#declare xrot=0
#declare yrot=0
#declare zrot=clock * 0

#declare fac=10
#declare a=fac*.5436890127
#declare b=fac*.2955977425


#declare A = <fac, +a, +b>
#declare B = <fac, -a, -b>
#declare C = <fac, +b, -a>
#declare D = <fac, -b, +a>
#declare E = <-fac, +a, -b>
#declare F = <-fac, -a, +b>
#declare G = <-fac, +b, +a>
#declare H = <-fac, -b, -a>
#declare I = <+a, fac, -b>
#declare J = <-a, fac, +b>
#declare K = <+b, fac, +a>
#declare L = <-b, fac, -a>
#declare M = <+a, -fac, +b>
#declare N = <-a, -fac, -b>
#declare O = <+b, -fac, -a>
#declare P = <-b, -fac, +a>
#declare Q = <+a, +b, +fac>
#declare R = <-a, -b, +fac>
#declare S = <+b, -a, +fac>
#declare T = <-b, +a, +fac>
#declare U = <+a, -b, -fac>
#declare V = <-a, +b, -fac>
#declare W = <+b, +a, -fac>
#declare X = <-b, -a, -fac>


  #include "colors.inc"

  background { color Black }
//  background { color White }

  camera {
    location 6*<0,4, 0>
    look_at  <0, 0,  0>
    right <1,0,0>
//    sky < 1,0,0>
    rotate <xrot,yrot,zrot>
    orthographic
  }

union{
  light_source { <0,220,0> color White shadowless}
  light_source { <100,100,0> color White shadowless}
  rotate <xrot,yrot,zrot>
}
#declare bodya =
union {
// Dreiecke mit Seiten an einem Quadrat (24 Stück aussen)
  triangle {A C I}
  triangle {E G J}
  triangle {A I K}
  triangle {E J L}
  triangle {B D M}
  triangle {F H N}
  triangle {B M O}
  triangle {F N P}
  triangle {A D Q}
  triangle {A K Q}
  triangle {F G R}
  triangle {F P R}
  triangle {D M S}
  triangle {M P S}
  triangle {D Q S}
  triangle {P R S}
  triangle {G J T}
  triangle {J K T}
  triangle {K Q T}
  triangle {G R T}
  triangle {B C U}
  triangle {B O U}
  triangle {E H V}
  triangle {E L V}
  triangle {C I W}
  triangle {I L W}
  triangle {C U W}
  triangle {L V W}
  triangle {H N X}
  triangle {N O X}
  triangle {O U X}
  triangle {H V X}

}

#declare bodyi1 =
union{
//Dreiecke im inneren (Verbindung der ersten beiden Quadrate)
  triangle {A C H}
  triangle {C B F}
  triangle {B D G}
  triangle {D A E}

  triangle {H F C}
  triangle {F G B}
  triangle {G E D}
  triangle {E H A}
}
#declare bodyi2 =
union{
// Verbindung der zweiten Quadrate
  triangle {K J N}
  triangle {J L O}
  triangle {L I M}
  triangle {I K P}
  triangle {P M I}
  triangle {M O L}
  triangle {O N J}
  triangle {N P K}
}
#declare bodyi3 =
union{
// Verbindung der dritten beiden Quadrate
  triangle {R T W}
  triangle {T Q U}
  triangle {Q S X}
  triangle {S R V}
  triangle {X U Q}
  triangle {U W T}
  triangle {W V R}
  triangle {V X S} 
  
}

/*******************************************************************
Darstellung der Kanten als Zylinder
*******************************************************************/
#declare zr = 0.03// Zylinderradius // war 0.02

#declare kanteni1 =
union{
  cylinder {A, E, zr}
  cylinder {A, H, zr}
  cylinder {B, F, zr}
  cylinder {B, G, zr}
  cylinder {C, F, zr}
  cylinder {C, H, zr}
  cylinder {D, E, zr}
  cylinder {D, G, zr}
}

#declare kanteni2 =
union{
  cylinder {I, M, zr}
  cylinder {I, P, zr}
  cylinder {J, N, zr}
  cylinder {J, O, zr}
  cylinder {K, N, zr}
  cylinder {K, P, zr}
  cylinder {L, M, zr}
  cylinder {L, O, zr}
}
#declare kanteni3=
union{
  cylinder {Q, U, zr}
  cylinder {Q, X, zr}
  cylinder {R, V, zr}
  cylinder {R, W, zr}
  cylinder {S, V, zr}
  cylinder {S, X, zr}
  cylinder {T, U, zr}
  cylinder {T, W, zr}
}


#declare Kanten = union {
  cylinder {A, C, zr} 
  cylinder {A, D, zr} 
  cylinder {A, I, zr} 
  cylinder {A, K, zr} 
  cylinder {A, Q, zr} 

  cylinder {B, C, zr} 
  cylinder {B, D, zr} 
  cylinder {B, M, zr} 
  cylinder {B, O, zr} 
  cylinder {B, U, zr} 

  cylinder {C, I, zr} 
  cylinder {C, U, zr} 
  cylinder {C, W, zr} 

  cylinder {D, M, zr} 
  cylinder {D, Q, zr} 
  cylinder {D, S, zr} 

  cylinder {E, G, zr} 
  cylinder {E, H, zr} 
  cylinder {E, J, zr} 
  cylinder {E, L, zr} 
  cylinder {E, V, zr} 

  cylinder {F, G, zr} 
  cylinder {F, H, zr} 
  cylinder {F, N, zr} 
  cylinder {F, P, zr} 
  cylinder {F, R, zr} 

  cylinder {G, J, zr} 
  cylinder {G, R, zr} 
  cylinder {G, T, zr} 

  cylinder {H, N, zr} 
  cylinder {H, V, zr} 
  cylinder {H, X, zr} 

  cylinder {I, K, zr} 
  cylinder {I, L, zr} 
  cylinder {I, W, zr} 

  cylinder {J, K, zr} 
  cylinder {J, L, zr} 
  cylinder {J, T, zr} 

  cylinder {K, J, zr} 
  cylinder {K, Q, zr} 
  cylinder {K, T, zr} 

  cylinder {L, V, zr} 
  cylinder {L, W, zr} 

  cylinder {M, O, zr} 
  cylinder {M, P, zr} 
  cylinder {M, S, zr} 

  cylinder {N, O, zr} 
  cylinder {N, P, zr} 
  cylinder {N, X, zr} 

  cylinder {O, U, zr} 
  cylinder {O, X, zr} 

  cylinder {P, R, zr} 
  cylinder {P, S, zr} 

  cylinder {Q, S, zr} 
  cylinder {Q, T, zr} 

  cylinder {R, S, zr} 
  cylinder {R, T, zr} 

  cylinder {U, W, zr} 
  cylinder {U, X, zr} 

  cylinder {V, W, zr} 
  cylinder {V, X, zr} 
}

object {
  bodyi2
  texture{
    pigment { color  Yellow}
    finish {
      ambient 0.1
      diffuse 0.7
    }
  }
//  rotate 360*clock*<1, 10, 0>
//  rotate <xrot,yrot, zrot>
}

object {
  bodyi1
  texture{
    pigment { color Orange }
  }
}

object {
  bodyi3
  texture{
    pigment { color Orange }
  }
}

object {
  bodya
  texture{
    pigment { color Yellow }
  }
}

union {
  object {Kanten}
//  object {kanteni1}
  object{kanteni2}
//  object{kanteni3}
  texture{ pigment { color Black }}
}