Self-Dual Heptahedron #2 (canonical)

C0 = 0.3665631459994952713820168049551 = (12 * sqrt(5) - 25) / 5
C1 = 0.548572407257731618367220544779  = 3 * (5 * sqrt(3) - 2 * sqrt(15)) / 5
C2 = 0.577350269189625764509148780502  = sqrt(3) / 3
C3 = 0.658359213500126182154495798761  = (10 - 3 * sqrt(5)) / 5
C4 = 0.774596669241483377035853079956  = sqrt(15) / 5
C5 = 1.03923048454132637611646780490   = 3 * sqrt(3) / 5

V0 = ( C4, -C4,  1.0)
V1 = (-C4,  C4,  1.0)
V2 = ( C4, -C1,  -C3)
V3 = (-C1,  C4,  -C3)
V4 = (-C4, -C4,   C0)
V5 = ( C5,  C5, -0.2)
V6 = (-C2, -C2, -1.0)

Faces:
{ 6, 2, 0, 4 }
{ 6, 4, 1, 3 }
{ 6, 3, 5, 2 }
{ 2, 5, 0 }
{ 4, 0, 1 }
{ 3, 1, 5 }
{ 0, 5, 1 }
