Self-Dual Hendecahedron #3 (canonical)

C0 = 0.0779126002971256198886547461624  = sqrt(37 * sqrt(5) - 82) / 11
C1 = 0.236067977499789696409173668731   = sqrt(5) - 2
C2 = 0.330043071162394438405554383570   = sqrt(2 + 5 * sqrt(5)) / 11
C3 = 0.358570173636287162330608606811   = (4 * sqrt(5) - 5) / 11
C4 = 0.42398568894741269549280554342499 = (17 - 4 * sqrt(5)) / 19
C5 = 0.481072369772784628252043544891   = 3 * (4 - sqrt(5)) / 11
C6 = 0.48586827175664567818286387589453 = sqrt(sqrt(5) - 2)
C7 = 0.872635060969307765271914417087   = sqrt(58 + 97 * sqrt(5)) / 19
C8 = 0.990129213487183315216663150709   = 3 * sqrt(2 + 5 * sqrt(5)) / 11
C9 = 1.08643448375820089395625329579    = sqrt(5 * (sqrt(5) - 2))

V0  = ( C6,  C6, -1.0)
V1  = ( C6, -C6,  1.0)
V2  = (-C6,  C6,  1.0)
V3  = (-C2, -C2, -1.0)
V4  = (-C8,  C0,  -C5)
V5  = ( C0, -C8,  -C5)
V6  = ( C7,  C7,   C4)
V7  = (-C8, -C2,   C3)
V8  = (-C2, -C8,   C3)
V9  = ( C9, -C6,  -C1)
V10 = (-C6,  C9,  -C1)

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