Self-Dual Tridecahedron #2 (canonical)

C0 = 0.0944949536696106662274635204181 = (6 - sqrt(21)) / 15
C1 = 0.218217890235992381266097485416  = sqrt(21) / 21
C2 = 0.622020185321557335090145918327  = (4 * sqrt(21) - 9) / 15
C3 = 0.654653670707977143798292456247  = sqrt(21) / 7
C4 = 0.811010092660778667545072959164  = (3 + 2 * sqrt(21)) / 15
C5 = 1.09108945117996190633048742708   = 5 * sqrt(21) / 21
C6 = 1.52752523165194666886268239791   = sqrt(21) / 3

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

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