Stewart's G3

C0 = 0.140695411754339751746677742908  = (183 - 31 * sqrt(5)) / 808
C1 = 0.359304588245660248253322257092  = (221 + 31 * sqrt(5)) / 808
C2 = 0.449712406129287175848971160090  = 19 * (9 * sqrt(5) - 1) / 808
C3 = 0.6683215826206076723556156742752 = (19 + 233 * sqrt(5)) / 808
C4 = 0.859304588245660248253322257092  = (625 + 31 * sqrt(5)) / 808
C5 = 0.949712406129287175848971160090  = (385 + 171 * sqrt(5)) / 808
C6 = 1.16832158262060767235561567428   = (423 + 233 * sqrt(5)) / 808

V0  = (-C2,  C6,  C2)
V1  = (-C2, -C2, -C6)
V2  = ( C6, -C2,  C2)
V3  = ( C1, -C5, -C4)
V4  = ( C4,  C1,  C5)
V5  = (-C5,  C4, -C1)
V6  = (-C0,  C1,  C5)
V7  = (-C5, -C0, -C1)
V8  = ( C1, -C5,  C0)
V9  = ( C3, -C0, -C1)
V10 = ( C1,  C3,  C0)
V11 = (-C0,  C1, -C3)
V12 = (-C2, -C2,  C2)

Faces:
{ 12,  6,  0,  5,  7 }
{ 12,  7,  1,  3,  8 }
{ 12,  8,  2,  4,  6 }
{  0, 10, 11,  5 }
{  1, 11,  9,  3 }
{  2,  9, 10,  4 }
{  0,  6, 10 }
{  1,  7, 11 }
{  2,  8,  9 }
{  3,  9,  8 }
{  4, 10,  6 }
{  5, 11,  7 }
{  9, 11, 10 }