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Quaternion-sqr-cube-slice-povray.pov

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  1. // POV-Ray 3.7 Scene File " ... .pov"
  2. // author:  ...  alij
  3. // date:    ...  
  4.  
  5. //--------------------------------------------------------------------------
  6.  
  7. //Sources      
  8. //Information on Quaternion Julia Fractals and my initial starting point using his q.pov
  9. //file
  10. //http://paulbourke.net/fractals/quatjulia/
  11.  
  12. //PovRay Julia Fractal help - http://www.povray.org/documentation/view/3.7.0/280/  
  13.  
  14. //and http://www.math.technion.ac.il/Site/computing/docs/povray/pov243.html more detailed
  15. //information on PovRay Julia Fractal funtions
  16.  
  17. //http://www.youtube.com/watch?v=nhhBWge1KBk  - video by bdchambers79
  18. //showing coordinate animation Cycling through the Julia parameters.
  19. //May be useful for pinning down shape you want to use.  
  20.  
  21. //In current state this file is to render two groups of Julia Fractals side by side
  22. //sliced to reveal structure at different iterations and one group using the
  23. //"sqr" cacluation and the other "cube" - to compare difference while using the same
  24. //4D_Julia_Parameters  
  25.  
  26. //Excuse my messy code style hopefully you will be able to get this to run on your system
  27. //without too many issues - I think the Povray include files are all standard. you may need to
  28. //comment out the hdri section or add your own hdri skymap.
  29.  
  30. //--------------------------------------------------------------------------
  31. #version 3.7;
  32. global_settings{ assumed_gamma 1.0 }
  33. #default{ finish{ ambient 0.1 diffuse 0.9 }}
  34. //--------------------------------------------------------------------------
  35. #include "colors.inc"
  36. #include "textures.inc"
  37. #include "glass.inc"
  38. #include "metals.inc"
  39. #include "golds.inc"
  40. #include "stones.inc"
  41. #include "woods.inc"
  42. #include "shapes.inc"
  43. #include "shapes2.inc"
  44. #include "functions.inc"
  45. #include "math.inc"
  46. #include "transforms.inc"        
  47.  
  48. // Quaternion variables - 4D_Julia_Parameter
  49. // Rotation of the two groups - and positioning.
  50. // Iteration count is in the code for each instance
  51.  
  52. #declare ConstC = <-0.187,0.74,-0.03,-0.752>;  
  53. #declare ConstD = <-0.087,0.84,-0.03,-0.452>;
  54. #declare ConstE = <-0.01,0.84,-0.40,-0.5965>;
  55. #declare SLICEDIST = 0.01;
  56. //rotate groups
  57. #declare ConstROT1 = <0,0,0>;
  58. #declare ConstROT2 = <90,90,90>;  
  59. //translate groups   // Note you may need to adjust the clipping planes in relation to any tranformations        
  60. #declare ConstTRANS1 = <0,1.1,0.0>;    
  61. #declare ConstTRANS2 = <-0,1.1,-1.4>;
  62. //scale groups
  63. #declare ConstScale1 =  <-0.85,0.85,0.85>;
  64. #declare ConstScale2 =  <-0.75,0.75,0.75>;
  65. //////////////////////////////////////////////
  66.  
  67.  
  68. #declare Use_Radiosity = 1;
  69. #declare Soft_Shadows = 0;
  70. global_settings {
  71.  
  72. #ifdef (Use_Radiosity)
  73.       radiosity { }
  74. #end    }    
  75.  
  76.  
  77. ///////////////////
  78. // comment out hdri - or suppy your own .hdr image // source http://www.pauldebevec.com/Probes/
  79.  
  80. //hdri environment -------------------------
  81. sky_sphere{
  82.  pigment{
  83.    image_map{ hdr "/home/ali/POV-Ray/hdri/rnl_probe.hdr"
  84.               gamma 0.2
  85.               map_type 0 interpolate 2}
  86.       }// end pigment
  87.       rotate <0,40,0>
  88. }
  89.  // end sky_sphere with hdr image -----------
  90. /////////////////
  91. /* sky_sphere {
  92.     pigment {
  93.     gradient y
  94.    color_map {
  95. [0 color SlateBlue ]
  96. [1 color Silver] }
  97. scale 1
  98. translate -2
  99. }
  100. }
  101. */
  102.  
  103. ////Comment in-out which texture styly you want - metal slow - color fast//////
  104. #declare texture_1 = texture { T_Brass_1D }  
  105. #declare texture_2 = texture { T_Silver_1A }
  106. /*#declare texture_1 =
  107. texture {
  108.     pigment { color Red }
  109.    }  
  110.    
  111. #declare texture_2 =
  112. texture {
  113.     pigment { color Green }
  114.    }      */  
  115. //--------------------------------------------------------------------------
  116. // camera ------------------------------------------------------------------
  117. #declare Camera_0 = camera { angle 75               // front view
  118.                             location  <2.5 ,1 ,-1>
  119.                             right     x*image_width/image_height
  120.                             look_at   <-30 , 2 , 4>}
  121. #declare Camera_1 = camera {/*ultra_wide_angle*/ angle 90   // diagonal view
  122.                             location  <2.0 , 0. ,-0.2>
  123.                             right     x*image_width/image_height
  124.                             look_at   <0.0 , 1.0 , -1.0>
  125.                            
  126.                             }
  127. #declare Camera_2 = camera {perspective  angle 75  //right side view
  128.                             location  <3.0 , 1.0 , 0.0>
  129.                             right     x*image_width/image_height
  130.                             look_at   <0.0 , 1.0 , 0.0>}
  131.                            
  132. #declare Camera_3 = camera {/*ultra_wide_angle*/ angle 90        // top view
  133.                             location  <0.0 , 5.0 ,-0.001>
  134.                             right     x*image_width/image_height
  135.                             look_at   <0.0 , 1.0 , 0.0>}
  136. camera{Camera_0}
  137. // sun ----------------------------------------------------------------------
  138. light_source{
  139.  < 500,700,-700>  color White
  140.  area_light <8, 0, 0>, <0, 8, 0>, 17, 17
  141.   adaptive 1
  142.   jitter
  143.   fade_distance 1.10
  144.   fade_power 1.10
  145. //shadowless
  146.     }
  147. // sky ----------------------------------------------------------------------
  148. //background {
  149. //   color Blue   }
  150.  
  151. //sky_sphere {
  152.  //    pigment {
  153.  //   gradient y
  154.  //     color_map {
  155.   //     [0 color CornflowerBlue]
  156.   //     [1 color Silver]
  157.   //      }
  158.   //   scale 2
  159.   //   translate -2
  160.   //      }
  161.   //      }
  162. // ground -------------------------------------------------------------------
  163. /*plane{ <0,1,0>, 0
  164. //texture{ Polished_Chrome
  165. //               normal{ bumps 0.25 scale <0.25,0.25,0.25>*0.5 turbulence 0.04 }
  166. //            finish{ reflection 0.10 }}}
  167. finish{ reflection 0.0 }
  168. pigment { color White }}
  169.   // end of plane    */
  170. //---------------------------------------------------------------------------
  171. //---------------------------- objects in scene ----------------------------
  172. //---------------------------------------------------------------------------
  173. // THIS SECTION - sqr
  174.  julia_fractal {
  175.    ConstE
  176.   quaternion
  177.   sqr
  178.   max_iteration 4
  179.   precision 900
  180.   slice <0,0,0,1> SLICEDIST
  181.   texture { texture_1 }  
  182.   scale ConstScale1
  183.   rotate ConstROT1
  184.   translate ConstTRANS1
  185.    
  186.  clipped_by { plane { <0, 1, 0>, 0.25
  187.  rotate<90,210,1>
  188.  scale<-0.1,0.1,0.1>  
  189.  translate<0.5,0,0>
  190.   }
  191.   }
  192.   }
  193.        
  194.   julia_fractal {
  195.   ConstE
  196.   quaternion
  197.   sqr
  198.   max_iteration 5
  199.   precision 900
  200.   slice <0,0,0,1> SLICEDIST
  201.   texture { texture_2 }  
  202.   scale ConstScale1
  203.   rotate ConstROT1
  204.   translate ConstTRANS1    
  205.   clipped_by { plane { <0, 1, 0>, 0.25
  206.   rotate<90,210,1>
  207.   scale<-0.1,0.1,0.1>  
  208.   translate<0.5,0,0>
  209.   }
  210.   }
  211.   }
  212.  
  213.   julia_fractal {
  214.   ConstE
  215.   quaternion
  216.   sqr
  217.   max_iteration 6
  218.   precision 900
  219.   slice <0,0,0,1> SLICEDIST
  220.   texture { texture_1 }  
  221.   scale ConstScale1
  222.   rotate ConstROT1
  223.   translate ConstTRANS1    
  224.   clipped_by { plane { <0, 1, 0>, 0.25
  225.   rotate<90,210,1>
  226.   scale<-0.1,0.1,0.1>  
  227.   translate<0.5,0,0>
  228.   }
  229.   }
  230.   }
  231.   julia_fractal {
  232.   ConstE
  233.   quaternion
  234.   sqr
  235.   max_iteration 7
  236.   precision 900
  237.   slice <0,0,0,1> SLICEDIST
  238.   texture { texture_2 }  
  239.   scale ConstScale1
  240.   rotate ConstROT1
  241.   translate ConstTRANS1  
  242.   clipped_by { plane { <0, 1, 0>, 0.25
  243.   rotate<90,210,1>
  244.   scale<-0.1,0.1,0.1>  
  245.   translate<0.5,0,0>
  246.   }
  247.   }
  248.   }  
  249.  
  250.   julia_fractal {
  251.   ConstE
  252.   quaternion
  253.   sqr
  254.   max_iteration 8
  255.   precision 900
  256.   slice <0,0,0,1> SLICEDIST
  257.   texture { texture_1 }  
  258.   scale ConstScale1
  259.   rotate ConstROT1
  260.   translate ConstTRANS1
  261.   clipped_by { plane { <0, 1, 0>, 0.25
  262.   rotate<90,210,1>
  263.   scale<-0.1,0.1,0.1>  
  264.   translate<0.5,0,0>
  265.   }
  266.   }
  267.   }
  268.  
  269.   julia_fractal {
  270.   ConstE
  271.   quaternion
  272.   sqr
  273.   max_iteration 9
  274.   precision 900
  275.   slice <0,0,0,1> SLICEDIST
  276.   texture { texture_2 }  
  277.   scale ConstScale1
  278.   rotate ConstROT1
  279.   translate ConstTRANS1
  280.   clipped_by { plane { <0, 1, 0>, 0.25
  281.   rotate<90,210,1>
  282.   scale<-0.1,0.1,0.1>  
  283.   translate<0.5,0,0>
  284.   }
  285.   }
  286.   }  
  287.  
  288.   julia_fractal {
  289.   ConstE
  290.   quaternion
  291.   sqr
  292.   max_iteration 10
  293.   precision 900
  294.   slice <0,0,0,1> SLICEDIST
  295.   texture { texture_1 }
  296.   scale ConstScale1
  297.   rotate ConstROT1
  298.   translate ConstTRANS1
  299.   //Commented out clipping plane to show full uncut quaternion    
  300.   // clipped_by { plane { <0, 1, 0>, 0.25
  301.   // rotate<90,210,1>
  302.   // scale<-0.1,0.1,0.1>  
  303.   // translate<0.5,0,0>
  304.   //  }
  305.   //  }
  306.       }
  307.    
  308. /////////////////////////////////////////////////////////////////////////////
  309.  
  310. // cube - calculation
  311.  
  312.   julia_fractal {
  313.   ConstE
  314.   quaternion
  315.   cube
  316.   max_iteration 4
  317.   precision 900
  318.   slice <0,0,0,1> SLICEDIST
  319.   texture { texture_1 }
  320.   scale ConstScale2
  321.   rotate ConstROT2
  322.   translate ConstTRANS2
  323.   clipped_by { plane { <0, 1, 0>, 0.25  
  324.   rotate<0,0,9>
  325.   scale<-0.1,0.1,0.1>  
  326.   translate<0,0.5,0>  }  
  327.   }
  328.   }
  329.          
  330.   julia_fractal {
  331.   ConstE
  332.   quaternion
  333.   cube
  334.   max_iteration 5
  335.   precision 900
  336.   slice <0,0,0,1> SLICEDIST
  337.   texture { texture_2 }  
  338.   scale ConstScale2
  339.   rotate ConstROT2
  340.   translate ConstTRANS2    
  341.   clipped_by { plane { <0, 1, 0>, 0.25  
  342.   rotate<0,0,9>
  343.   scale<-0.1,0.1,0.1>  
  344.   translate<0,0.6,0>  }  
  345.   }
  346.   }
  347.  
  348.   julia_fractal {
  349.   ConstE
  350.   quaternion
  351.   cube
  352.   max_iteration 6
  353.   precision 900
  354.   slice <0,0,0,1> SLICEDIST
  355.   texture { texture_1 }
  356.   scale ConstScale2
  357.   rotate ConstROT2
  358.   translate ConstTRANS2
  359.    
  360.   clipped_by { plane { <0, 1, 0>, 0.25  
  361.   rotate<0,0,9>
  362.   scale<-0.1,0.1,0.1>  
  363.   translate<0,0.7,0>  }  
  364.   }
  365.   }  
  366.  
  367.   julia_fractal {
  368.   ConstE
  369.   quaternion
  370.   cube
  371.   max_iteration 7
  372.   precision 900
  373.   slice <0,0,0,1> SLICEDIST
  374.   texture { texture_2 }  
  375.   scale ConstScale2
  376.   rotate ConstROT2
  377.   translate ConstTRANS2
  378.   clipped_by { plane { <0, 1, 0>, 0.25  
  379.    rotate<0,0,9>
  380.   scale<-0.1,0.1,0.1>  
  381.   translate<0,0.8,0>  }  
  382.   }
  383.   }    
  384.  
  385.   julia_fractal {
  386.   ConstE
  387.   quaternion
  388.   cube
  389.   max_iteration 8
  390.   precision 900
  391.   slice <0,0,0,1> SLICEDIST
  392.   texture { texture_1 }
  393.   scale ConstScale2
  394.   rotate ConstROT2
  395.   translate ConstTRANS2  
  396.   clipped_by { plane { <0, 1, 0>, 0.25  
  397.   rotate<0,0,9>
  398.   scale<-0.1,0.1,0.1>  
  399.   translate<0,0.9,0>  }  
  400.   }
  401.   }  
  402.  
  403.   julia_fractal {
  404.   ConstE
  405.   quaternion
  406.   cube
  407.   max_iteration 9
  408.   precision 900
  409.   slice <0,0,0,1> SLICEDIST
  410.   texture { texture_2 }  
  411.   scale ConstScale2
  412.   rotate ConstROT2
  413.   translate ConstTRANS2
  414.   clipped_by { plane { <0, 1, 0>, 0.25  
  415.   rotate<0,0,9>
  416.   scale<-0.1,0.1,0.1>  
  417.   translate<0,1.0,0>  }  
  418.   }
  419.   }  
  420.  
  421.   julia_fractal {
  422.   ConstE
  423.   quaternion
  424.   cube
  425.   max_iteration 10
  426.   precision 900
  427.   slice <0,0,0,1> SLICEDIST
  428.   texture { texture_1 }
  429.   scale ConstScale2
  430.   rotate ConstROT2
  431.   translate ConstTRANS2  
  432.   clipped_by { plane { <0, 1, 0>, 0.25  
  433.   rotate<0,0,9>
  434.   scale<-0.1,0.1,0.1>  
  435.   translate<0,1.1,0>  }  
  436.   }
  437.   }
  438.      
  439.   julia_fractal {
  440.   ConstE
  441.   quaternion
  442.   cube
  443.   max_iteration 10
  444.   precision 900
  445.   slice <0,0,0,1> SLICEDIST
  446.   texture { texture_1 }
  447.   scale ConstScale2
  448.   rotate ConstROT2
  449.   translate ConstTRANS2
  450.   //Commented out clipping plane to show full uncut quaternion    
  451.   // clipped_by { plane { <0, 1, 0>, 0.25  
  452.  
  453.   // rotate<0,0,9>
  454.   // scale<-0.1,0.1,0.1>  
  455.   // translate<0,1.1,0>  }  
  456.   //  }
  457.       }    
  458.      
  459.   // plane { <0, 1, 0>, 0.25  
  460.   // rotate<0,0,0>
  461.   // scale<-0.1,0.1,0.1>  
  462.   // translate<0,0.5,0>  }
  463.  
  464.   plane { <0, 1, 0>, 0.25    
  465.   texture {pigment { color White }}
  466.   rotate<90,90,0>
  467.   scale<-0.1,0.1,0.1>  
  468.   translate<-120,0,0>  }
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