Self-Dual Hexadecahedron #97 (canonical)

C0 = 0.333333333333333333333333333333 = 1 / 3
C1 = 0.489897948556635619639456814941 = sqrt(6) / 5
C2 = 0.544331053951817355154952016601 = 2 * sqrt(6) / 9
C3 = 0.612372435695794524549321018676 = sqrt(6) / 4
C4 = 0.653197264742180826185942419922 = 4 * sqrt(6) / 15
C5 = 0.816496580927726032732428024902 = sqrt(6) / 3
C6 = 1.08866210790363471030990403320  = 4 * sqrt(6) / 9
C7 = 1.224744871391589049098642037353 = sqrt(6) / 2

V0  = (0.0,   C0,  C6)
V1  = (0.0,  -C0, -C6)
V2  = ( C3,  0.0,  C5)
V3  = ( C3,  0.0, -C5)
V4  = (-C3,  0.0,  C5)
V5  = (-C3,  0.0, -C5)
V6  = ( C1,  0.6,  C4)
V7  = (-C1, -0.6, -C4)
V8  = ( C5,   C0,  C2)
V9  = ( C5,   C0, -C2)
V10 = (-C5,  -C0,  C2)
V11 = (-C5,  -C0, -C2)
V12 = ( C7, -1.0, 0.0)
V13 = (-C7,  1.0, 0.0)
V14 = ( C3,  1.0, 0.0)
V15 = (-C3, -1.0, 0.0)

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