Simplest Canonical Polyhedra of Each Symmetry Type

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Simplest Canonical Polyhedron with Th Symmetry (1 of 2)

Vertices:   24  (12[3] + 12[4]) Faces: 20  (12 isosceles triangles + 8 triambi) Edges: 42  (36 short + 6 long) Symmetry:   Pyritohedral  (Th) Dual Solid:   Simplest Th (2 of 2) (values below based on edge-scribed radius = 1) Short Edge (36):   (9*sqrt(2)−8)/7     ≈0.67541743733683649132 Long Edge (6):   2*(sqrt(2)−1)     ≈0.82842712474619009760 Edge-scribed Radius:   1 Volume: 8*(33−17*sqrt(2))/21     ≈3.4127121674885273030