Rhombic Hexecontahedron

C0 = 0.525731112119133606025669084848 = sqrt(10 * (5 - sqrt(5))) / 10
C1 = 0.850650808352039932181540497063 = sqrt(10 * (5 + sqrt(5))) / 10
C2 = 1.37638192047117353820720958191  = sqrt(5 * (5 + 2 * sqrt(5))) / 5
C3 = 1.70130161670407986436308099413  = sqrt(10 * (5 + sqrt(5))) / 5
C4 = 2.22703272882321347038875007897  = sqrt(10 * (25 + 11 * sqrt(5))) / 10

V0  = (0.0, 0.0,  C3)
V1  = (0.0, 0.0, -C3)
V2  = ( C3, 0.0, 0.0)
V3  = (-C3, 0.0, 0.0)
V4  = (0.0,  C3, 0.0)
V5  = (0.0, -C3, 0.0)
V6  = (0.0,  C1,  C4)
V7  = (0.0,  C1, -C4)
V8  = (0.0, -C1,  C4)
V9  = (0.0, -C1, -C4)
V10 = ( C4, 0.0,  C1)
V11 = ( C4, 0.0, -C1)
V12 = (-C4, 0.0,  C1)
V13 = (-C4, 0.0, -C1)
V14 = ( C1,  C4, 0.0)
V15 = ( C1, -C4, 0.0)
V16 = (-C1,  C4, 0.0)
V17 = (-C1, -C4, 0.0)
V18 = ( C0, 0.0,  C1)
V19 = ( C0, 0.0, -C1)
V20 = (-C0, 0.0,  C1)
V21 = (-C0, 0.0, -C1)
V22 = ( C1,  C0, 0.0)
V23 = ( C1, -C0, 0.0)
V24 = (-C1,  C0, 0.0)
V25 = (-C1, -C0, 0.0)
V26 = (0.0,  C1,  C0)
V27 = (0.0,  C1, -C0)
V28 = (0.0, -C1,  C0)
V29 = (0.0, -C1, -C0)
V30 = ( C0,  C1,  C2)
V31 = ( C0,  C1, -C2)
V32 = ( C0, -C1,  C2)
V33 = ( C0, -C1, -C2)
V34 = (-C0,  C1,  C2)
V35 = (-C0,  C1, -C2)
V36 = (-C0, -C1,  C2)
V37 = (-C0, -C1, -C2)
V38 = ( C2,  C0,  C1)
V39 = ( C2,  C0, -C1)
V40 = ( C2, -C0,  C1)
V41 = ( C2, -C0, -C1)
V42 = (-C2,  C0,  C1)
V43 = (-C2,  C0, -C1)
V44 = (-C2, -C0,  C1)
V45 = (-C2, -C0, -C1)
V46 = ( C1,  C2,  C0)
V47 = ( C1,  C2, -C0)
V48 = ( C1, -C2,  C0)
V49 = ( C1, -C2, -C0)
V50 = (-C1,  C2,  C0)
V51 = (-C1,  C2, -C0)
V52 = (-C1, -C2,  C0)
V53 = (-C1, -C2, -C0)
V54 = ( C2,  C2,  C2)
V55 = ( C2,  C2, -C2)
V56 = ( C2, -C2,  C2)
V57 = ( C2, -C2, -C2)
V58 = (-C2,  C2,  C2)
V59 = (-C2,  C2, -C2)
V60 = (-C2, -C2,  C2)
V61 = (-C2, -C2, -C2)

Faces:
{ 18,  0,  8, 32 }
{ 18, 32, 56, 40 }
{ 18, 40, 10, 38 }
{ 18, 38, 54, 30 }
{ 18, 30,  6,  0 }
{ 19,  1,  7, 31 }
{ 19, 31, 55, 39 }
{ 19, 39, 11, 41 }
{ 19, 41, 57, 33 }
{ 19, 33,  9,  1 }
{ 20,  0,  6, 34 }
{ 20, 34, 58, 42 }
{ 20, 42, 12, 44 }
{ 20, 44, 60, 36 }
{ 20, 36,  8,  0 }
{ 21,  1,  9, 37 }
{ 21, 37, 61, 45 }
{ 21, 45, 13, 43 }
{ 21, 43, 59, 35 }
{ 21, 35,  7,  1 }
{ 22,  2, 11, 39 }
{ 22, 39, 55, 47 }
{ 22, 47, 14, 46 }
{ 22, 46, 54, 38 }
{ 22, 38, 10,  2 }
{ 23,  2, 10, 40 }
{ 23, 40, 56, 48 }
{ 23, 48, 15, 49 }
{ 23, 49, 57, 41 }
{ 23, 41, 11,  2 }
{ 24,  3, 12, 42 }
{ 24, 42, 58, 50 }
{ 24, 50, 16, 51 }
{ 24, 51, 59, 43 }
{ 24, 43, 13,  3 }
{ 25,  3, 13, 45 }
{ 25, 45, 61, 53 }
{ 25, 53, 17, 52 }
{ 25, 52, 60, 44 }
{ 25, 44, 12,  3 }
{ 26,  4, 16, 50 }
{ 26, 50, 58, 34 }
{ 26, 34,  6, 30 }
{ 26, 30, 54, 46 }
{ 26, 46, 14,  4 }
{ 27,  4, 14, 47 }
{ 27, 47, 55, 31 }
{ 27, 31,  7, 35 }
{ 27, 35, 59, 51 }
{ 27, 51, 16,  4 }
{ 28,  5, 15, 48 }
{ 28, 48, 56, 32 }
{ 28, 32,  8, 36 }
{ 28, 36, 60, 52 }
{ 28, 52, 17,  5 }
{ 29,  5, 17, 53 }
{ 29, 53, 61, 37 }
{ 29, 37,  9, 33 }
{ 29, 33, 57, 49 }
{ 29, 49, 15,  5 }