Greater Self-Dual Solids

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Self-Dual Tetracontahedron #2 (canonical)
Vertices:  40  (12[3] + 12[3] + 12[5] + 4[6])
Faces:40  (12 acute triangles + 12 obtuse triangles
    + 12 irregular pentagons + 4 triambi)
Edges:78  (6 different lengths)
Symmetry:  Chiral Tetrahedral  (T)
(values below based on edge-scribed radius = 1)
Edge 1 (12):  sqrt(root[11th-order polynomial])    ≈0.22816408904191372430
Edge 2 (12):  sqrt(root[11th-order polynomial])    ≈0.50778344217492707784
Edge 3 (24):  sqrt(root[11th-order polynomial])    ≈0.55584816601112080128
Edge 4 (12):  sqrt(root[11th-order polynomial])    ≈0.59300343056001754143
Edge 5 (6):  sqrt(root[11th-order polynomial])    ≈0.83546751914413415482
Edge 6 (12):  sqrt(root[11th-order polynomial])    ≈0.92068750752922461841
Max Vertex Radius:  sqrt(root[11th-order polynomial])    ≈1.1193580627235200977
Edge-scribed Radius:  1
Volume:root[11th-order polynomial]    ≈3.89995650980664923948