6-Truncated Tetrakis Hexahedron (canonical)

C0 = 0.908248290463863016366214012451 = (3 + sqrt(6)) / 6
C1 = 1.724744871391589049098642037353 = (1 + sqrt(6)) / 2
C2 = 2.13299316185545206546485604980  = (3 + 4 * sqrt(6)) / 6
C3 = 2.58711730708738357364796305603  = 3 * (1 + sqrt(6)) / 4

V0  = ( 0.0,  0.0,   C3)
V1  = ( 0.0,  0.0,  -C3)
V2  = (  C3,  0.0,  0.0)
V3  = ( -C3,  0.0,  0.0)
V4  = ( 0.0,   C3,  0.0)
V5  = ( 0.0,  -C3,  0.0)
V6  = (  C0,   C0,   C2)
V7  = (  C0,   C0,  -C2)
V8  = (  C0,  -C0,   C2)
V9  = (  C0,  -C0,  -C2)
V10 = ( -C0,   C0,   C2)
V11 = ( -C0,   C0,  -C2)
V12 = ( -C0,  -C0,   C2)
V13 = ( -C0,  -C0,  -C2)
V14 = (  C2,   C0,   C0)
V15 = (  C2,   C0,  -C0)
V16 = (  C2,  -C0,   C0)
V17 = (  C2,  -C0,  -C0)
V18 = ( -C2,   C0,   C0)
V19 = ( -C2,   C0,  -C0)
V20 = ( -C2,  -C0,   C0)
V21 = ( -C2,  -C0,  -C0)
V22 = (  C0,   C2,   C0)
V23 = (  C0,   C2,  -C0)
V24 = (  C0,  -C2,   C0)
V25 = (  C0,  -C2,  -C0)
V26 = ( -C0,   C2,   C0)
V27 = ( -C0,   C2,  -C0)
V28 = ( -C0,  -C2,   C0)
V29 = ( -C0,  -C2,  -C0)
V30 = (  C1,  0.5,   C1)
V31 = (  C1,  0.5,  -C1)
V32 = (  C1, -0.5,   C1)
V33 = (  C1, -0.5,  -C1)
V34 = ( -C1,  0.5,   C1)
V35 = ( -C1,  0.5,  -C1)
V36 = ( -C1, -0.5,   C1)
V37 = ( -C1, -0.5,  -C1)
V38 = (  C1,   C1,  0.5)
V39 = (  C1,   C1, -0.5)
V40 = (  C1,  -C1,  0.5)
V41 = (  C1,  -C1, -0.5)
V42 = ( -C1,   C1,  0.5)
V43 = ( -C1,   C1, -0.5)
V44 = ( -C1,  -C1,  0.5)
V45 = ( -C1,  -C1, -0.5)
V46 = ( 0.5,   C1,   C1)
V47 = ( 0.5,   C1,  -C1)
V48 = ( 0.5,  -C1,   C1)
V49 = ( 0.5,  -C1,  -C1)
V50 = (-0.5,   C1,   C1)
V51 = (-0.5,   C1,  -C1)
V52 = (-0.5,  -C1,   C1)
V53 = (-0.5,  -C1,  -C1)

Faces:
{  6, 30, 14, 38, 22, 46 }
{  7, 47, 23, 39, 15, 31 }
{  8, 48, 24, 40, 16, 32 }
{  9, 33, 17, 41, 25, 49 }
{ 10, 50, 26, 42, 18, 34 }
{ 11, 35, 19, 43, 27, 51 }
{ 12, 36, 20, 44, 28, 52 }
{ 13, 53, 29, 45, 21, 37 }
{  0,  6, 46, 50, 10 }
{  0, 10, 34, 36, 12 }
{  0, 12, 52, 48,  8 }
{  0,  8, 32, 30,  6 }
{  1,  7, 31, 33,  9 }
{  1,  9, 49, 53, 13 }
{  1, 13, 37, 35, 11 }
{  1, 11, 51, 47,  7 }
{  2, 14, 30, 32, 16 }
{  2, 16, 40, 41, 17 }
{  2, 17, 33, 31, 15 }
{  2, 15, 39, 38, 14 }
{  3, 18, 42, 43, 19 }
{  3, 19, 35, 37, 21 }
{  3, 21, 45, 44, 20 }
{  3, 20, 36, 34, 18 }
{  4, 22, 38, 39, 23 }
{  4, 23, 47, 51, 27 }
{  4, 27, 43, 42, 26 }
{  4, 26, 50, 46, 22 }
{  5, 24, 48, 52, 28 }
{  5, 28, 44, 45, 29 }
{  5, 29, 53, 49, 25 }
{  5, 25, 41, 40, 24 }