{6,3} Genus-1 Toroids

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

Regular Hexagonal Toroid with 12 faces (type A) (square form)
square form
Vertices:  24  (24[3])
Faces:12  ({8 + 4} nonconvex hexagons)
Edges:36  (6 different lengths)
Symmetry:  4-fold Dihedral  (D4)
Dual Toroid:  Regular Triangular Toroid with 24 faces (type A)
Edge 1 (8):  sqrt(65)/3    ≈2.6874192494328498841
Edge 2 (4):  4*sqrt(5)/3    ≈2.9814239699997195952
Edge 3 (4):  4
Edge 4 (8):  4*sqrt(2)    ≈5.6568542494923801952
Edge 5 (8):  4*sqrt(5)    ≈8.9442719099991587856
Edge 6 (4):  10
Volume:8768/27    ≈324.740740740740740740740740741


References:[1]Lajos Szilassi, Locally regular toroids with hexagonal faces,
Symmetry: Culture and Science 20(1-4) (2009), 269-295.