Regular Hexagonal Toroid with 13 faces (type A)

C0  = 1.76288659793814432989690721649  = 171 / 97
C1  = 1.76470588235294117647058823529  = 30 / 17
C2  = 2.30769230769230769230769230769  = 30 / 13
C3  = 4.24137931034482758620689655172  = 123 / 29
C4  = 5.37931034482758620689655172414  = 156 / 29
C5  = 5.64705882352941176470588235294  = 96 / 17
C6  = 6.1875                           = 99 / 16
C7  = 6.30927835051546391752577319588  = 612 / 97
C8  = 8.53608247422680412371134020619  = 828 / 97
C9  = 9.882352941176470588235294117647 = 168 / 17
C10 = 11.0769230769230769230769230769  = 144 / 13
C11 = 19.3846153846153846153846153846  = 252 / 13

V0  = (-4.5,  -6.0,  0.75)
V1  = ( 1.0,  -6.0,  -2.0)
V2  = (-3.0,  -6.0,  -6.0)
V3  = (-4.5,  -4.5,  -9.0)
V4  = (-4.5, -8.25,   6.0)
V5  = (-4.5,  -6.0,   6.0)
V6  = ( 3.0,  -6.0,   6.0)
V7  = ( 3.0,  -6.0, -18.0)
V8  = ( 3.0, -14.0,  14.0)
V9  = (-9.0,  -6.0,   6.0)
V10 = (-3.0,   6.0,   6.0)
V11 = ( 3.0,   6.0,   6.0)
V12 = ( 3.0,   6.0,  -3.0)
V13 = ( 3.0,  15.6,   6.6)
V14 = ( -C1,    C9,    C5)
V15 = ( -C3,   6.0,    C4)
V16 = ( 0.5,   6.0,  -6.0)
V17 = ( 6.0,   6.0,  -6.0)
V18 = ( 8.0,   8.0,  -6.0)
V19 = (  C2,   C11,   C10)
V20 = (  C0,    C7,   -C8)
V21 = (-0.9,   3.9,  -6.0)
V22 = ( 3.0,   0.0,  -6.0)
V23 = (11.0,   8.0,  -6.0)
V24 = (-4.5,   1.8, -15.3)
V25 = (-4.5, 7.875,   -C6)

Faces:
{  0,  1, 22, 21, 20, 25 }
{  2,  3, 24, 23, 22,  1 }
{  4,  5,  0, 25, 24,  3 }
{  6,  7,  2,  1,  0,  5 }
{  8,  9,  4,  3,  2,  7 }
{ 10, 11,  6,  5,  4,  9 }
{ 12, 13,  8,  7,  6, 11 }
{ 14, 15, 10,  9,  8, 13 }
{ 16, 17, 12, 11, 10, 15 }
{ 18, 19, 14, 13, 12, 17 }
{ 20, 21, 16, 15, 14, 19 }
{ 22, 23, 18, 17, 16, 21 }
{ 24, 25, 20, 19, 18, 23 }