File:Blue Figure-Eight Knot.png

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This image was created with POV-Ray.

Summary

Description
English: A figure-eight knot.
Date
Source Own work
Author Jim.belk
Other versions

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.

#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 = 0.08;  // thickness (radius) of tube
#declare num_steps = 48;  // number of spline points
#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
    }
  }

plane
  {
  <0,0,-1>, -0.38
  pigment { color White }
  finish
    {
    ambient 0.35
    diffuse 0.65
    }
  }

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21 March 2010

image/png

9d1153128f3d811ee4266a8a9b0989611bd8cd95

550,216 byte

1,800 pixel

1,584 pixel

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Date/TimeThumbnailDimensionsUserComment
current23:43, 21 March 2010Thumbnail for version as of 23:43, 21 March 20101,584 × 1,800 (537 KB)AnonMooscropping blank left and right margins, increasing PNG compression
19:00, 21 March 2010Thumbnail for version as of 19:00, 21 March 20101,800 × 1,800 (976 KB)Jim.belk{{Information |Description={{en|1=A figure-eight knot.}} |Source={{own}} |Author=Jim.belk |Date=2010-03-21 |Permission= |other_versions= }} Category:Knots (knot theory) Category:Images including source code in their description

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