//******************** Stellation of the Icoasahedron *********************
//*************************  All 59 possible ******************************
//************************ J. Cranmer June 1995 ***************************
//*************** Thanks to Grant Hutchinson and Tom Gettys ***************

//This scene file REQUIRES icosa59.inc

//The stellations are all based on an icosahedron of unit side.
//Some will have to be scaled to fit the display or the view point
//changed.

//The numbering system is based on that used by Coxeter et al in the
//book "The Fifty-Nine Icsoahedra".  The diagrams for the facial
//planes used in icosa59.inc were taken directly from this work.


#include "colors.inc"
#include "textures.inc"
#include "icosa59.inc"

/******************************************************************/
/******************* Change declaration below *********************/

#declare One_Third_Face =  Cox_19_3

/******************************************************************/
/******************************************************************/

camera {
   location  < 0, 0, -25 >
   direction < 0, 0,  3 >
   up        < 0, 1,  0 >
   right   < 4/3, 0,  0 >
   look_at   < 0, 0,  0 >
}

light_source { < 100, 200, -300 > color White }
light_source { <-100,  50, -300 > color Gray70 }

background { colour rgb < 0.7, 0.8, 0.9 > }

#declare Offset = -0.755761                //radius of internal sphere

#declare  I_IB_FaceFace =
union {
   object { One_Third_Face rotate z *   0 }
   object { One_Third_Face rotate z * 120 }
   object { One_Third_Face rotate z * 240 }
   translate < 0, 0, Offset >
}

#declare Icosahedral_Face = object {  I_IB_FaceFace}

#declare Stellated_Icosahedron =
union {
   object { Icosahedral_Face 
      rotate x * 52.622632 rotate y *   0
   }
   object { Icosahedral_Face 
      rotate x * 52.622632 rotate y *  72
   }
   object { Icosahedral_Face 
      rotate x * 52.622632 rotate y * 144
   }
   object { Icosahedral_Face 
      rotate x * 52.622632 rotate y * 216 
   }
   object { Icosahedral_Face 
      rotate x * 52.622632 rotate y * 288
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * 10.812317 rotate y *   0 
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * 10.812317 rotate y *  72 
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * 10.812317 rotate y * 144
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * 10.812317 rotate y * 216 
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * 10.812317 rotate y * 288 
   }
   object { Icosahedral_Face 
      rotate x * -10.812317 rotate y * 36 
   }
   object { Icosahedral_Face 
      rotate x * -10.812317 rotate y * 108 
   }
   object { Icosahedral_Face 
      rotate x * -10.812317 rotate y * 180 
   }
      object { Icosahedral_Face 
      rotate x * -10.812317 rotate y * 252 
   }
   object { Icosahedral_Face 
      rotate x * -10.812317 rotate y * 324
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * -52.622632 rotate y *  36
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * -52.622632 rotate y * 108
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * -52.622632 rotate y * 180 
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * -52.622632 rotate y * 252
   }
   object { Icosahedral_Face 
      rotate z * 180 
      rotate x * -52.622632 rotate y * 324
   }
}  

//Used to check facial planes
//object { Icosahedral_Face pigment { Red } }

object { Stellated_Icosahedron  
   rotate y * 1
   pigment { Cyan }
   no_shadow
}