Self-Dual Enneahedron #4 (canonical)

C0 = 0.133556514481482918875991268368 = (11 * sqrt(3) - 13 * sqrt(2)) / 5
C1 = 0.274865373681729373290056160211 = sqrt(2 * (11 * sqrt(6) - 26)) / 5
C2 = 0.317837245195782244725757617296 = sqrt(3) - sqrt(2)
C3 = 0.670439962101885822691237007319 = sqrt(sqrt(6) - 1)
C4 = 0.948145287161390786604480144092 = sqrt(2 * (sqrt(6) - 2))
C5 = 0.971795848218626153320593023798 = sqrt(11 * sqrt(6) - 26)
C6 = 1.00565994315282873403685551098  = 3 * sqrt(sqrt(6) - 2) / 2
C7 = 3.14626436994197234232913506572  = sqrt(2) + sqrt(3)

V0 = ( C6, 0.0, -C2)
V1 = (-C6, 0.0, -C2)
V2 = ( C3,  C4, -C2)
V3 = ( C3, -C4, -C2)
V4 = (-C3,  C4, -C2)
V5 = (-C3, -C4, -C2)
V6 = ( C5,  C1,  C0)
V7 = (-C5, -C1,  C0)
V8 = (0.0, 0.0,  C7)

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