Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 15 faces (type A) (version 1)

Vertices:   30  (30[3]) Faces: 15  (5 convex hexagons + 10 nonconvex hexagons) Edges: 45  (10 short + 30 medium + 5 long) Symmetry:   5-fold Dihedral  (D5) Short Edge (10):   3−sqrt(5)     ≈0.76393202250021030359 Medium Edge (30):   sqrt(5)−1     ≈1.2360679774997896964 Long Edge (5):   sqrt(4*(5−2*sqrt(5)))     ≈1.4530850560107217718 Volume: 10*(2*sqrt(5)−3)/3     ≈4.9071198499985979761 References: [1] Lajos Szilassi, personal communication