Regular Tetragonal Toroid with 9 faces

C0 = 0.577350269189625764509148780502  = sqrt(3) / 3
C1 = 1.15470053837925152901829756100   = 2 * sqrt(3) / 3
C2 = 1.4433756729740644112728719512549 = 5 * sqrt(3) / 6
C3 = 2.88675134594812882254574390251   = 5 * sqrt(3) / 3

V0 = ( 0.0,  C1,  1.0)
V1 = ( 0.0,  C1, -1.0)
V2 = (-1.0, -C0,  1.0)
V3 = (-1.0, -C0, -1.0)
V4 = ( 1.0, -C0,  1.0)
V5 = ( 1.0, -C0, -1.0)
V6 = (-2.5, -C2,  0.0)
V7 = ( 2.5, -C2,  0.0)
V8 = ( 0.0,  C3,  0.0)

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