Rhombicosacron

C0 = 0.414589803375031545538623949690 = 3 * (5 - sqrt(5)) / 20
C1 = 0.618033988749894848204586834366 = (sqrt(5) - 1) / 2
C2 = 0.670820393249936908922752100619 = 3 * sqrt(5) / 10
C3 = 1.08541019662496845446137605031  = 3 * (5 + sqrt(5)) / 20
C4 = 1.34164078649987381784550420124  = 3 * sqrt(5) / 5
C5 = 1.61803398874989484820458683437  = (1 + sqrt(5)) / 2

V0  = ( 0.0,   C1,   C5)
V1  = ( 0.0,   C1,  -C5)
V2  = ( 0.0,  -C1,   C5)
V3  = ( 0.0,  -C1,  -C5)
V4  = (  C5,  0.0,   C1)
V5  = (  C5,  0.0,  -C1)
V6  = ( -C5,  0.0,   C1)
V7  = ( -C5,  0.0,  -C1)
V8  = (  C1,   C5,  0.0)
V9  = (  C1,  -C5,  0.0)
V10 = ( -C1,   C5,  0.0)
V11 = ( -C1,  -C5,  0.0)
V12 = ( 0.0,  0.0,   C4)
V13 = ( 0.0,  0.0,  -C4)
V14 = (  C4,  0.0,  0.0)
V15 = ( -C4,  0.0,  0.0)
V16 = ( 0.0,   C4,  0.0)
V17 = ( 0.0,  -C4,  0.0)
V18 = (  C0,   C2,   C3)
V19 = (  C0,   C2,  -C3)
V20 = (  C0,  -C2,   C3)
V21 = (  C0,  -C2,  -C3)
V22 = ( -C0,   C2,   C3)
V23 = ( -C0,   C2,  -C3)
V24 = ( -C0,  -C2,   C3)
V25 = ( -C0,  -C2,  -C3)
V26 = (  C3,   C0,   C2)
V27 = (  C3,   C0,  -C2)
V28 = (  C3,  -C0,   C2)
V29 = (  C3,  -C0,  -C2)
V30 = ( -C3,   C0,   C2)
V31 = ( -C3,   C0,  -C2)
V32 = ( -C3,  -C0,   C2)
V33 = ( -C3,  -C0,  -C2)
V34 = (  C2,   C3,   C0)
V35 = (  C2,   C3,  -C0)
V36 = (  C2,  -C3,   C0)
V37 = (  C2,  -C3,  -C0)
V38 = ( -C2,   C3,   C0)
V39 = ( -C2,   C3,  -C0)
V40 = ( -C2,  -C3,   C0)
V41 = ( -C2,  -C3,  -C0)
V42 = ( 1.0,  1.0,  1.0)
V43 = ( 1.0,  1.0, -1.0)
V44 = ( 1.0, -1.0,  1.0)
V45 = ( 1.0, -1.0, -1.0)
V46 = (-1.0,  1.0,  1.0)
V47 = (-1.0,  1.0, -1.0)
V48 = (-1.0, -1.0,  1.0)
V49 = (-1.0, -1.0, -1.0)

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