Biscribed Propello Tetrakis Hexahedron with radius = 1

C0 = 0.00769468786170321118237494078344 = sqrt(root[44th-order polynomial])
C1 = 0.285641228432653766454188144414   = sqrt(root[44th-order polynomial])
C2 = 0.320826054237662997854990499314   = sqrt(root[44th-order polynomial])
C3 = 0.330297051851900644972693900297   = sqrt(root[44th-order polynomial])
C4 = 0.363629864228483054087835130188   = sqrt(root[44th-order polynomial])
C5 = 0.577350269189625764509148780502   = sqrt(3) / 3
C6 = 0.678431174837650155528429726103   = sqrt(root[44th-order polynomial])
C7 = 0.734623667456417254605504149510   = sqrt(root[44th-order polynomial])
C8 = 0.874553580270223981292551793273   = sqrt(root[44th-order polynomial])
C9 = 0.899618222446292695275875749990   = sqrt(root[44th-order polynomial])

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  = (  C3,   C1,   C9)
V7  = (  C3,  -C1,  -C9)
V8  = ( -C3,  -C1,   C9)
V9  = ( -C3,   C1,  -C9)
V10 = (  C9,   C3,   C1)
V11 = (  C9,  -C3,  -C1)
V12 = ( -C9,  -C3,   C1)
V13 = ( -C9,   C3,  -C1)
V14 = (  C1,   C9,   C3)
V15 = (  C1,  -C9,  -C3)
V16 = ( -C1,  -C9,   C3)
V17 = ( -C1,   C9,  -C3)
V18 = (  C1,  -C3,   C9)
V19 = (  C1,   C3,  -C9)
V20 = ( -C1,   C3,   C9)
V21 = ( -C1,  -C3,  -C9)
V22 = (  C9,  -C1,   C3)
V23 = (  C9,   C1,  -C3)
V24 = ( -C9,   C1,   C3)
V25 = ( -C9,  -C1,  -C3)
V26 = (  C3,  -C9,   C1)
V27 = (  C3,   C9,  -C1)
V28 = ( -C3,   C9,   C1)
V29 = ( -C3,  -C9,  -C1)
V30 = (  C4,  -C2,   C8)
V31 = (  C4,   C2,  -C8)
V32 = ( -C4,   C2,   C8)
V33 = ( -C4,  -C2,  -C8)
V34 = (  C8,  -C4,   C2)
V35 = (  C8,   C4,  -C2)
V36 = ( -C8,   C4,   C2)
V37 = ( -C8,  -C4,  -C2)
V38 = (  C2,  -C8,   C4)
V39 = (  C2,   C8,  -C4)
V40 = ( -C2,   C8,   C4)
V41 = ( -C2,  -C8,  -C4)
V42 = (  C2,   C4,   C8)
V43 = (  C2,  -C4,  -C8)
V44 = ( -C2,  -C4,   C8)
V45 = ( -C2,   C4,  -C8)
V46 = (  C8,   C2,   C4)
V47 = (  C8,  -C2,  -C4)
V48 = ( -C8,  -C2,   C4)
V49 = ( -C8,   C2,  -C4)
V50 = (  C4,   C8,   C2)
V51 = (  C4,  -C8,  -C2)
V52 = ( -C4,  -C8,   C2)
V53 = ( -C4,   C8,  -C2)
V54 = (  C6,   C0,   C7)
V55 = (  C6,  -C0,  -C7)
V56 = ( -C6,  -C0,   C7)
V57 = ( -C6,   C0,  -C7)
V58 = (  C7,   C6,   C0)
V59 = (  C7,  -C6,  -C0)
V60 = ( -C7,  -C6,   C0)
V61 = ( -C7,   C6,  -C0)
V62 = (  C0,   C7,   C6)
V63 = (  C0,  -C7,  -C6)
V64 = ( -C0,  -C7,   C6)
V65 = ( -C0,   C7,  -C6)
V66 = (  C0,  -C6,   C7)
V67 = (  C0,   C6,  -C7)
V68 = ( -C0,   C6,   C7)
V69 = ( -C0,  -C6,  -C7)
V70 = (  C7,  -C0,   C6)
V71 = (  C7,   C0,  -C6)
V72 = ( -C7,   C0,   C6)
V73 = ( -C7,  -C0,  -C6)
V74 = (  C6,  -C7,   C0)
V75 = (  C6,   C7,  -C0)
V76 = ( -C6,   C7,   C0)
V77 = ( -C6,  -C7,  -C0)
V78 = (  C5,   C5,   C5)
V79 = (  C5,   C5,  -C5)
V80 = (  C5,  -C5,   C5)
V81 = (  C5,  -C5,  -C5)
V82 = ( -C5,   C5,   C5)
V83 = ( -C5,   C5,  -C5)
V84 = ( -C5,  -C5,   C5)
V85 = ( -C5,  -C5,  -C5)

Faces:
{  0,  6, 42, 20 }
{  0, 20, 32,  8 }
{  0,  8, 44, 18 }
{  0, 18, 30,  6 }
{  1,  7, 43, 21 }
{  1, 21, 33,  9 }
{  1,  9, 45, 19 }
{  1, 19, 31,  7 }
{  2, 10, 46, 22 }
{  2, 22, 34, 11 }
{  2, 11, 47, 23 }
{  2, 23, 35, 10 }
{  3, 12, 48, 24 }
{  3, 24, 36, 13 }
{  3, 13, 49, 25 }
{  3, 25, 37, 12 }
{  4, 14, 50, 27 }
{  4, 27, 39, 17 }
{  4, 17, 53, 28 }
{  4, 28, 40, 14 }
{  5, 15, 51, 26 }
{  5, 26, 38, 16 }
{  5, 16, 52, 29 }
{  5, 29, 41, 15 }
{  6, 54, 78, 42 }
{  7, 55, 81, 43 }
{  8, 56, 84, 44 }
{  9, 57, 83, 45 }
{ 10, 58, 78, 46 }
{ 11, 59, 81, 47 }
{ 12, 60, 84, 48 }
{ 13, 61, 83, 49 }
{ 14, 62, 78, 50 }
{ 15, 63, 81, 51 }
{ 16, 64, 84, 52 }
{ 17, 65, 83, 53 }
{ 18, 66, 80, 30 }
{ 19, 67, 79, 31 }
{ 20, 68, 82, 32 }
{ 21, 69, 85, 33 }
{ 22, 70, 80, 34 }
{ 23, 71, 79, 35 }
{ 24, 72, 82, 36 }
{ 25, 73, 85, 37 }
{ 26, 74, 80, 38 }
{ 27, 75, 79, 39 }
{ 28, 76, 82, 40 }
{ 29, 77, 85, 41 }
{ 30, 80, 70, 54 }
{ 31, 79, 71, 55 }
{ 32, 82, 72, 56 }
{ 33, 85, 73, 57 }
{ 34, 80, 74, 59 }
{ 35, 79, 75, 58 }
{ 36, 82, 76, 61 }
{ 37, 85, 77, 60 }
{ 38, 80, 66, 64 }
{ 39, 79, 67, 65 }
{ 40, 82, 68, 62 }
{ 41, 85, 69, 63 }
{ 42, 78, 62, 68 }
{ 43, 81, 63, 69 }
{ 44, 84, 64, 66 }
{ 45, 83, 65, 67 }
{ 46, 78, 54, 70 }
{ 47, 81, 55, 71 }
{ 48, 84, 56, 72 }
{ 49, 83, 57, 73 }
{ 50, 78, 58, 75 }
{ 51, 81, 59, 74 }
{ 52, 84, 60, 77 }
{ 53, 83, 61, 76 }
{  6, 30, 54 }
{  7, 31, 55 }
{  8, 32, 56 }
{  9, 33, 57 }
{ 10, 35, 58 }
{ 11, 34, 59 }
{ 12, 37, 60 }
{ 13, 36, 61 }
{ 14, 40, 62 }
{ 15, 41, 63 }
{ 16, 38, 64 }
{ 17, 39, 65 }
{ 18, 44, 66 }
{ 19, 45, 67 }
{ 20, 42, 68 }
{ 21, 43, 69 }
{ 22, 46, 70 }
{ 23, 47, 71 }
{ 24, 48, 72 }
{ 25, 49, 73 }
{ 26, 51, 74 }
{ 27, 50, 75 }
{ 28, 53, 76 }
{ 29, 52, 77 }