Cairo-Tiling Toroid with 8 overarching faces (version 1)

V0  = ( 6,  6,  6)
V1  = ( 6, -6, -6)
V2  = (-6, -6,  6)
V3  = (-6,  6, -6)
V4  = ( 4,  0, -2)
V5  = (-4,  0, -2)
V6  = ( 0,  4, -2)
V7  = ( 0, -4, -2)
V8  = ( 1, -1,  2)
V9  = (-1,  1,  2)
V10 = ( 1,  1,  0)
V11 = (-1, -1,  0)

Faces:
{  4,  0,  2,  7,  8 }
{  4,  8,  9,  6, 10 }
{  4, 10, 11,  7,  1 }
{  4,  1,  3,  6,  0 }
{  5,  2,  0,  6,  9 }
{  5,  9,  8,  7, 11 }
{  5, 11, 10,  6,  3 }
{  5,  3,  1,  7,  2 }