Geodesic Cube Pattern 2 [2,0] (Deltoidal Icositetrahedron)

C0 = 0.591979951316158877518160897568 = sqrt(2 * (10 - sqrt(2))) / 7
C1 = 0.765366864730179543456919968061 = sqrt(2 - sqrt(2))
C2 = 1.08239220029239396879944641073  = sqrt(2 * (2 - sqrt(2)))

V0  = (0.0, 0.0,  C2)
V1  = (0.0, 0.0, -C2)
V2  = ( C2, 0.0, 0.0)
V3  = (-C2, 0.0, 0.0)
V4  = (0.0,  C2, 0.0)
V5  = (0.0, -C2, 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, 14 }
{  0, 14, 22,  8 }
{  0,  8, 24, 16 }
{  0, 16, 20,  6 }
{  1,  9, 23, 15 }
{  1, 15, 19,  7 }
{  1,  7, 21, 17 }
{  1, 17, 25,  9 }
{  2,  7, 19, 10 }
{  2, 10, 18,  6 }
{  2,  6, 20, 11 }
{  2, 11, 21,  7 }
{  3,  8, 22, 12 }
{  3, 12, 23,  9 }
{  3,  9, 25, 13 }
{  3, 13, 24,  8 }
{  4, 10, 19, 15 }
{  4, 15, 23, 12 }
{  4, 12, 22, 14 }
{  4, 14, 18, 10 }
{  5, 11, 20, 16 }
{  5, 16, 24, 13 }
{  5, 13, 25, 17 }
{  5, 17, 21, 11 }