Regular Tetragonal Toroidal Solids

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Regular Tetragonal Toroid with 18 faces (type B) (cubic form)
cubic form
Vertices:  18  (18[4])
Faces:18  ({6 * 2} kites + 6 darts)
Edges:36  (4 different lengths)
Symmetry:  3-fold Antiprismatic  (D3v)
Dual Toroid:  Regular Tetragonal Toroid with 18 faces (type B) (itself)
(values below based on integer coordinates)
Edge 1 (12):  sqrt(706)    ≈26.570660511172845136
Edge 2 (12):  14*sqrt(10)    ≈44.271887242357310648
Edge 3 (6):  5*sqrt(118)    ≈54.313902456001078619
Edge 4 (6):  56
Volume:84672  [EXACT]


References:[1]Lajos Szilassi, personal communication