Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 12 faces (type B)
Vertices:  24  (24[3])
Faces:12  ({8 + 4} nonconvex hexagons)
Edges:36  (6 different lengths)
Symmetry:  4-fold Dihedral  (D4)
Dual Toroid:  Regular Triangular Toroid with 24 faces (type B)
Edge 1 (8):  sqrt(70)/3    ≈2.7888667551135851599
Edge 2 (4):  2*sqrt(34)/3    ≈3.8873012632302003139
Edge 3 (8):  3*sqrt(2)    ≈4.2426406871192851464
Edge 4 (4):  8*sqrt(10)/3    ≈8.4327404271156782187
Edge 5 (8):  3*sqrt(10)    ≈9.4868329805051379960
Edge 6 (4):  12
Volume:2048/3    ≈682.66666666666666667


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