File:Lissajous Square Knot.png

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Summary

Description
English: A Lissajous square knot.
Date
Source Own work
Author Jim.belk

Licensing

Public domain 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

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, and then cropped and compressed using pngcrush.

#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 = 0.04;
#declare num_steps = 36;
#declare step_size = 1/num_steps;

sphere_sweep
  {
  cubic_spline num_steps+3,
  #declare N = -1;
  #while(N <= num_steps + 1)
    #declare theta = 2 * pi * N * step_size;
    < 0.8*cos(3*theta + 0.7), 0.8*cos(5*theta + 1) + 0.075, 0.3*cos(7*theta)+0.06>, r_tube
    #declare N = N + 1;                             
  #end
  pigment { color rgb <0,0.25,1> }
  finish          
    {
    ambient 0.15
    diffuse 0.85
    brilliance 2
    phong 0.25
    phong_size 5
    }
  }

plane
  {
  <0,0,-1>, -0.4
  pigment { color White }
  finish
    {
    ambient 0.35
    diffuse 0.65
    }
  }

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depicts

26 March 2010

File history

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Date/TimeThumbnailDimensionsUserComment
current17:39, 27 March 2010Thumbnail for version as of 17:39, 27 March 20101,650 × 1,740 (866 KB)Jim.belk{{Information |Description={{en|1=A Lissajous square knot.}} |Source={{own}} |Author=Jim.belk |Date=2010-03-26 |Permission= |other_versions= }} Category:Knots (knot theory) Category:Lissajous curves [[Category:Images including s
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