Self-Dual Tetradecahedron #294 (canonical)

C0  = 0.333333333333333333333333333333  = 1 / 3
C1  = 0.3846153846153846153846153846154 = 5 / 13
C2  = 0.432206563808186391285393825397  = (9 + 8 * sqrt(2)) / 47
C3  = 0.477592250072517114970463586166  = (9 - 4 * sqrt(2)) / 7
C4  = 0.488317481289136243369429350872  = (57 + 7 * sqrt(2)) / 137
C5  = 0.554097093777193918113923844812  = 3 * (4 - sqrt(2)) / 14
C6  = 0.555555555555555555555555555556  = 5 / 9
C7  = 0.630601937481870721257384103459  = (3 + sqrt(2)) / 7
C8  = 0.641948359047953402178651543651  = (33 - 2 * sqrt(2)) / 47
C9  = 0.727637164240987150434937884718  = (111 - 8 * sqrt(2)) / 137
C10 = 0.777777777777777777777777777778  = 7 / 9
C11 = 0.846153846153846153846153846154  = 11 / 13

V0  = ( 1.0,  1.0, -1.0)
V1  = ( 1.0, -1.0,  1.0)
V2  = (-1.0,  1.0,  1.0)
V3  = (-0.2, -0.2, -1.0)
V4  = (  C1,   C1,  C11)
V5  = ( -C6,  -C0, -C10)
V6  = ( -C0,  -C6, -C10)
V7  = (  C4,   C4,   C9)
V8  = (  C8,   C2,   C8)
V9  = (  C2,   C8,   C8)
V10 = ( -C5,  -C5,  -C7)
V11 = (  C7,   C7,   C3)
V12 = (-1.0,  -C0,  -C0)
V13 = ( -C0, -1.0,  -C0)

Faces:
{  0,  1, 13,  6,  3 }
{  0,  3,  5, 12,  2 }
{  1,  0, 11,  8 }
{  1,  2, 12, 13 }
{  1,  8,  7,  4 }
{  9,  2,  4,  7 }
{  9,  7,  8, 11 }
{  9, 11,  0,  2 }
{ 10,  5,  6 }
{ 10,  6, 13 }
{ 10, 12,  5 }
{ 10, 13, 12 }
{  1,  4,  2 }
{  3,  6,  5 }
