Self-Dual Tridecahedron #3 (canonical)

C0 = 0.267949192431122706472553658494  = 2 - sqrt(3)
C1 = 0.424803627531680035781651604161  = sqrt(2 * (14 * sqrt(3) - 9)) / 13
C2 = 0.556238327300899913488031151142  = sqrt(6 * (2 * sqrt(3) - 3)) / 3
C3 = 0.6772190444071821630321277673448 = (14 - 3 * sqrt(3)) / 13
C4 = 0.735781466124434961952262066478  = sqrt(6 * (14 * sqrt(3) - 9)) / 13
C5 = 0.849607255063360071563303208322  = 2 * sqrt(2 * (14 * sqrt(3) - 9)) / 13
C6 = 0.963433044002285181174344350167  = sqrt(2 * (2 * sqrt(3) - 3))
C7 = 1.11247665460179982697606230228   = 2 * sqrt(6 * (2 * sqrt(3) - 3)) / 3
C8 = 1.476627109438971683121718386501  = (14 + 3 * sqrt(3)) / 13

V0  = ( C5, 0.0, -C3)
V1  = (-C5, 0.0, -C3)
V2  = ( C1,  C4, -C3)
V3  = ( C1, -C4, -C3)
V4  = (-C1,  C4, -C3)
V5  = (-C1, -C4, -C3)
V6  = ( C7, 0.0,  C0)
V7  = (-C7, 0.0,  C0)
V8  = ( C2,  C6,  C0)
V9  = ( C2, -C6,  C0)
V10 = (-C2,  C6,  C0)
V11 = (-C2, -C6,  C0)
V12 = (0.0, 0.0,  C8)

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