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File:Blue Three-Twist Knot.png

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Original file (1,655 × 1,800 pixels, file size: 593 KB, MIME type: image/png)

 
This image was created with POV-Ray.

Summary

Description
English: A three-twist (5_2) 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.

#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 84,
  <-0.0796294,-0.651926,-0.269509>, r_tube
  <0.0311588,-0.715569,-0.284025>, r_tube
  <0.152513,-0.755338,-0.272751>, r_tube
  <0.276019,-0.767807,-0.241868>, r_tube
  <0.395076,-0.752004,-0.198568>, r_tube
  <0.504591,-0.709125,-0.149468>, r_tube
  <0.600744,-0.642279,-0.0994481>, r_tube
  <0.680781,-0.555956,-0.0509775>, r_tube
  <0.742862,-0.455156,-0.00412125>, r_tube
  <0.785715,-0.34467,0.0426169>, r_tube
  <0.808159,-0.228842,0.09093>, r_tube
  <0.80892,-0.111518,0.141251>, r_tube
  <0.786726,0.0039825,0.191638>, r_tube
  <0.740736,0.114731,0.237379>, r_tube
  <0.671331,0.217907,0.271176>, r_tube
  <0.581411,0.310228,0.284104>, r_tube
  <0.477855,0.387902,0.267606>, r_tube
  <0.372068,0.448487,0.216405>, r_tube
  <0.277318,0.49533,0.131893>, r_tube
  <0.201298,0.54174,0.0252>, r_tube
  <0.137419,0.604714,-0.082215>, r_tube
  <0.0673969,0.688583,-0.165743>, r_tube
  <-0.0225488,0.779499,-0.208451>, r_tube
  <-0.131814,0.855926,-0.205236>, r_tube
  <-0.249165,0.899567,-0.161096>, r_tube
  <-0.359638,0.9,-0.0879638>, r_tube
  <-0.449256,0.855231,-0.001365>, r_tube
  <-0.50757,0.770614,0.0822281>, r_tube
  <-0.529108,0.657227,0.147499>, r_tube
  <-0.514172,0.529901,0.182201>, r_tube
  <-0.468891,0.404689,0.178986>, r_tube
  <-0.403922,0.295331,0.137248>, r_tube
  <-0.330501,0.20826,0.0646144>, r_tube
  <-0.253969,0.137214,-0.0230475>, r_tube
  <-0.171846,0.0652894,-0.103924>, r_tube
  <-0.0826613,-0.0210994,-0.155361>, r_tube
  <0.00522375,-0.121939,-0.161228>, r_tube
  <0.0754163,-0.228159,-0.118742>, r_tube
  <0.111694,-0.331217,-0.0400706>, r_tube
  <0.105525,-0.427069,0.0539044>, r_tube
  <0.05691,-0.512854,0.143194>, r_tube
  <-0.0285731,-0.583269,0.213872>, r_tube
  <-0.140963,-0.632016,0.258143>, r_tube
  <-0.267645,-0.654683,0.273591>, r_tube
  <-0.39627,-0.649629,0.262172>, r_tube
  <-0.516587,-0.617591,0.228651>, r_tube
  <-0.621049,-0.561062,0.179051>, r_tube
  <-0.70476,-0.483834,0.119438>, r_tube
  <-0.765135,-0.390489,0.0550725>, r_tube
  <-0.801386,-0.285857,-0.0100144>, r_tube
  <-0.813803,-0.174491,-0.0729225>, r_tube
  <-0.803119,-0.0603169,-0.131276>, r_tube
  <-0.770044,0.0533587,-0.182319>, r_tube
  <-0.715247,0.163517,-0.222062>, r_tube
  <-0.640054,0.266863,-0.244781>, r_tube
  <-0.547943,0.359421,-0.243443>, r_tube
  <-0.446263,0.437252,-0.211641>, r_tube
  <-0.346198,0.499871,-0.147066>, r_tube
  <-0.257959,0.555849,-0.0561356>, r_tube
  <-0.181073,0.62091,0.0422363>, r_tube
  <-0.101102,0.701642,0.122076>, r_tube
  <-0.00322875,0.785498,0.164154>, r_tube
  <0.113413,0.85065,0.162842>, r_tube
  <0.237064,0.879079,0.123638>, r_tube
  <0.351501,0.86199,0.0589706>, r_tube
  <0.441866,0.799896,-0.01554>, r_tube
  <0.497726,0.700828,-0.0839475>, r_tube
  <0.514474,0.578031,-0.132077>, r_tube
  <0.493933,0.44745,-0.149297>, r_tube
  <0.443901,0.324876,-0.130266>, r_tube
  <0.375769,0.222199,-0.0766369>, r_tube
  <0.299171,0.14295,0.0018244>, r_tube
  <0.215723,0.07932,0.0879638>, r_tube
  <0.120645,0.0167794,0.160204>, r_tube
  <0.0138075,-0.0543319,0.197689>, r_tube
  <-0.0935419,-0.13341,0.187189>, r_tube
  <-0.183015,-0.215546,0.129189>, r_tube
  <-0.238731,-0.299376,0.0386925>, r_tube
  <-0.254323,-0.387274,-0.0622519>, r_tube
  <-0.230357,-0.479398,-0.154586>, r_tube
  <-0.169969,-0.570459,-0.225908>, r_tube
  <-0.0796294,-0.651926,-0.269509>, r_tube
  <0.0311588,-0.715569,-0.284025>, r_tube
  <0.152513,-0.755338,-0.272751>, 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
    }
  }

plane
  {
  <0,0,-1>, -0.36
  pigment { color White }
  finish
    {
    ambient 0.35
    diffuse 0.65
    }
  }

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depicts

21 March 2010

image/png

23dabecb7e2e7dbf410fcec422e225c105d5e8cf

606,895 byte

1,800 pixel

1,655 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current23:29, 22 March 2010Thumbnail for version as of 23:29, 22 March 20101,655 × 1,800 (593 KB)AnonMooscropping left and right margins, increasing PNG compression
20:33, 21 March 2010Thumbnail for version as of 20:33, 21 March 20101,800 × 1,800 (1.05 MB)Jim.belk{{Information |Description={{en|1=A three-twist (5_2) knot.}} |Source={{own}} |Author=Jim.belk |Date=2010-03-21 |Permission= |other_versions= }} Category:Knots (knot theory) [[Category:Images including source code in their descripti

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