//******************** Stellation of the Icoasahedron *********************
//******************* Include File for all 59 possible ********************
//************************ J. Cranmer June 1995 ***************************

//Points on the stellation diagram
#declare A = < 0.000000, 0.577351, 0.000000 >
#declare B = <-0.500000,-0.288675, 0.000000 >
#declare C = < 0.500000,-0.288675, 0.000000 >
#declare D = <-0.585410, 0.337989, 0.000000 >
#declare E = < 0.585410, 0.337989, 0.000000 >
#declare F = <-0.654509, 0.844967, 0.000000 >
#declare G = < 0.654509, 0.844967, 0.000000 >
#declare H = <-0.309017, 1.112584, 0.000000 >
#declare I = < 0.309017, 1.112584, 0.000000 >
#declare J = < 0.000000, 1.351947, 0.000000 >
#declare K = <-0.809017, 1.978609, 0.000000 >
#declare L = < 0.809017, 1.978609, 0.000000 >
#declare M = <-3.427051, 1.978609, 0.000000 >
#declare N = < 3.427051, 1.978609, 0.000000 >
#declare O = <-0.947214, 0.964649, 0.000000 >
#declare P = < 0.947214, 0.964649, 0.000000 >
#declare Q = <-1.000000, 0.577351, 0.000000 >
#declare R = < 1.000000, 0.577351, 0.000000 >
#declare S = <-1.309017, 0.337987, 0.000000 >
#declare T = < 1.309017, 0.337987, 0.000000 >
#declare U = <-1.059017, 0.144338, 0.000000 >
#declare V = < 1.059017, 0.144338, 0.000000 >
#declare W = <-2.118034,-0.288675, 0.000000 >
#declare X = < 2.118034,-0.288675, 0.000000 >
#declare Y = < 5.545085, 5.647152, 0.000000 >
#declare Z = < 7.663119, 1.978609, 0.000000 >
#declare AA= < 6.854102,-3.957218, 0.000000 >

/******************************************************************/
// The Red triangles belong to the "internal" faces as
// discribed by Coxeter

// Declare the individual triangles used to make the stellations
// Some are defined and used singularly in the non-symetrical stellations

#declare T0 =
   triangle { A, B, C }

#declare T1 =
   triangle { A, B, D }

#declare T2 =
union {
   triangle { A, D, F }
   triangle { A, G, E }
}

#declare T3 =
union {
   triangle { E, G, R }
   triangle { E, V, R }
}

#declare T4 =
union {
   triangle { A, I, G }
   triangle { A, F, H }
}

#declare T5a =  triangle { F, H, K }
#declare T5b =  triangle { I, G, L }
#declare T5 =
union {
   object { T5a }
   object { T5b }
}

#declare T6a = triangle { Q, O, F }
#declare T6b = triangle { G, P, R }
#declare T6 =
union {
   object { T6a }
   object { T6b }
}

#declare T7 =
union {
   triangle { A, H, J }
   triangle { A, I, J }
}

#declare T8 =
union {
   triangle { Q, S, M }
   triangle { Q, O, M }
}

#declare T9a =  triangle { H, K, J }
#declare T9b =  triangle { L, I, J }
#declare T9 =
union {
   object { T9a }
   object { T9b }
}

#declare T10a = triangle { F, O, K }
#declare T10b = triangle { G, P, L }
#declare T10 =
union {
   object { T10a }
   object { T10b }
}

#declare T11 =
union {
   triangle { O, K, M }
   triangle { L, N, P }
}

#declare T12 = triangle { J, K, L }

#declare T13 =
union {
   triangle { J, X, Y }
   triangle { L, X, Z }
}

#declare T14 = triangle { W, K, AA }

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

#declare Cox_1_1 = object { T0 }

#declare Cox_1_2 = object { T1 }

#declare Cox_1_3 = object { T2 }

#declare Cox_1_4 =
union {
   object { T3 }
   object { T4 }
}

#declare Cox_2_1 =
union {
   object { T5 }
   object { T6 }
   object { T7 }
}

#declare Cox_2_2 =
union {
   object { T8 }
   object { T9 }
   object { T10 }
}

#declare Cox_2_3 =
union {
   object { T11 }
   object { T12 }
}

#declare Cox_3_1 =
union {
   object { T13 }
   object { T14 }
}

#declare Cox_4_1 =
union {
   object { T3 pigment { Red } }
   object { T5 }
}

#declare Cox_4_2 =
union {
   object { T5 pigment { Red } }
   object { T6 pigment { Red } }
   object { T9 }
   object { T10 }
}

#declare Cox_4_3 =
union {
   object { T10 pigment { Red } }
   object { T12 }
}

#declare Cox_5_1 =
union {
   object { T3 pigment { Red } }
   object { T6 pigment { Red } }
   object { T9 }
   object { T10 }
}

#declare Cox_5_2 =
union {
   object { T3 pigment { Red } }
   object { T6 pigment { Red } }
   object { T9 }
   object { T12 }
}

#declare Cox_5_3 =
union {
   object { T5 pigment { Red } }
   object { T6 pigment { Red } }
   object { T9 }
   object { T12 }
}

#declare Cox_6_1 =
union {
   object { T4 pigment { Red } }
   object { T6 }
   object { T7 }
}

#declare Cox_6_2 =
union {
   object { T7 pigment { Red } }
   object { T8 }
}

#declare Cox_6_3 =
union {
   object { T8 pigment { Red } }
   object { T9 pigment { Red } }
   object { T11 }
}

#declare Cox_7_1 =
union {
   object { T4 pigment { Red } }
   object { T6 }
   object { T8 }
}

#declare Cox_7_2 =
union {
   object { T4 pigment { Red } }
   object { T6 }
   object { T9 pigment { Red } }
   object { T11 }
}

#declare Cox_7_3 =
union {
   object { T7 pigment { Red } }
   object { T9 pigment { Red } }
   object { T11 }
}

#declare Cox_8_1 =
union {
   object { T4 }
   object { T5 }
}

#declare Cox_8_2 =
union {
   object { T7 }
   object { T9 }
   object { T10 }
}

#declare Cox_8_3 =
union {
   object { T8 }
   object { T9 }
   object { T12 }
}

#declare Cox_9_1 =
union {
   object { T4 }
   object { T6 pigment { Red } }
   object { T9 }
   object { T10 }
}

#declare Cox_9_2 =
union {
   object { T4 }
   object { T6 pigment { Red } }
   object { T9 }
   object { T12 }
}

#declare Cox_9_3 =
union {
   object { T7 }
   object { T9 }
   object { T12 }
}

#declare Cox_10_1 =
union {
   object { T3 }
   object { T6 }
   object { T7 }
}

#declare Cox_10_2 =
union {
   object { T5 }
   object { T6 }
   object { T8 }
}

#declare Cox_10_3 =
union {
   object { T10 }
   object { T11 }
}

#declare Cox_11_1 =
union {
   object { T3 }
   object { T6 }
   object { T8 }
}

#declare Cox_11_2 =
union {
   object { T3 }
   object { T6 }
   object { T9 pigment { Red } }
   object { T11 }
}

#declare Cox_11_3 =
union {
   object { T5 }
   object { T6 }
   object { T9 pigment { Red } }
   object { T11 }
}

#declare Cox_12_1 =
union {
   object { T5b pigment { Red } }
   object { T6b pigment { Red } }
   object { T9a }
   object { T10a }
}

#declare Cox_12_2 =
union {
   object { T3 pigment { Red } }
   object { T5b }
   object { T6b pigment { Red } }
   object { T9b }
   object { T10b }
}

#declare Cox_12_3 =
union {
   object { T4 }
   object { T5a }
   object { T6b pigment { Red } }
   object { T9a }
   object { T10a }
}

#declare Cox_13_1 =
union {
   object { T5b pigment { Red } }
   object { T6b pigment { Red } }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_13_2 =
union {
   object { T3 pigment { Red } }
   object { T5a }
   object { T6b pigment { Red } }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_13_3 =
union {
   object { T4 }
   object { T5a }
   object { T6b pigment { Red } }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_14_1 =
union {
   object { T5b pigment { Red } }
   object { T6b pigment { Red } }
   object { T8 pigment { Red } }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_14_2 =
union {
   object { T3 pigment { Red } }
   object { T5a }
   object { T6b pigment { Red } }
   object { T8 pigment { Red } }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_14_3 =
union {
   object { T4 }
   object { T5a }
   object { T6b pigment { Red } }
   object { T8 pigment { Red } }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_15_1 =
union {
   object { T5b pigment { Red } }
   object { T6b pigment { Red } }
   object { T7 pigment { Red } }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_15_2 =
union {
   object { T3 pigment { Red } }
   object { T5a }
   object { T6b pigment { Red } }
   object { T7 pigment { Red } }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_15_3 =
union {
   object { T4 }
   object { T5a }
   object { T6b pigment { Red } }
   object { T7 pigment { Red } }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_16_1 =
union {
   object { T4 pigment { Red } }
   object { T5b pigment { Red } }
   object { T6a }
   object { T7 }
   object { T9a }
   object { T10a }
}

#declare Cox_16_2 =
union {
   object { T3 }
   object { T5b pigment { Red } }
   object { T6a }
   object { T7 }
   object { T9a }
   object { T10a }
}

#declare Cox_16_3 =
union {
   object { T5a }
   object { T6a }
   object { T7 }
   object { T9a }
   object { T10a }
}

#declare Cox_17_1 =
union {
   object { T4 pigment { Red } }
   object { T5b pigment { Red } }
   object { T6a }
   object { T7 }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_17_2 =
union {
   object { T3 }
   object { T5b pigment { Red } }
   object { T6a }
   object { T7 }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_17_3 =
union {
   object { T5a }
   object { T6a }
   object { T7 }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_18_1 =
union {
   object { T4 pigment { Red } }
   object { T5b pigment { Red } }
   object { T6a }
   object { T8 }
   object { T9a }
   object { T10a }
}

#declare Cox_18_2 =
union {
   object { T3 }
   object { T5b pigment { Red } }
   object { T6a }
   object { T8 }
   object { T9a }
   object { T10a }
}

#declare Cox_18_3 =
union {
   object { T5a}
   object { T6a }
   object { T8 }
   object { T9a }
   object { T10a }
}

#declare Cox_19_1 =
union {
   object { T4 pigment { Red } }
   object { T5b pigment { Red } }
   object { T6a }
   object { T8 }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_19_2 =
union {
   object { T3 }
   object { T5b pigment { Red } }
   object { T6a }
   object { T8 }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_19_3 =
union {
   object { T5a }
   object { T6a }
   object { T8 }
   object { T9a }
   object { T10b pigment { Red } }
   object { T12 }
}

#declare Cox_20_1 =
union {
   object { T4 pigment { Red } }
   object { T5b pigment { Red } }
   object { T6a }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_20_2 =
union {
   object { T3 }
   object { T5b pigment { Red } }
   object { T6a }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}

#declare Cox_20_3 =
union {
   object { T5a }
   object { T6a }
   object { T9b pigment { Red } }
   object { T10a }
   object { T11 }
}