Regular Triangular Toroidal Solids

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Regular Triangular Toroid with 24 faces (type A) (square form)
square form
Vertices:  12  (12[6])
Faces:24  ({8 * 2} acute triangles + 8 obtuse triangles)
Edges:36  (5 different lengths)
Symmetry:  4-fold Dihedral  (D4)
Dual Toroid:  Regular Hexagonal Toroid with 12 faces (type A)
Edge 1 (12):  sqrt(6)    ≈2.4494897427831780982
Edge 2 (4):  2*sqrt(2)    ≈2.8284271247461900976
Edge 3 (8):  sqrt(10)    ≈3.1622776601683793320
Edge 4 (8):  sqrt(14)    ≈3.7416573867739413856
Edge 5 (4):  4*sqrt(2)    ≈5.6568542494923801952
Volume:64/3    ≈21.333333333333333333


References:[1]Lajos Szilassi, personal communication