Biscribed Disdyakis Dodecahedron with radius = 1

C0 = 0.577350269189625764509148780502  = sqrt(3) / 3
C1 = 0.7071067811865475244008443621048 = sqrt(2) / 2

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

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