Small Dodecicosacron

C0 = 0.690983005625052575897706582817 = (5 - sqrt(5)) / 4
C1 = 1.11803398874989484820458683437  = sqrt(5) / 2
C2 = 1.80901699437494742410229341718  = (5 + sqrt(5)) / 4
C3 = 2.427050983124842272306880251548 = 3 * (1 + sqrt(5)) / 4
C4 = 3.927050983124842272306880251548 = 3 * (3 + sqrt(5)) / 4

V0  = ( C3, 0.0,  C4)
V1  = ( C3, 0.0, -C4)
V2  = (-C3, 0.0,  C4)
V3  = (-C3, 0.0, -C4)
V4  = ( C4,  C3, 0.0)
V5  = ( C4, -C3, 0.0)
V6  = (-C4,  C3, 0.0)
V7  = (-C4, -C3, 0.0)
V8  = (0.0,  C4,  C3)
V9  = (0.0,  C4, -C3)
V10 = (0.0, -C4,  C3)
V11 = (0.0, -C4, -C3)
V12 = (0.0,  C0,  C2)
V13 = (0.0,  C0, -C2)
V14 = (0.0, -C0,  C2)
V15 = (0.0, -C0, -C2)
V16 = ( C2, 0.0,  C0)
V17 = ( C2, 0.0, -C0)
V18 = (-C2, 0.0,  C0)
V19 = (-C2, 0.0, -C0)
V20 = ( C0,  C2, 0.0)
V21 = ( C0, -C2, 0.0)
V22 = (-C0,  C2, 0.0)
V23 = (-C0, -C2, 0.0)
V24 = ( C1,  C1,  C1)
V25 = ( C1,  C1, -C1)
V26 = ( C1, -C1,  C1)
V27 = ( C1, -C1, -C1)
V28 = (-C1,  C1,  C1)
V29 = (-C1,  C1, -C1)
V30 = (-C1, -C1,  C1)
V31 = (-C1, -C1, -C1)

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