Regular Tetragonal Toroid with 18 faces (type A) (version 1)

C0 = 1.55051025721682190180271592529 = 4 - sqrt(6)
C1 = 3.55051025721682190180271592529 = 6 - sqrt(6)
C2 = 4.10102051443364380360543185059 = 9 - 2 * sqrt(6)
C3 = 6.10102051443364380360543185059 = 11 - 2 * sqrt(6)
C4 = 6.44948974278317809819728407471 = 4 + sqrt(6)
C5 = 8.44948974278317809819728407471 = 6 + sqrt(6)
C6 = 13.8989794855663561963945681494 = 9 + 2 * sqrt(6)
C7 = 15.8989794855663561963945681494 = 11 + 2 * sqrt(6)

V0  = ( -C4,  -C4,   C7)
V1  = (  C7,  -C4,  -C4)
V2  = ( -C4,   C7,  -C4)
V3  = ( -C5,  -C5,   C6)
V4  = (  C6,  -C5,  -C5)
V5  = ( -C5,   C6,  -C5)
V6  = (-3.0, -3.0, 12.0)
V7  = (12.0, -3.0, -3.0)
V8  = (-3.0, 12.0, -3.0)
V9  = (-7.0, -7.0,  8.0)
V10 = ( 8.0, -7.0, -7.0)
V11 = (-7.0,  8.0, -7.0)
V12 = ( -C0,  -C0,   C3)
V13 = (  C3,  -C0,  -C0)
V14 = ( -C0,   C3,  -C0)
V15 = ( -C1,  -C1,   C2)
V16 = (  C2,  -C1,  -C1)
V17 = ( -C1,   C2,  -C1)

Faces:
{  0,  3,  4,  1 }
{  0,  1,  7,  6 }
{  1,  4,  5,  2 }
{  1,  2,  8,  7 }
{  2,  5,  3,  0 }
{  2,  0,  6,  8 }
{  9, 15, 16, 10 }
{  9, 10,  4,  3 }
{ 10, 16, 17, 11 }
{ 10, 11,  5,  4 }
{ 11, 17, 15,  9 }
{ 11,  9,  3,  5 }
{ 12,  6,  7, 13 }
{ 12, 13, 16, 15 }
{ 13,  7,  8, 14 }
{ 13, 14, 17, 16 }
{ 14,  8,  6, 12 }
{ 14, 12, 15, 17 }