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File:Blue Cinquefoil Knot.png

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Original file (1,717 × 1,774 pixels, file size: 557 KB, MIME type: image/png)

 
This image was created with POV-Ray.

Summary

Description
English: A cinquefoil 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 = 0.075;  // thickness (radius) of tube
#declare num_steps = 40;  // number of spline points
#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;
    <0.3*( (7/3)*sin(2*theta)-(2/3)*sin(3*theta) ), 0.3*( (7/3)*cos(2*theta)+(2/3)*cos(3*theta) ), 0.3*sin(5*theta)>, r_tube
    /* uses a hypotrochoid */
    #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>, -0.375
  pigment { color White }
  finish
    {
    ambient 0.35
    diffuse 0.65
    }
  }

Captions

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depicts

21 March 2010

image/png

fcdbfc5ab91fd4f4f8c4ff41d682a5a8830fda7e

570,737 byte

1,774 pixel

1,717 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current23:27, 22 September 2011Thumbnail for version as of 23:27, 22 September 20111,717 × 1,774 (557 KB)AnonMoostrimming margins, increasing PNG compression
19:30, 21 March 2010Thumbnail for version as of 19:30, 21 March 20101,800 × 1,800 (1,009 KB)Jim.belk{{Information |Description={{en|1=A cinquefoil 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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