Biscribed Tetrakis Snub Cube (laevo) with radius = 1

C0 = 0.195257470867588789802389149481
C1 = 0.572161683062672686355388355154
C2 = 0.796558553092792047161621888206

C0 = root of the polynomial:  3*(x^9) - 15*(x^8) - 11*(x^7) + 188*(x^6)
    - 182*(x^5) - 461*(x^4) + 1104*(x^3) - 912*(x^2) + 324*x - 36
C1 = root of the polynomial:  3*(x^9) + 3*(x^8) + 61*(x^7) - 62*(x^6)
    + 290*(x^5) + (x^4) + 28*(x^3) - 208*(x^2) + 192*x - 64
C2 = root of the polynomial:  3*(x^9) - 15*(x^8) + 13*(x^7) + 12*(x^6)
    - 13*(x^5) + 42*(x^4) + 91*(x^3) + 12*(x^2) - 54*x - 27

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  = (  C1,   C0,   C2)
V7  = (  C1,  -C0,  -C2)
V8  = ( -C1,  -C0,   C2)
V9  = ( -C1,   C0,  -C2)
V10 = (  C2,   C1,   C0)
V11 = (  C2,  -C1,  -C0)
V12 = ( -C2,  -C1,   C0)
V13 = ( -C2,   C1,  -C0)
V14 = (  C0,   C2,   C1)
V15 = (  C0,  -C2,  -C1)
V16 = ( -C0,  -C2,   C1)
V17 = ( -C0,   C2,  -C1)
V18 = (  C0,  -C1,   C2)
V19 = (  C0,   C1,  -C2)
V20 = ( -C0,   C1,   C2)
V21 = ( -C0,  -C1,  -C2)
V22 = (  C2,  -C0,   C1)
V23 = (  C2,   C0,  -C1)
V24 = ( -C2,   C0,   C1)
V25 = ( -C2,  -C0,  -C1)
V26 = (  C1,  -C2,   C0)
V27 = (  C1,   C2,  -C0)
V28 = ( -C1,   C2,   C0)
V29 = ( -C1,  -C2,  -C0)

Faces:
{  0,  6, 20 }
{  0, 20,  8 }
{  0,  8, 18 }
{  0, 18,  6 }
{  1,  7, 21 }
{  1, 21,  9 }
{  1,  9, 19 }
{  1, 19,  7 }
{  2, 10, 22 }
{  2, 22, 11 }
{  2, 11, 23 }
{  2, 23, 10 }
{  3, 12, 24 }
{  3, 24, 13 }
{  3, 13, 25 }
{  3, 25, 12 }
{  4, 14, 27 }
{  4, 27, 17 }
{  4, 17, 28 }
{  4, 28, 14 }
{  5, 15, 26 }
{  5, 26, 16 }
{  5, 16, 29 }
{  5, 29, 15 }
{  6, 18, 22 }
{  7, 19, 23 }
{  8, 20, 24 }
{  9, 21, 25 }
{ 10, 23, 27 }
{ 11, 22, 26 }
{ 12, 25, 29 }
{ 13, 24, 28 }
{ 14, 28, 20 }
{ 15, 29, 21 }
{ 16, 26, 18 }
{ 17, 27, 19 }
{ 18,  8, 16 }
{ 19,  9, 17 }
{ 20,  6, 14 }
{ 21,  7, 15 }
{ 22, 10,  6 }
{ 23, 11,  7 }
{ 24, 12,  8 }
{ 25, 13,  9 }
{ 26, 15, 11 }
{ 27, 14, 10 }
{ 28, 17, 13 }
{ 29, 16, 12 }
{ 14,  6, 10 }
{ 15,  7, 11 }
{ 16,  8, 12 }
{ 17,  9, 13 }
{ 18, 26, 22 }
{ 19, 27, 23 }
{ 20, 28, 24 }
{ 21, 29, 25 }