Elongated Triangular Dipyramid

C0 = 0.866025403784438646763723170753 = sqrt(3) / 2
C1 = 1.01036297108184508789101036588  = 7 * sqrt(3) / 12

V0 = ( C0, -0.5,  C0)
V1 = ( C0, -0.5, -C0)
V2 = (-C0, -0.5,  C0)
V3 = (-C0, -0.5, -C0)
V4 = (0.0,  1.0,  C0)
V5 = (0.0,  1.0, -C0)
V6 = (0.0,  0.0,  C1)
V7 = (0.0,  0.0, -C1)

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