Geodesic Icosahedron Pattern 1 [1,1] (Pentakis Dodecahedron)

C0 = 0.381966011250105151795413165634  = (3 - sqrt(5)) / 2
C1 = 0.548231992894670430445002211178  = 3 * (2 * sqrt(5) - 1) / 19
C2 = 0.618033988749894848204586834366  = (sqrt(5) - 1) / 2
C3 = 0.8870579982236676076112505527946 = 3 * (9 + sqrt(5)) / 38

V0  = ( 0.0,   C0,  1.0)
V1  = ( 0.0,   C0, -1.0)
V2  = ( 0.0,  -C0,  1.0)
V3  = ( 0.0,  -C0, -1.0)
V4  = ( 1.0,  0.0,   C0)
V5  = ( 1.0,  0.0,  -C0)
V6  = (-1.0,  0.0,   C0)
V7  = (-1.0,  0.0,  -C0)
V8  = (  C0,  1.0,  0.0)
V9  = (  C0, -1.0,  0.0)
V10 = ( -C0,  1.0,  0.0)
V11 = ( -C0, -1.0,  0.0)
V12 = (  C1,  0.0,   C3)
V13 = (  C1,  0.0,  -C3)
V14 = ( -C1,  0.0,   C3)
V15 = ( -C1,  0.0,  -C3)
V16 = (  C3,   C1,  0.0)
V17 = (  C3,  -C1,  0.0)
V18 = ( -C3,   C1,  0.0)
V19 = ( -C3,  -C1,  0.0)
V20 = ( 0.0,   C3,   C1)
V21 = ( 0.0,   C3,  -C1)
V22 = ( 0.0,  -C3,   C1)
V23 = ( 0.0,  -C3,  -C1)
V24 = (  C2,   C2,   C2)
V25 = (  C2,   C2,  -C2)
V26 = (  C2,  -C2,   C2)
V27 = (  C2,  -C2,  -C2)
V28 = ( -C2,   C2,   C2)
V29 = ( -C2,   C2,  -C2)
V30 = ( -C2,  -C2,   C2)
V31 = ( -C2,  -C2,  -C2)

Faces:
{ 12,  0,  2 }
{ 12,  2, 26 }
{ 12, 26,  4 }
{ 12,  4, 24 }
{ 12, 24,  0 }
{ 13,  3,  1 }
{ 13,  1, 25 }
{ 13, 25,  5 }
{ 13,  5, 27 }
{ 13, 27,  3 }
{ 14,  2,  0 }
{ 14,  0, 28 }
{ 14, 28,  6 }
{ 14,  6, 30 }
{ 14, 30,  2 }
{ 15,  1,  3 }
{ 15,  3, 31 }
{ 15, 31,  7 }
{ 15,  7, 29 }
{ 15, 29,  1 }
{ 16,  4,  5 }
{ 16,  5, 25 }
{ 16, 25,  8 }
{ 16,  8, 24 }
{ 16, 24,  4 }
{ 17,  5,  4 }
{ 17,  4, 26 }
{ 17, 26,  9 }
{ 17,  9, 27 }
{ 17, 27,  5 }
{ 18,  7,  6 }
{ 18,  6, 28 }
{ 18, 28, 10 }
{ 18, 10, 29 }
{ 18, 29,  7 }
{ 19,  6,  7 }
{ 19,  7, 31 }
{ 19, 31, 11 }
{ 19, 11, 30 }
{ 19, 30,  6 }
{ 20,  8, 10 }
{ 20, 10, 28 }
{ 20, 28,  0 }
{ 20,  0, 24 }
{ 20, 24,  8 }
{ 21, 10,  8 }
{ 21,  8, 25 }
{ 21, 25,  1 }
{ 21,  1, 29 }
{ 21, 29, 10 }
{ 22, 11,  9 }
{ 22,  9, 26 }
{ 22, 26,  2 }
{ 22,  2, 30 }
{ 22, 30, 11 }
{ 23,  9, 11 }
{ 23, 11, 31 }
{ 23, 31,  3 }
{ 23,  3, 27 }
{ 23, 27,  9 }