Self-Dual Tridecahedron #131 (canonical)

C0 = 0.142857142857142857142857142857  = 1 / 7
C1 = 0.263157894736842105263157894737  = 5 / 19
C2 = 0.333333333333333333333333333333  = 1 / 3
C3 = 0.368421052631578947368421052632  = 7 / 19
C4 = 0.3846153846153846153846153846154 = 5 / 13
C5 = 0.555555555555555555555555555556  = 5 / 9
C6 = 0.777777777777777777777777777778  = 7 / 9
C7 = 0.846153846153846153846153846154  = 11 / 13
C8 = 0.8947368421052631578947368421053 = 17 / 19

V0  = ( 1.0,  1.0, -1.0)
V1  = ( 1.0, -1.0,  1.0)
V2  = (-1.0,  1.0,  1.0)
V3  = ( -C0,  -C0, -1.0)
V4  = (0.28, 0.28, 0.92)
V5  = ( -C3,  -C1,  -C8)
V6  = ( -C1,  -C3,  -C8)
V7  = (  C4,   C4,   C7)
V8  = ( -C5,  -C2,  -C6)
V9  = ( -C2,  -C5,  -C6)
V10 = ( 0.6,  0.6,  0.6)
V11 = (-1.0,  -C2,  -C2)
V12 = ( -C2, -1.0,  -C2)

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