Regular Tetragonal Toroidal Solids

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Regular Tetragonal Toroid with 18 faces (type A) (version 1)
version 1
Vertices:  18  (18[4])
Faces:18  ({3 * 2} rectangles + {6 * 2} isosceles trapezoids)
Edges:36  (5 different lengths)
Symmetry:  3-fold Prismatic  (D3h)
Dual Toroid:  Regular Tetragonal Toroid with 18 faces (type A) (itself)
Edge 1 (6):  2*sqrt(3)    ≈3.4641016151377545871
Edge 2 (12):  sqrt(39)    ≈6.2449979983983982058
Edge 3 (6):  3*(5*sqrt(2)−2*sqrt(3))    ≈10.820898590183161971
Edge 4 (6):  15*sqrt(2)    ≈21.213203435596425732
Edge 5 (6):  3*(5*sqrt(2)+2*sqrt(3))    ≈31.605508281009689493
Volume:810*sqrt(6)    ≈1984.08669165437425954