Regular Tetragonal Toroidal Solids

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Regular Tetragonal Toroid with 18 faces (type B) (antiprismatic form)
antiprismatic form
Vertices:  18  (18[4])
Faces:18  ({6 * 2} darts + 6 kites)
Edges:36
Symmetry:  3-fold Antiprismatic  (D3v)
Dual Toroid:  Regular Tetragonal Toroid with 18 faces (type B) (itself)
(values below based on integer coordinates)
Edge 1 (6):  sqrt(1362)    ≈36.905284174491869099
Edge 2 (12):  5*sqrt(390)    ≈98.742088290657495087
Edge 3 (12):  27*sqrt(38)    ≈166.43917808016236416
Edge 4 (6):  189*sqrt(2)    ≈267.28636328851496422
Volume:3017088  [EXACT]


References:[1]Jörg M. Wills, Equivelar Polyhedra, The Coxeter Legacy (2006),
(Conference in Toronto, May 12-16, 2004), 121-128.