Self-Dual Dodecahedron #4 (canonical)

C0 = 0.160656359372338841548782163004
C1 = 0.240914852509307669009115512698
C2 = 0.352782004229199174457928721104
C3 = 0.455398397441956548343724481612
C4 = 0.529019983079790733831493201248
C5 = 0.574055347173778660902251039622

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

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