Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 15 faces (type D) (version 6)
Vertices:  30  (30[3])
Faces:15  (3 convex hexagons + 6 nonconvex hexagons
    + 6 mirror-symmetric nonconvex hexagons)
Edges:45  (6 different lengths)
Symmetry:  3-fold Dihedral  (D3)
(values below based on integer coordinates)
Edge 1 (6):  1
Edge 2 (6):  2*sqrt(2)    ≈2.8284271247461900976
Edge 3 (12):  4
Edge 4 (6):  5
Edge 5 (3):  3*sqrt(3)    ≈5.1961524227066318806
Edge 6 (12):  6
Volume:213  [EXACT]


References:[1]Lajos Szilassi, personal communication