Self-Dual Dodecahedron #51 (canonical)

C0  = 0.0338286611750166494349615953200
C1  = 0.1510349434887197576837672893049
C2  = 0.283498409662563108987262761041
C3  = 0.449135069653404828952001641327
C4  = 0.532754111984228232200585962523
C5  = 0.609965461575346092180581904818
C6  = 0.655799052106583438935106258541
C7  = 0.702430656240309148264731082214
C8  = 0.763301178235145992402084518299
C9  = 0.766134793267484422622264347979
C10 = 0.859070687929318483661663976123
C11 = 3.52735664792709158675573582308

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

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