Geodesic Cube Pattern 6 [3,1]

C0 = 0.150759968286072637891665565260
C1 = 0.299283146685370174015872480259
C2 = 0.468751303913941846771131749668
C3 = 0.581410987576762971918589193929
C4 = 0.583063946019124471221210293972
C5 = 0.790165702394707541452101327574
C6 = 0.904478344499890165902179871878
C7 = 1.03403527301056091070209573570

V0  = (0.0, 0.0,  C7)
V1  = (0.0, 0.0, -C7)
V2  = ( C7, 0.0, 0.0)
V3  = (-C7, 0.0, 0.0)
V4  = (0.0,  C7, 0.0)
V5  = (0.0, -C7, 0.0)
V6  = ( C2, -C0,  C6)
V7  = ( C2,  C0, -C6)
V8  = (-C2,  C0,  C6)
V9  = (-C2, -C0, -C6)
V10 = ( C6, -C2,  C0)
V11 = ( C6,  C2, -C0)
V12 = (-C6,  C2,  C0)
V13 = (-C6, -C2, -C0)
V14 = ( C0, -C6,  C2)
V15 = ( C0,  C6, -C2)
V16 = (-C0,  C6,  C2)
V17 = (-C0, -C6, -C2)
V18 = ( C0,  C2,  C6)
V19 = ( C0, -C2, -C6)
V20 = (-C0, -C2,  C6)
V21 = (-C0,  C2, -C6)
V22 = ( C6,  C0,  C2)
V23 = ( C6, -C0, -C2)
V24 = (-C6, -C0,  C2)
V25 = (-C6,  C0, -C2)
V26 = ( C2,  C6,  C0)
V27 = ( C2, -C6, -C0)
V28 = (-C2, -C6,  C0)
V29 = (-C2,  C6, -C0)
V30 = ( C4,  C1,  C5)
V31 = ( C4, -C1, -C5)
V32 = (-C4, -C1,  C5)
V33 = (-C4,  C1, -C5)
V34 = ( C5,  C4,  C1)
V35 = ( C5, -C4, -C1)
V36 = (-C5, -C4,  C1)
V37 = (-C5,  C4, -C1)
V38 = ( C1,  C5,  C4)
V39 = ( C1, -C5, -C4)
V40 = (-C1, -C5,  C4)
V41 = (-C1,  C5, -C4)
V42 = ( C1, -C4,  C5)
V43 = ( C1,  C4, -C5)
V44 = (-C1,  C4,  C5)
V45 = (-C1, -C4, -C5)
V46 = ( C5, -C1,  C4)
V47 = ( C5,  C1, -C4)
V48 = (-C5,  C1,  C4)
V49 = (-C5, -C1, -C4)
V50 = ( C4, -C5,  C1)
V51 = ( C4,  C5, -C1)
V52 = (-C4,  C5,  C1)
V53 = (-C4, -C5, -C1)
V54 = ( C3,  C3,  C3)
V55 = ( C3,  C3, -C3)
V56 = ( C3, -C3,  C3)
V57 = ( C3, -C3, -C3)
V58 = (-C3,  C3,  C3)
V59 = (-C3,  C3, -C3)
V60 = (-C3, -C3,  C3)
V61 = (-C3, -C3, -C3)

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