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File:Rhombic tricontahedron.gif

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
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  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>
}

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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...
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