = <-phi , phi3,0    >;
#declare v31  = <-phi3, phi2,0    >;
#declare v33  = <-phi3,-phi2,0    >;
#declare v34  = <-phi ,-phi3,0    >;
#declare v36  = < phi ,-phi3,0    >;
#declare v37  = < phi3,-phi2,0    >;
#declare v38  = < phi3,0    ,-phi >;
#declare v41  = <-phi3,0    ,-phi >;
#declare v45  = < phi2, phi2,-phi2>;
#declare v46  = <0    , phi3,-phi2>;
#declare v47  = <-phi2, phi2,-phi2>;
#declare v50  = <-phi2,-phi2,-phi2>;
#declare v51  = <0    ,-phi3,-phi2>;
#declare v52  = < phi2,-phi2,-phi2>;
#declare v54  = < phi2,0    ,-phi3>;
#declare v56  = <0    , phi ,-phi3>;
#declare v58  = <-phi2,0    ,-phi3>;
#declare v60  = <0    ,-phi ,-phi3>;

#declare rt_face =
 union {
  triangle { v2 , v4 , v6  } triangle {v6 , v8 , v2 }
  triangle { v2 , v11, v4  } triangle {v4 , v11, v12}
  triangle { v4 , v12, v13 } triangle {v4 , v13, v6 }
  triangle { v6 , v16, v8  } triangle {v8 , v16, v17}
  triangle { v8 , v17, v18 } triangle {v8 , v18, v2 }
  triangle { v2 , v18, v37 } triangle {v2 , v37, v20}
  triangle { v2 , v20, v27 } triangle {v2 , v27, v11}
  triangle { v11, v27, v28 } triangle {v11, v28, v12}
  triangle { v6 , v13, v31 } triangle {v6 , v31, v23}
  triangle { v6 , v23, v33 } triangle {v6 , v33, v16}
  triangle { v54, v60, v58 } triangle {v58, v56, v54}
  triangle { v54, v56, v45 } triangle {v45, v56, v46}
  triangle { v56, v58, v47 } triangle {v47, v46, v56}
  triangle { v47, v58, v41 } triangle {v41, v31, v47}
  triangle { v58, v50, v33 } triangle {v33, v41, v58}
  triangle { v58, v60, v51 } triangle {v51, v50, v58}
  triangle { v60, v54, v52 } triangle {v52, v51, v60}
  triangle { v54, v38, v37 } triangle {v37, v52, v54}
  triangle { v45, v27, v38 } triangle {v38, v54, v45}
  triangle { v20, v37, v38 } triangle {v38, v27, v20}
  triangle { v23, v31, v41 } triangle {v41, v33, v23}
  triangle { v12, v28, v46 } triangle {v46, v30, v12}
  triangle { v12, v30, v31 } triangle {v31, v13, v12}
  triangle { v31, v30, v46 } triangle {v46, v47, v31}
  triangle { v28, v27, v45 } triangle {v45, v46, v28}
  triangle { v17, v34, v51 } triangle {v51, v36, v17}
  triangle { v18, v17, v36 } triangle {v36, v37, v18}
  triangle { v37, v36, v51 } triangle {v51, v52, v37}
  triangle { v17, v16, v33 } triangle {v33, v34, v17}
  triangle { v34, v33, v50 } triangle {v50, v51, v34}
  pigment { color rgb 1 transmit 0.8 } finish { specular 1 }
 };
#declare rt_vertex =
 union {
  sphere { v2 , radius_rt_vertex }
  sphere { v4 , radius_rt_vertex }
  sphere { v6 , radius_rt_vertex }
  sphere { v8 , radius_rt_vertex }
  sphere { v11, radius_rt_vertex }
  sphere { v12, radius_rt_vertex }
  sphere { v13, radius_rt_vertex }
  sphere { v16, radius_rt_vertex }
  sphere { v17, radius_rt_vertex }
  sphere { v18, radius_rt_vertex }
  sphere { v20, radius_rt_vertex }
  sphere { v23, radius_rt_vertex }
  sphere { v27, radius_rt_vertex }
  sphere { v28, radius_rt_vertex }
  sphere { v30, radius_rt_vertex }
  sphere { v31, radius_rt_vertex }
  sphere { v33, radius_rt_vertex }
  sphere { v34, radius_rt_vertex }
  sphere { v36, radius_rt_vertex }
  sphere { v37, radius_rt_vertex }
  sphere { v38, radius_rt_vertex }
  sphere { v41, radius_rt_vertex }
  sphere { v45, radius_rt_vertex }
  sphere { v46, radius_rt_vertex }
  sphere { v47, radius_rt_vertex }
  sphere { v50, radius_rt_vertex }
  sphere { v51, radius_rt_vertex }
  sphere { v52, radius_rt_vertex }
  sphere { v54, radius_rt_vertex }
  sphere { v56, radius_rt_vertex }
  sphere { v58, radius_rt_vertex }
  sphere { v60, radius_rt_vertex }
  pigment { color rgb <0,1,1> }
 };
#declare rt_edge =
 union {
  cylinder { v2 , v4 , radius_rt_edge open }
  cylinder { v4 , v6 , radius_rt_edge open }
  cylinder { v6 , v8 , radius_rt_edge open }
  cylinder { v8 , v2 , radius_rt_edge open }
  cylinder { v2 , v11, radius_rt_edge open }
  cylinder { v11, v12, radius_rt_edge open }
  cylinder { v4 , v12, radius_rt_edge open }
  cylinder { v12, v13, radius_rt_edge open }
  cylinder { v13, v6 , radius_rt_edge open }
  cylinder { v6 , v23, radius_rt_edge open }
  cylinder { v6 , v16, radius_rt_edge open }
  cylinder { v16, v17, radius_rt_edge open }
  cylinder { v17, v8 , radius_rt_edge open }
  cylinder { v17, v18, radius_rt_edge open }
  cylinder { v2 , v18, radius_rt_edge open }
  cylinder { v2 , v20, radius_rt_edge open }
  cylinder { v20, v27, radius_rt_edge open }
  cylinder { v27, v28, radius_rt_edge open }
  cylinder { v12, v28, radius_rt_edge open }
  cylinder { v12, v30, radius_rt_edge open }
  cylinder { v13, v31, radius_rt_edge open }
  cylinder { v23, v31, radius_rt_edge open }
  cylinder { v23, v33, radius_rt_edge open }
  cylinder { v33, v16, radius_rt_edge open }
  cylinder { v18, v37, radius_rt_edge open }
  cylinder { v37, v20, radius_rt_edge open }
  cylinder { v11, v27, radius_rt_edge open }
  cylinder { v54, v56, radius_rt_edge open }
  cylinder { v56, v58, radius_rt_edge open }
  cylinder { v58, v60, radius_rt_edge open }
  cylinder { v60, v54, radius_rt_edge open }
  cylinder { v54, v45, radius_rt_edge open }
  cylinder { v45, v46, radius_rt_edge open }
  cylinder { v46, v56, radius_rt_edge open }
  cylinder { v58, v47, radius_rt_edge open }
  cylinder { v58, v41, radius_rt_edge open }
  cylinder { v58, v50, radius_rt_edge open }
  cylinder { v60, v51, radius_rt_edge open }
  cylinder { v52, v54, radius_rt_edge open }
  cylinder { v54, v38, radius_rt_edge open }
  cylinder { v38, v27, radius_rt_edge open }
  cylinder { v27, v45, radius_rt_edge open }
  cylinder { v46, v47, radius_rt_edge open }
  cylinder { v47, v31, radius_rt_edge open }
  cylinder { v31, v41, radius_rt_edge open }
  cylinder { v41, v33, radius_rt_edge open }
  cylinder { v33, v50, radius_rt_edge open }
  cylinder { v50, v51, radius_rt_edge open }
  cylinder { v51, v52, radius_rt_edge open }
  cylinder { v52, v37, radius_rt_edge open }
  cylinder { v37, v38, radius_rt_edge open }
  cylinder { v28, v46, radius_rt_edge open }
  cylinder { v30, v46, radius_rt_edge open }
  cylinder { v30, v31, radius_rt_edge open }
  cylinder { v17, v36, radius_rt_edge open }
  cylinder { v36, v51, radius_rt_edge open }
  cylinder { v51, v34, radius_rt_edge open }
  cylinder { v34, v17, radius_rt_edge open }
  cylinder { v36, v37, radius_rt_edge open }
  cylinder { v33, v34, radius_rt_edge open }
  pigment { color rgb 0.5 }
 };

#declare tetra_vertex =
 union {
  sphere { v4 , radius_tetra_vertex }
  sphere { v34, radius_tetra_vertex }
  sphere { v38, radius_tetra_vertex }
  sphere { v47, radius_tetra_vertex }
  pigment { color rgb <1,0,0> }
 };
#declare tetra_edge =
 union {
  cylinder { v4 , v34, radius_tetra_edge open }
  cylinder { v4 , v38, radius_tetra_edge open }
  cylinder { v4 , v47, radius_tetra_edge open }
  cylinder { v34, v38, radius_tetra_edge open }
  cylinder { v34, v47, radius_tetra_edge open }
  cylinder { v38, v47, radius_tetra_edge open }
  pigment { color rgb <1,0,0> }
 };

#declare cube_vertex =
 union {
  sphere { v4 , radius_cube_vertex }
  sphere { v18, radius_cube_vertex }
  sphere { v23, radius_cube_vertex }
  sphere { v28, radius_cube_vertex }
  sphere { v34, radius_cube_vertex }
  sphere { v38, radius_cube_vertex }
  sphere { v47, radius_cube_vertex }
  sphere { v60, radius_cube_vertex }
  pigment { color rgb <1,0.5,0> }
 };
#declare cube_edge =
 union {
  cylinder { v4 , v18, radius_cube_edge open }
  cylinder { v18, v38, radius_cube_edge open }
  cylinder { v38, v28, radius_cube_edge open }
  cylinder { v28, v4 , radius_cube_edge open }
  cylinder { v4 , v23, radius_cube_edge open }
  cylinder { v18, v34, radius_cube_edge open }
  cylinder { v28, v47, radius_cube_edge open }
  cylinder { v38, v60, radius_cube_edge open }
  cylinder { v23, v34, radius_cube_edge open }
  cylinder { v34, v60, radius_cube_edge open }
  cylinder { v60, v47, radius_cube_edge open }
  cylinder { v47, v23, radius_cube_edge open }
  pigment { color rgb <1,0.5,0> }
 };

/*
#declare octa_vertex =
 union {
  sphere { v7 , radius_octa_vertex }
  sphere { v10, radius_octa_vertex }
  sphere { v22, radius_octa_vertex }
  sphere { v43, radius_octa_vertex }
  sphere { v49, radius_octa_vertex }
  sphere { v55, radius_octa_vertex }
  pigment { color rgb <0,0.5,0> }
 };
#declare octa_edge =
 union {
  cylinder { v7 , v10, radius_octa_edge open }
  cylinder { v7 , v22, radius_octa_edge open }
  cylinder { v7 , v43, radius_octa_edge open }
  cylinder { v7 , v49, radius_octa_edge open }
  cylinder { v10, v22, radius_octa_edge open }
  cylinder { v10, v43, radius_octa_edge open }
  cylinder { v22, v49, radius_octa_edge open }
  cylinder { v43, v49, radius_octa_edge open }
  cylinder { v10, v55, radius_octa_edge open }
  cylinder { v22, v55, radius_octa_edge open }
  cylinder { v43, v55, radius_octa_edge open }
  cylinder { v49, v55, radius_octa_edge open }
  pigment { color rgb <0,0.5,0> }
 };
*/

#declare duodeca_vertex =
 union {
  sphere { v4 , radius_duodeca_vertex }
  sphere { v8 , radius_duodeca_vertex }
  sphere { v11, radius_duodeca_vertex }
  sphere { v13, radius_duodeca_vertex }
  sphere { v16, radius_duodeca_vertex }
  sphere { v18, radius_duodeca_vertex }
  sphere { v20, radius_duodeca_vertex }
  sphere { v23, radius_duodeca_vertex }
  sphere { v28, radius_duodeca_vertex }
  sphere { v30, radius_duodeca_vertex }
  sphere { v34, radius_duodeca_vertex }
  sphere { v36, radius_duodeca_vertex }
  sphere { v38, radius_duodeca_vertex }
  sphere { v41, radius_duodeca_vertex }
  sphere { v45, radius_duodeca_vertex }
  sphere { v47, radius_duodeca_vertex }
  sphere { v50, radius_duodeca_vertex }
  sphere { v52, radius_duodeca_vertex }
  sphere { v56, radius_duodeca_vertex }
  sphere { v60, radius_duodeca_vertex }
  pigment { color rgb <0,0,1> }
 };
#declare duodeca_edge =
 union {
  cylinder { v4 , v8 , radius_duodeca_edge open }
  cylinder { v4 , v11, radius_duodeca_edge open }
  cylinder { v4 , v13, radius_duodeca_edge open }
  cylinder { v8 , v16, radius_duodeca_edge open }
  cylinder { v8 , v18, radius_duodeca_edge open }
  cylinder { v11, v20, radius_duodeca_edge open }
  cylinder { v11, v28, radius_duodeca_edge open }
  cylinder { v13, v30, radius_duodeca_edge open }
  cylinder { v13, v23, radius_duodeca_edge open }
  cylinder { v16, v23, radius_duodeca_edge open }
  cylinder { v16, v34, radius_duodeca_edge open }
  cylinder { v18, v36, radius_duodeca_edge open }
  cylinder { v18, v20, radius_duodeca_edge open }
  cylinder { v20, v38, radius_duodeca_edge open }
  cylinder { v23, v41, radius_duodeca_edge open }
  cylinder { v28, v30, radius_duodeca_edge open }
  cylinder { v28, v45, radius_duodeca_edge open }
  cylinder { v30, v47, radius_duodeca_edge open }
  cylinder { v34, v50, radius_duodeca_edge open }
  cylinder { v34, v36, radius_duodeca_edge open }
  cylinder { v36, v52, radius_duodeca_edge open }
  cylinder { v38, v45, radius_duodeca_edge open }
  cylinder { v38, v52, radius_duodeca_edge open }
  cylinder { v41, v47, radius_duodeca_edge open }
  cylinder { v41, v50, radius_duodeca_edge open }
  cylinder { v45, v56, radius_duodeca_edge open }
  cylinder { v47, v56, radius_duodeca_edge open }
  cylinder { v50, v60, radius_duodeca_edge open }
  cylinder { v52, v60, radius_duodeca_edge open }
  cylinder { v56, v60, radius_duodeca_edge open }
  pigment { color rgb <0,0,1> }
 };

#declare icosa_vertex =
 union {
  sphere { v2 , radius_icosa_vertex }
  sphere { v6 , radius_icosa_vertex }
  sphere { v12, radius_icosa_vertex }
  sphere { v17, radius_icosa_vertex }
  sphere { v27, radius_icosa_vertex }
  sphere { v31, radius_icosa_vertex }
  sphere { v33, radius_icosa_vertex }
  sphere { v37, radius_icosa_vertex }
  sphere { v46, radius_icosa_vertex }
  sphere { v51, radius_icosa_vertex }
  sphere { v54, radius_icosa_vertex }
  sphere { v58, radius_icosa_vertex }
  pigment { color rgb <1,0,1> }
 };
#declare icosa_edge =
 union {
  cylinder { v2 , v6 , radius_icosa_edge open }
  cylinder { v2 , v12, radius_icosa_edge open }
  cylinder { v2 , v17, radius_icosa_edge open }
  cylinder { v2 , v37, radius_icosa_edge open }
  cylinder { v2 , v27, radius_icosa_edge open }
  cylinder { v6 , v12, radius_icosa_edge open }
  cylinder { v6 , v17, radius_icosa_edge open }
  cylinder { v6 , v31, radius_icosa_edge open }
  cylinder { v6 , v33, radius_icosa_edge open }
  cylinder { v12, v27, radius_icosa_edge open }
  cylinder { v12, v46, radius_icosa_edge open }
  cylinder { v12, v31, radius_icosa_edge open }
  cylinder { v17, v33, radius_icosa_edge open }
  cylinder { v17, v51, radius_icosa_edge open }
  cylinder { v17, v37, radius_icosa_edge open }
  cylinder { v27, v37, radius_icosa_edge open }
  cylinder { v27, v54, radius_icosa_edge open }
  cylinder { v27, v46, radius_icosa_edge open }
  cylinder { v31, v46, radius_icosa_edge open }
  cylinder { v31, v58, radius_icosa_edge open }
  cylinder { v31, v33, radius_icosa_edge open }
  cylinder { v33, v58, radius_icosa_edge open }
  cylinder { v33, v51, radius_icosa_edge open }
  cylinder { v37, v51, radius_icosa_edge open }
  cylinder { v37, v54, radius_icosa_edge open }
  cylinder { v46, v54, radius_icosa_edge open }
  cylinder { v46, v58, radius_icosa_edge open }
  cylinder { v51, v54, radius_icosa_edge open }
  cylinder { v51, v58, radius_icosa_edge open }
  cylinder { v54, v58, radius_icosa_edge open }
  pigment { color rgb <1,0,1> }
 };

union {
 object { rt_face }
 object { rt_edge }
 // object { rt_vertex }
 // object { tetra_edge }
 // object { tetra_vertex }
 // object { cube_edge }
 // object { cube_vertex }
 // object { octa_edge }
 // object { octa_vertex }
 // object { icosa_edge }
 // object { icosa_vertex }
 // object { duodeca_edge }
 // object { duodeca_vertex }
 // rotate <0,4*15,0>
 rotate <0,-clock,0>
}

plane { <0,-1,0>, 8 pigment { color rgb 1 } finish { ambient rgb 0.5 } }

// finish { ambient rgb <0.1,0.1,0.1> }
global_settings { assumed_gamma 0.75 }

light_source { < 0.1,20, 0.1> color rgb 0.25 parallel point_at 0 }
light_source { < 0.1,20,-0.1> color rgb 0.25 parallel point_at 0 }
light_source { <-0.1,20, 0.1> color rgb 0.25 parallel point_at 0 }
light_source { <-0.1,20,-0.1> color rgb 0.25 parallel point_at 0 }

camera {
 orthographic
 location <0,9,12>
 look_at  <0,-3,0>
}

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current20:34, 17 July 2012Thumbnail for version as of 20:34, 17 July 2012192 × 256 (106 KB)Cmglee{{Information |Description ={{en|1=Animated semitransparent model of a rhombic tricontahedron rendered in POV-Ray.<ref><pre>#declare radius_rt_vertex = 0.1; #declare radius_rt_edge = 0.05; #declare radius_tetra_vertex = 0.5; #declare radius_tetra_e...
No pages on the English Wikipedia use this file (pages on other projects are not listed).
Retrieved from "https://en.wikipedia.org/wiki/File:Rhombic_tricontahedron.gif"