File:Blue Figure-Eight Knot Animated.gif

 

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]

Knot.pov[edit]

<syntaxhighlight lang="pov"> //https://en.wikipedia.org/wiki/File:Blue_Figure-Eight_Knot.png

1. 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
 }

1. declare r_tube = 0.08; // thickness (radius) of tube
2. declare num_steps = 48; // number of spline points
3. declare step_size = 1/num_steps;

sphere_sweep

 {
 cubic_spline 72,
 <-0.743926,-0.323044,-0.0374538>, r_tube
 <-0.712114,-0.43569,0.0298152>, r_tube
 <-0.657593,-0.539064,0.0973434>, r_tube
 <-0.580001,-0.628497,0.162174>, r_tube
 <-0.480129,-0.698632,0.220002>, r_tube
 <-0.361141,-0.743997,0.265224>, r_tube
 <-0.229443,-0.759909,0.291525>, r_tube
 <-0.0949831,-0.743633,0.292938>, r_tube
 <0.0290111,-0.695571,0.265328>, r_tube
 <0.127664,-0.620327,0.208148>, r_tube
 <0.187943,-0.526887,0.125706>, r_tube
 <0.202792,-0.42621,0.0272863>, r_tube
 <0.17111,-0.32591,-0.0709779>, r_tube
 <0.0972916,-0.227153,-0.144044>, r_tube
 <-0.00303469,-0.130199,-0.167725>, r_tube
 <-0.105695,-0.0395859,-0.134719>, r_tube
 <-0.192521,0.0426878,-0.0584242>, r_tube
 <-0.258908,0.125519,0.0364681>, r_tube
 <-0.306283,0.222655,0.126588>, r_tube
 <-0.332389,0.339841,0.196062>, r_tube
 <-0.332078,0.471357,0.236057>, r_tube
 <-0.302211,0.604663,0.243255>, r_tube
 <-0.243592,0.725428,0.218848>, r_tube
 <-0.160735,0.820618,0.167595>, r_tube
 <-0.0609402,0.880171,0.0968376>, r_tube
 <0.0467134,0.897821,0.0156533>, r_tube
 <0.152292,0.871534,-0.0658683>, r_tube
 <0.245965,0.803746,-0.137469>, r_tube
 <0.31894,0.701332,-0.189551>, r_tube
 <0.364616,0.575224,-0.214088>, r_tube
 <0.379764,0.439493,-0.205788>, r_tube
 <0.365485,0.30926,-0.16329>, r_tube
 <0.327266,0.196744,-0.0903403>, r_tube
 <0.27163,0.10534,0.00298281>, r_tube
 <0.200056,0.0254783,0.0984198>, r_tube
 <0.110533,-0.0587019,0.170319>, r_tube
 <0.00963576,-0.154385,0.19444>, r_tube
 <-0.0823127,-0.256527,0.160722>, r_tube
 <-0.141554,-0.357878,0.0795114>, r_tube
 <-0.154315,-0.455221,-0.0247574>, r_tube
 <-0.118171,-0.545017,-0.12782>, r_tube
 <-0.0372333,-0.619017,-0.213077>, r_tube
 <0.0777866,-0.667792,-0.27036>, r_tube
 <0.211105,-0.685624,-0.295104>, r_tube
 <0.346655,-0.671631,-0.288075>, r_tube
 <0.471388,-0.628678,-0.253863>, r_tube
 <0.576552,-0.561812,-0.199031>, r_tube
 <0.657697,-0.476737,-0.130543>, r_tube
 <0.713605,-0.378719,-0.0546503>, r_tube
 <0.744743,-0.271947,0.0235513>, r_tube
 <0.751811,-0.159612,0.0998334>, r_tube
 <0.73477,-0.0444363,0.170189>, r_tube
 <0.692907,0.0705058,0.230027>, r_tube
 <0.625781,0.18087,0.273654>, r_tube
 <0.534857,0.280625,0.294572>, r_tube
 <0.425349,0.362575,0.286687>, r_tube
 <0.306944,0.420442,0.246406>, r_tube
 <0.19151,0.452695,0.17491>, r_tube
 <0.0866572,0.465806,0.0794595>, r_tube
 <-0.0108419,0.470164,-0.0267027>, r_tube
 <-0.112128,0.467972,-0.127405>, r_tube
 <-0.224385,0.450555,-0.208965>, r_tube
 <-0.344022,0.409211,-0.263201>, r_tube
 <-0.460559,0.342175,-0.287556>, r_tube
 <-0.563557,0.253287,-0.284262>, r_tube
 <-0.646168,0.148681,-0.25848>, r_tube
 <-0.705409,0.0343619,-0.216228>, r_tube
 <-0.740931,-0.084795,-0.162849>, r_tube
 <-0.753536,-0.204989,-0.102349>, r_tube
 <-0.743926,-0.323044,-0.0374538>, r_tube
 <-0.712114,-0.43569,0.0298152>, r_tube
 <-0.657593,-0.539064,0.0973434>, r_tube
 pigment { color rgb <0,0.25,1> }
 finish          
   {
   ambient 0.15
   diffuse 0.85
   brilliance 2
   phong 0.25
   phong_size 7
   }
 rotate <0,360*clock,0>
 }

plane

 {
 <0,0,-1>, -2.38
 pigment { color White }
 finish
   {
   ambient 0.35
   diffuse 0.65
   }
 }

</source>

Assembly.inc[edit]

;http://www.f-lohmueller.de/pov_tut/animate/anim001d.htm
Antialias=Off
Antialias_Threshold=0.1
Antialias_Depth=2

Input_File_Name="knot.pov"

Initial_Frame=1
Final_Frame=36
Initial_Clock=0
Final_Clock=1

Cyclic_Animation=on
Pause_when_Done=off

build.sh[edit]

povray Assembly.inc +H480 +W480 +UA

convert -dispose previous -delay 10 -loop 0 *.png myimage.gif
firefox myimage.gif