Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 12 faces (type C) (knot form)
knot form
Vertices:  24  (24[3])
Faces:12  ({6 * 2} nonconvex hexagons)
Edges:36  (7 different lengths)
Symmetry:  3-fold Dihedral  (D3)
Edge 1 (12):  sqrt(273)    ≈16.522711641858306062
Edge 2 (3):  8*sqrt(33)    ≈45.956501172304229279
Edge 3 (3):  56
Edge 4 (6):  13*sqrt(33)    ≈74.679314404994372578
Edge 5 (6):  91
Edge 6 (3):  18*sqrt(33)    ≈103.40212763768451588
Edge 7 (3):  126
Volume:12870  [EXACT]