Snub Truncated Octahedron (canonical)

C0 = 0.0715867180534110014685116642048
C1 = 0.177333185545095990736826818470
C2 = 0.242713381062673184649329165829
C3 = 0.250698939801125022525643382407
C4 = 0.460446667060445606324336384516
C5 = 0.6012447309869901865555623843647
C6 = 0.812968831386104862246126339844951
C7 = 0.880401141056620410688535775756
C8 = 0.983861158002354272558905214052

V0  = ( C2, -C0,  C8)
V1  = ( C2,  C0, -C8)
V2  = (-C2,  C0,  C8)
V3  = (-C2, -C0, -C8)
V4  = ( C8, -C2,  C0)
V5  = ( C8,  C2, -C0)
V6  = (-C8,  C2,  C0)
V7  = (-C8, -C2, -C0)
V8  = ( C0, -C8,  C2)
V9  = ( C0,  C8, -C2)
V10 = (-C0,  C8,  C2)
V11 = (-C0, -C8, -C2)
V12 = ( C0,  C2,  C8)
V13 = ( C0, -C2, -C8)
V14 = (-C0, -C2,  C8)
V15 = (-C0,  C2, -C8)
V16 = ( C8,  C0,  C2)
V17 = ( C8, -C0, -C2)
V18 = (-C8, -C0,  C2)
V19 = (-C8,  C0, -C2)
V20 = ( C2,  C8,  C0)
V21 = ( C2, -C8, -C0)
V22 = (-C2, -C8,  C0)
V23 = (-C2,  C8, -C0)
V24 = ( C4,  C3,  C7)
V25 = ( C4, -C3, -C7)
V26 = (-C4, -C3,  C7)
V27 = (-C4,  C3, -C7)
V28 = ( C7,  C4,  C3)
V29 = ( C7, -C4, -C3)
V30 = (-C7, -C4,  C3)
V31 = (-C7,  C4, -C3)
V32 = ( C3,  C7,  C4)
V33 = ( C3, -C7, -C4)
V34 = (-C3, -C7,  C4)
V35 = (-C3,  C7, -C4)
V36 = ( C3, -C4,  C7)
V37 = ( C3,  C4, -C7)
V38 = (-C3,  C4,  C7)
V39 = (-C3, -C4, -C7)
V40 = ( C7, -C3,  C4)
V41 = ( C7,  C3, -C4)
V42 = (-C7,  C3,  C4)
V43 = (-C7, -C3, -C4)
V44 = ( C4, -C7,  C3)
V45 = ( C4,  C7, -C3)
V46 = (-C4,  C7,  C3)
V47 = (-C4, -C7, -C3)
V48 = ( C5, -C1,  C6)
V49 = ( C5,  C1, -C6)
V50 = (-C5,  C1,  C6)
V51 = (-C5, -C1, -C6)
V52 = ( C6, -C5,  C1)
V53 = ( C6,  C5, -C1)
V54 = (-C6,  C5,  C1)
V55 = (-C6, -C5, -C1)
V56 = ( C1, -C6,  C5)
V57 = ( C1,  C6, -C5)
V58 = (-C1,  C6,  C5)
V59 = (-C1, -C6, -C5)
V60 = ( C1,  C5,  C6)
V61 = ( C1, -C5, -C6)
V62 = (-C1, -C5,  C6)
V63 = (-C1,  C5, -C6)
V64 = ( C6,  C1,  C5)
V65 = ( C6, -C1, -C5)
V66 = (-C6, -C1,  C5)
V67 = (-C6,  C1, -C5)
V68 = ( C5,  C6,  C1)
V69 = ( C5, -C6, -C1)
V70 = (-C5, -C6,  C1)
V71 = (-C5,  C6, -C1)

Faces:
{ 32, 60, 24, 64, 28, 68 }
{ 33, 61, 25, 65, 29, 69 }
{ 34, 62, 26, 66, 30, 70 }
{ 35, 63, 27, 67, 31, 71 }
{ 36, 56, 44, 52, 40, 48 }
{ 37, 57, 45, 53, 41, 49 }
{ 38, 58, 46, 54, 42, 50 }
{ 39, 59, 47, 55, 43, 51 }
{  2, 14,  0, 12 }
{  3, 15,  1, 13 }
{  4, 17,  5, 16 }
{  7, 18,  6, 19 }
{  8, 22, 11, 21 }
{  9, 23, 10, 20 }
{  0, 14, 36 }
{  1, 15, 37 }
{  2, 12, 38 }
{  3, 13, 39 }
{  4, 16, 40 }
{  5, 17, 41 }
{  6, 18, 42 }
{  7, 19, 43 }
{  8, 21, 44 }
{  9, 20, 45 }
{ 10, 23, 46 }
{ 11, 22, 47 }
{ 12,  0, 24 }
{ 13,  1, 25 }
{ 14,  2, 26 }
{ 15,  3, 27 }
{ 16,  5, 28 }
{ 17,  4, 29 }
{ 18,  7, 30 }
{ 19,  6, 31 }
{ 20, 10, 32 }
{ 21, 11, 33 }
{ 22,  8, 34 }
{ 23,  9, 35 }
{ 24,  0, 48 }
{ 25,  1, 49 }
{ 26,  2, 50 }
{ 27,  3, 51 }
{ 28,  5, 53 }
{ 29,  4, 52 }
{ 30,  7, 55 }
{ 31,  6, 54 }
{ 32, 10, 58 }
{ 33, 11, 59 }
{ 34,  8, 56 }
{ 35,  9, 57 }
{ 36, 14, 62 }
{ 37, 15, 63 }
{ 38, 12, 60 }
{ 39, 13, 61 }
{ 40, 16, 64 }
{ 41, 17, 65 }
{ 42, 18, 66 }
{ 43, 19, 67 }
{ 44, 21, 69 }
{ 45, 20, 68 }
{ 46, 23, 71 }
{ 47, 22, 70 }
{ 48, 64, 24 }
{ 49, 65, 25 }
{ 50, 66, 26 }
{ 51, 67, 27 }
{ 52, 69, 29 }
{ 53, 68, 28 }
{ 54, 71, 31 }
{ 55, 70, 30 }
{ 56, 62, 34 }
{ 57, 63, 35 }
{ 58, 60, 32 }
{ 59, 61, 33 }
{ 60, 58, 38 }
{ 61, 59, 39 }
{ 62, 56, 36 }
{ 63, 57, 37 }
{ 64, 48, 40 }
{ 65, 49, 41 }
{ 66, 50, 42 }
{ 67, 51, 43 }
{ 68, 53, 45 }
{ 69, 52, 44 }
{ 70, 55, 47 }
{ 71, 54, 46 }
{  0, 36, 48 }
{  1, 37, 49 }
{  2, 38, 50 }
{  3, 39, 51 }
{  4, 40, 52 }
{  5, 41, 53 }
{  6, 42, 54 }
{  7, 43, 55 }
{  8, 44, 56 }
{  9, 45, 57 }
{ 10, 46, 58 }
{ 11, 47, 59 }
{ 12, 24, 60 }
{ 13, 25, 61 }
{ 14, 26, 62 }
{ 15, 27, 63 }
{ 16, 28, 64 }
{ 17, 29, 65 }
{ 18, 30, 66 }
{ 19, 31, 67 }
{ 20, 32, 68 }
{ 21, 33, 69 }
{ 22, 34, 70 }
{ 23, 35, 71 }