Derived Solids

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Pyritohedrally Expanded Dodecahedron (canonical)
canonical form
Vertices:  48  (12[5] + 24[5] + 12[4])
Faces:68  (8 equilateral triangles + 24 isosceles triangles
    + {12 * 2} scalene triangles
    + 12 mirror-symmetric pentagons)
Edges:114  (5 different lengths)
Symmetry:  Pyritohedral  (Th)
(values below based on edge-scribed radius = 1)
Edge 1 (6):  root[14th-order polynomial]    ≈0.50190500831307076227
Edge 2 (12):  root[14th-order polynomial]    ≈0.51902154234062707574
Edge 3 (24):  root[14th-order polynomial]    ≈0.52054155988869499677
Edge 4 (48):  root[14th-order polynomial]    ≈0.53765809391625131024
Edge 5 (24):  root[14th-order polynomial]    ≈0.53917811146431923127
Edge-scribed Radius:  1
Volume:root[14th-order polynomial]    ≈4.02811369118227183947