File:3D Borromean Rings.png

 

This image was created with POV-Ray.

Summary[edit]

Licensing[edit]

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source[edit]

This image was created using POV-Ray for Windows, version 3.6. The image was rendered to an 1800 x 1800 square, using 0.3 anti-aliasing.

#include "colors.inc"

background { color White }

global_settings { assumed_gamma 1.0}

camera
  {
  location <0, 0, -25>
  right <1,0,0> up <0,1,0>
  look_at  <0, 0, 0>
  angle 5
  }


light_source
  {
  <0, 20, -50>
  color White
  area_light <5, 0, 0>, <0, 5, 0>, 10, 10  /* very slow, decrease 10 to 2 for experiments */
  adaptive 3
  }


#declare r_tube = 0.07;  // thickness (radius) of tube

sphere_sweep
  {
  cubic_spline 41,
  <0.529661,-0.594778,0.122625>, r_tube
  <0.445903,-0.655338,0.0846814>, r_tube
  <0.35209,-0.701296,0.0501237>, r_tube
  <0.251313,-0.733518,0.0200119>, r_tube
  <0.146283,-0.752852,-0.00634747>, r_tube
  <0.0392759,-0.759694,-0.0309223>, r_tube
  <-0.0676501,-0.753719,-0.056109>, r_tube
  <-0.172272,-0.733906,-0.0838346>, r_tube
  <-0.271917,-0.698838,-0.114803>, r_tube
  <-0.363446,-0.647251,-0.147954>, r_tube
  <-0.443502,-0.578676,-0.180421>, r_tube
  <-0.508876,-0.494021,-0.207943>, r_tube
  <-0.556924,-0.395976,-0.225563>, r_tube
  <-0.585965,-0.289101,-0.2285>, r_tube
  <-0.595581,-0.179575,-0.213011>, r_tube
  <-0.586903,-0.0743825,-0.17725>, r_tube
  <-0.562491,0.0201541,-0.121931>, r_tube
  <-0.525252,0.100497,-0.0507759>, r_tube
  <-0.475501,0.167685,0.0286079>, r_tube
  <-0.408139,0.22591,0.102618>, r_tube
  <-0.317977,0.277313,0.151819>, r_tube
  <-0.211347,0.319366,0.158192>, r_tube
  <-0.106807,0.348753,0.115548>, r_tube
  <-0.0187962,0.36461,0.0349709>, r_tube
  <0.061434,0.367495,-0.0575569>, r_tube
  <0.155338,0.358991,-0.130741>, r_tube
  <0.265874,0.340076,-0.160751>, r_tube
  <0.375064,0.3108,-0.140428>, r_tube
  <0.466052,0.272398,-0.0804492>, r_tube
  <0.536932,0.224982,-0.00140191>, r_tube
  <0.59484,0.165105,0.0778902>, r_tube
  <0.64346,0.0888005,0.14568>, r_tube
  <0.680771,-0.00403318,0.195503>, r_tube
  <0.702868,-0.109052,0.224289>, r_tube
  <0.70662,-0.219517,0.231947>, r_tube
  <0.690499,-0.32838,0.220944>, r_tube
  <0.654575,-0.429708,0.195574>, r_tube
  <0.600194,-0.519299,0.161057>, r_tube
  <0.529661,-0.594778,0.122625>, r_tube
  <0.445903,-0.655338,0.0846814>, r_tube
  <0.35209,-0.701296,0.0501237>, r_tube
  pigment { color rgb <0,0.25,1> }
  finish          
    {
    ambient 0.15
    diffuse 0.85
    brilliance 2
    phong 0.25
    phong_size 7.5
    }
  }

sphere_sweep
  {
  cubic_spline 37,
  <-0.719888,0.645829,-0.0218507>, r_tube
  <-0.768781,0.559654,0.0298885>, r_tube
  <-0.803145,0.466606,0.0815558>, r_tube
  <-0.821115,0.368063,0.131539>, r_tube
  <-0.820313,0.265747,0.177279>, r_tube
  <-0.798686,0.162322,0.21512>, r_tube
  <-0.755594,0.0617437,0.240719>, r_tube
  <-0.692704,-0.031097,0.249934>, r_tube
  <-0.614194,-0.111318,0.239755>, r_tube
  <-0.526127,-0.175046,0.208994>, r_tube
  <-0.435034,-0.220129,0.15866>, r_tube
  <-0.345886,-0.246089,0.0922207>, r_tube
  <-0.25981,-0.252691,0.016062>, r_tube
  <-0.173545,-0.237613,-0.0593672>, r_tube
  <-0.0838838,-0.196926,-0.11915>, r_tube
  <0.00608349,-0.130973,-0.147128>, r_tube
  <0.0872684,-0.0493372,-0.132625>, r_tube
  <0.151474,0.033352,-0.0769409>, r_tube
  <0.197016,0.11242,0.00358651>, r_tube
  <0.228921,0.200721,0.080574>, r_tube
  <0.251314,0.308244,0.125269>, r_tube
  <0.260826,0.424649,0.122324>, r_tube
  <0.25235,0.531298,0.0755388>, r_tube
  <0.225345,0.619959,0.00303709>, r_tube
  <0.180497,0.695172,-0.0744728>, r_tube
  <0.116588,0.762215,-0.142624>, r_tube
  <0.0334304,0.82017,-0.193823>, r_tube
  <-0.0656166,0.864496,-0.224638>, r_tube
  <-0.1745,0.890627,-0.234591>, r_tube
  <-0.286211,0.895797,-0.225511>, r_tube
  <-0.394284,0.879547,-0.200813>, r_tube
  <-0.493862,0.843436,-0.164602>, r_tube
  <-0.582028,0.790328,-0.120799>, r_tube
  <-0.657502,0.723483,-0.0725182>, r_tube
  <-0.719888,0.645829,-0.0218507>, r_tube
  <-0.768781,0.559654,0.0298885>, r_tube
  <-0.803145,0.466606,0.0815558>, r_tube
  pigment { color rgb <1,0,0> }
  finish          
    {
    ambient 0.15
    diffuse 0.85
    brilliance 2
    phong 0.25
    phong_size 7.5
    }
  }

sphere_sweep
  {
  cubic_spline 36,
  <0.332229,-0.200194,0.0319429>, r_tube
  <0.240986,-0.18778,0.102142>, r_tube
  <0.142273,-0.149526,0.14784>, r_tube
  <0.0437829,-0.0892733,0.154898>, r_tube
  <-0.0426289,-0.0188166,0.118191>, r_tube
  <-0.109415,0.0509438,0.0463592>, r_tube
  <-0.158879,0.124444,-0.0379293>, r_tube
  <-0.198878,0.215876,-0.105205>, r_tube
  <-0.230049,0.326332,-0.13237>, r_tube
  <-0.244534,0.440467,-0.112495>, r_tube
  <-0.237081,0.542413,-0.0554059>, r_tube
  <-0.208334,0.628128,0.0197617>, r_tube
  <-0.159532,0.702685,0.0948605>, r_tube
  <-0.090494,0.769488,0.158027>, r_tube
  <-0.00252631,0.826517,0.202712>, r_tube
  <0.10003,0.869139,0.225845>, r_tube
  <0.210623,0.893114,0.227186>, r_tube
  <0.322076,0.896157,0.208867>, r_tube
  <0.428165,0.878406,0.174704>, r_tube
  <0.524644,0.841905,0.129229>, r_tube
  <0.609388,0.789578,0.0766789>, r_tube
  <0.681658,0.724211,0.020415>, r_tube
  <0.740974,0.647814,-0.0370009>, r_tube
  <0.786217,0.561583,-0.0933421>, r_tube
  <0.815325,0.466454,-0.146038>, r_tube
  <0.825623,0.363958,-0.191694>, r_tube
  <0.814766,0.257096,-0.22614>, r_tube
  <0.782005,0.150697,-0.244984>, r_tube
  <0.729085,0.0507977,-0.244631>, r_tube
  <0.660339,-0.0366285,-0.223175>, r_tube
  <0.581819,-0.107008,-0.180863>, r_tube
  <0.499516,-0.158036,-0.120275>, r_tube
  <0.416827,-0.18931,-0.0465171>, r_tube
  <0.332229,-0.200194,0.0319429>, r_tube
  <0.240986,-0.18778,0.102142>, r_tube
  <0.142273,-0.149526,0.14784>, r_tube
  pigment { color rgb <0,0.75,0> }
  finish          
    {
    ambient 0.15
    diffuse 0.85
    brilliance 2
    phong 0.25
    phong_size 7.5
    }
  }

plane
  {
  <0,0,-1>, -0.33
  pigment { color White }
  finish
    {
    ambient 0.35
    diffuse 0.65
    }
  }