Regular Hexagonal Toroid with 15 faces (type A) (version 1)

C0 = 0.236067977499789696409173668731 = sqrt(5) - 2
C1 = 0.381966011250105151795413165634 = (3 - sqrt(5)) / 2
C2 = 0.618033988749894848204586834366 = (sqrt(5) - 1) / 2
C3 = 1.23606797749978969640917366873  = sqrt(5) - 1
C4 = 1.38196601125010515179541316563  = (5 - sqrt(5)) / 2
C5 = 1.61803398874989484820458683437  = (1 + sqrt(5)) / 2

V0  = (  C2,   C5,  0.0)
V1  = ( 1.0,  1.0,  1.0)
V2  = (  C1,   C3,   C2)
V3  = ( -C1,   C3,  -C2)
V4  = (-1.0,  1.0, -1.0)
V5  = ( -C2,   C5,  0.0)
V6  = (-1.0,  1.0,  1.0)
V7  = ( 0.0,   C2,   C5)
V8  = ( -C2,   C1,   C3)
V9  = ( -C4,   C1,  0.0)
V10 = ( -C5,  0.0,  -C2)
V11 = ( -C5,  0.0,   C2)
V12 = (-1.0, -1.0,  1.0)
V13 = ( 0.0,  -C2,   C5)
V14 = ( -C0, -1.0,  1.0)
V15 = (-1.0, -1.0,  -C0)
V16 = (-1.0, -1.0, -1.0)
V17 = ( -C2,  -C5,  0.0)
V18 = (  C2,  -C5,  0.0)
V19 = ( 1.0, -1.0,  1.0)
V20 = ( 1.0, -1.0,   C0)
V21 = (  C0, -1.0, -1.0)
V22 = ( 0.0,  -C2,  -C5)
V23 = ( 1.0, -1.0, -1.0)
V24 = (  C5,  0.0,  -C2)
V25 = (  C5,  0.0,   C2)
V26 = (  C4,   C1,  0.0)
V27 = (  C2,   C1,  -C3)
V28 = ( 0.0,   C2,  -C5)
V29 = ( 1.0,  1.0, -1.0)

Faces:
{  0,  1, 26, 25, 24, 29 }
{  2,  3, 28, 27, 26,  1 }
{  4,  5,  0, 29, 28,  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 }
{ 26, 27, 22, 21, 20, 25 }
{ 28, 29, 24, 23, 22, 27 }