Self-Dual Pentahedron (canonical)

C0 = 0.414213562373095048801688724210 = sqrt(2) - 1
C1 = 1.28718850581116524947088687484  = 2 * sqrt(sqrt(2) - 1)
C2 = 2.41421356237309504880168872421  = 1 + sqrt(2)

V0 = ( C1, 0.0, -C0)
V1 = (-C1, 0.0, -C0)
V2 = (0.0,  C1, -C0)
V3 = (0.0, -C1, -C0)
V4 = (0.0, 0.0,  C2)

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