Regular Hexagonal Toroidal Solids

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Hexagonal Toroid with 8 overarching faces
Vertices:  26  (4[3] + 4[3] + 4[3] + 4[3])
Faces:8  ({4 * 2} mirror-symmetric nonconvex hexagons)
Edges:24  (4 different lengths)
Symmetry:  2-fold Antiprismatic  (D2v)
Edge 1 (8):  sqrt(2)    ≈1.4142135623730950488
Edge 2 (4):  4*sqrt(2)    ≈5.6568542494923801952
Edge 3 (8):  6*sqrt(2)    ≈8.4852813742385702928
Edge 4 (4):  8*sqrt(2)    ≈11.313708498984760390
Volume:48  [EXACT]


References:[1]J. Schwörbel, Die kombinatorisch regulären Tori.
Thesis, Siegen University, 1988.
[2]Lajos Szilassi, personal communication