File:One-Twist Trefoil.png

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Original file(1,720 × 1,580 pixels, file size: 545 KB, MIME type: image/png)

 
This image was created with POV-Ray.

Summary

Description
English: An alternative drawing of the trefoil knot.
Date
Source Own work
Author Jim.belk
Other versions For a pseudo-Celtic version of this, see File:Trefoil-non-3-symm.svg

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 = 0.07;  // 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

25 March 2010

File history

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Date/TimeThumbnailDimensionsUserComment
current18:57, 27 March 2010Thumbnail for version as of 18:57, 27 March 20101,720 × 1,580 (545 KB)Jim.belkUsed a thinner tube.
22:36, 25 March 2010Thumbnail for version as of 22:36, 25 March 20101,750 × 1,620 (534 KB)Jim.belk{{Information |Description={{en|1=An alternative drawing of the trefoil knot.}} |Source={{own}} |Author=Jim.belk |Date=2010-03-25 |Permission= |other_versions= }} Category:Trefoil knots [[Category:Images including source code in the
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