Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 12 faces (type D) (version 2)
version 2
Vertices:  24  (24[3])
Faces:12  ({4 * 3} nonconvex hexagons)
Edges:36  (8 different lengths)
Symmetry:  2-fold Dihedral  (D2)
Dual Toroid:  Regular Triangular Toroid with 24 faces (type D)
(values below based on integer coordinates)
Edge 1 (4):  3
Edge 2 (4):  sqrt(10)    ≈3.1622776601683793320
Edge 3 (6):  4
Edge 4 (8):  6
Edge 5 (4):  9
Edge 6 (4):  3*sqrt(10)    ≈9.4868329805051379960
Edge 7 (2):  12
Edge 8 (4):  4*sqrt(10)    ≈12.649110640673517328
Volume:756  [EXACT]


References:[1]Lajos Szilassi, Locally regular toroids with hexagonal faces,
Symmetry: Culture and Science 20(1-4) (2009), 269-295.