Biscribed Dual Snub Truncated Octahedron with radius = 1

C0  = 0.000969229036226313044483412435841
C1  = 0.00781299425972730568630816509041
C2  = 0.3020200605450024960122957900948
C3  = 0.31385906420054719181049053734452
C4  = 0.319377395588526170539594433717
C5  = 0.350736603707633035244553329309
C6  = 0.577350269189625764509148780502 = sqrt(3) / 3
C7  = 0.59132459151810567549100095277496
C8  = 0.683267461092354578327007669298
C9  = 0.730126382027868645534622523837
C10 = 0.806433064836146708721625243514
C11 = 0.882313052515257519090911131334
C12 = 0.898210422014509410130352063110

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   = (  C4,   C2,  C12)
V7   = (  C4,  -C2, -C12)
V8   = ( -C4,  -C2,  C12)
V9   = ( -C4,   C2, -C12)
V10  = ( C12,   C4,   C2)
V11  = ( C12,  -C4,  -C2)
V12  = (-C12,  -C4,   C2)
V13  = (-C12,   C4,  -C2)
V14  = (  C2,  C12,   C4)
V15  = (  C2, -C12,  -C4)
V16  = ( -C2, -C12,   C4)
V17  = ( -C2,  C12,  -C4)
V18  = (  C2,  -C4,  C12)
V19  = (  C2,   C4, -C12)
V20  = ( -C2,   C4,  C12)
V21  = ( -C2,  -C4, -C12)
V22  = ( C12,  -C2,   C4)
V23  = ( C12,   C2,  -C4)
V24  = (-C12,   C2,   C4)
V25  = (-C12,  -C2,  -C4)
V26  = (  C4, -C12,   C2)
V27  = (  C4,  C12,  -C2)
V28  = ( -C4,  C12,   C2)
V29  = ( -C4, -C12,  -C2)
V30  = (  C7,   C0,  C10)
V31  = (  C7,  -C0, -C10)
V32  = ( -C7,  -C0,  C10)
V33  = ( -C7,   C0, -C10)
V34  = ( C10,  -C7,  -C0)
V35  = ( C10,   C7,   C0)
V36  = (-C10,   C7,  -C0)
V37  = (-C10,  -C7,   C0)
V38  = ( -C0, -C10,   C7)
V39  = ( -C0,  C10,  -C7)
V40  = (  C0,  C10,   C7)
V41  = (  C0, -C10,  -C7)
V42  = ( -C0,   C7,  C10)
V43  = ( -C0,  -C7, -C10)
V44  = (  C0,  -C7,  C10)
V45  = (  C0,   C7, -C10)
V46  = ( C10,  -C0,   C7)
V47  = ( C10,   C0,  -C7)
V48  = (-C10,   C0,   C7)
V49  = (-C10,  -C0,  -C7)
V50  = (  C7,  C10,  -C0)
V51  = (  C7, -C10,   C0)
V52  = ( -C7, -C10,  -C0)
V53  = ( -C7,  C10,   C0)
V54  = (  C5,  -C3,  C11)
V55  = (  C5,   C3, -C11)
V56  = ( -C5,   C3,  C11)
V57  = ( -C5,  -C3, -C11)
V58  = ( C11,  -C5,   C3)
V59  = ( C11,   C5,  -C3)
V60  = (-C11,   C5,   C3)
V61  = (-C11,  -C5,  -C3)
V62  = (  C3, -C11,   C5)
V63  = (  C3,  C11,  -C5)
V64  = ( -C3,  C11,   C5)
V65  = ( -C3, -C11,  -C5)
V66  = (  C3,   C5,  C11)
V67  = (  C3,  -C5, -C11)
V68  = ( -C3,  -C5,  C11)
V69  = ( -C3,   C5, -C11)
V70  = ( C11,   C3,   C5)
V71  = ( C11,  -C3,  -C5)
V72  = (-C11,  -C3,   C5)
V73  = (-C11,   C3,  -C5)
V74  = (  C5,  C11,   C3)
V75  = (  C5, -C11,  -C3)
V76  = ( -C5, -C11,   C3)
V77  = ( -C5,  C11,  -C3)
V78  = (  C8,   C1,   C9)
V79  = (  C8,  -C1,  -C9)
V80  = ( -C8,  -C1,   C9)
V81  = ( -C8,   C1,  -C9)
V82  = (  C9,   C8,   C1)
V83  = (  C9,  -C8,  -C1)
V84  = ( -C9,  -C8,   C1)
V85  = ( -C9,   C8,  -C1)
V86  = (  C1,   C9,   C8)
V87  = (  C1,  -C9,  -C8)
V88  = ( -C1,  -C9,   C8)
V89  = ( -C1,   C9,  -C8)
V90  = (  C1,  -C8,   C9)
V91  = (  C1,   C8,  -C9)
V92  = ( -C1,   C8,   C9)
V93  = ( -C1,  -C8,  -C9)
V94  = (  C9,  -C1,   C8)
V95  = (  C9,   C1,  -C8)
V96  = ( -C9,   C1,   C8)
V97  = ( -C9,  -C1,  -C8)
V98  = (  C8,  -C9,   C1)
V99  = (  C8,   C9,  -C1)
V100 = ( -C8,   C9,   C1)
V101 = ( -C8,  -C9,  -C1)
V102 = (  C6,   C6,   C6)
V103 = (  C6,   C6,  -C6)
V104 = (  C6,  -C6,   C6)
V105 = (  C6,  -C6,  -C6)
V106 = ( -C6,   C6,   C6)
V107 = ( -C6,   C6,  -C6)
V108 = ( -C6,  -C6,   C6)
V109 = ( -C6,  -C6,  -C6)

Faces:
{   0,   6,  66,  42,  20 }
{   0,  20,  56,  32,   8 }
{   0,   8,  68,  44,  18 }
{   0,  18,  54,  30,   6 }
{   1,   7,  67,  43,  21 }
{   1,  21,  57,  33,   9 }
{   1,   9,  69,  45,  19 }
{   1,  19,  55,  31,   7 }
{   2,  10,  70,  46,  22 }
{   2,  22,  58,  34,  11 }
{   2,  11,  71,  47,  23 }
{   2,  23,  59,  35,  10 }
{   3,  12,  72,  48,  24 }
{   3,  24,  60,  36,  13 }
{   3,  13,  73,  49,  25 }
{   3,  25,  61,  37,  12 }
{   4,  14,  74,  50,  27 }
{   4,  27,  63,  39,  17 }
{   4,  17,  77,  53,  28 }
{   4,  28,  64,  40,  14 }
{   5,  15,  75,  51,  26 }
{   5,  26,  62,  38,  16 }
{   5,  16,  76,  52,  29 }
{   5,  29,  65,  41,  15 }
{   6,  30,  78, 102,  66 }
{   7,  31,  79, 105,  67 }
{   8,  32,  80, 108,  68 }
{   9,  33,  81, 107,  69 }
{  10,  35,  82, 102,  70 }
{  11,  34,  83, 105,  71 }
{  12,  37,  84, 108,  72 }
{  13,  36,  85, 107,  73 }
{  14,  40,  86, 102,  74 }
{  15,  41,  87, 105,  75 }
{  16,  38,  88, 108,  76 }
{  17,  39,  89, 107,  77 }
{  18,  44,  90, 104,  54 }
{  19,  45,  91, 103,  55 }
{  20,  42,  92, 106,  56 }
{  21,  43,  93, 109,  57 }
{  22,  46,  94, 104,  58 }
{  23,  47,  95, 103,  59 }
{  24,  48,  96, 106,  60 }
{  25,  49,  97, 109,  61 }
{  26,  51,  98, 104,  62 }
{  27,  50,  99, 103,  63 }
{  28,  53, 100, 106,  64 }
{  29,  52, 101, 109,  65 }
{  30,  54, 104,  94,  78 }
{  31,  55, 103,  95,  79 }
{  32,  56, 106,  96,  80 }
{  33,  57, 109,  97,  81 }
{  34,  58, 104,  98,  83 }
{  35,  59, 103,  99,  82 }
{  36,  60, 106, 100,  85 }
{  37,  61, 109, 101,  84 }
{  38,  62, 104,  90,  88 }
{  39,  63, 103,  91,  89 }
{  40,  64, 106,  92,  86 }
{  41,  65, 109,  93,  87 }
{  42,  66, 102,  86,  92 }
{  43,  67, 105,  87,  93 }
{  44,  68, 108,  88,  90 }
{  45,  69, 107,  89,  91 }
{  46,  70, 102,  78,  94 }
{  47,  71, 105,  79,  95 }
{  48,  72, 108,  80,  96 }
{  49,  73, 107,  81,  97 }
{  50,  74, 102,  82,  99 }
{  51,  75, 105,  83,  98 }
{  52,  76, 108,  84, 101 }
{  53,  77, 107,  85, 100 }