Associahedron (canonical)

C0 = 0.210132999037012560241033429047    = (3 * sqrt(6) - 4 * sqrt(3)) / 2
C1 = 0.866025403784438646763723170753    = sqrt(3) / 2
C2 = 0.878679656440357426797466913685453 = 3 * (2 - sqrt(2)) / 2
C3 = 1.24264068711928514640506617263     = 3 * (sqrt(2) - 1)
C4 = 1.73205080756887729352744634151     = sqrt(3)
C5 = 1.942183806605889853768479770553    = (3 * sqrt(6) - 2 * sqrt(3)) / 2
C6 = 2.12132034355964257320253308631     = 3 * sqrt(2) / 2
C7 = 2.24264068711928514640506617263     = 3 * sqrt(2) - 2

V0  = ( 0.0, 0.0,  C7)
V1  = ( 0.0, 0.0, -C7)
V2  = ( 0.0,  C4,  C3)
V3  = ( 0.0,  C4, -C3)
V4  = ( 1.5, -C1,  C3)
V5  = ( 1.5, -C1, -C3)
V6  = (-1.5, -C1,  C3)
V7  = (-1.5, -C1, -C3)
V8  = (  C6,  C0, 0.0)
V9  = ( -C6,  C0, 0.0)
V10 = (  C3,  C4, 0.0)
V11 = ( -C3,  C4, 0.0)
V12 = (  C2, -C5, 0.0)
V13 = ( -C2, -C5, 0.0)

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