{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 D) (version 1)
version 1
Vertices:  24  (24[3])
Faces:12  ({2 * 6} nonconvex hexagons)
Edges:36  (11 different lengths)
Symmetry:  2-fold Cyclic  (C2)
Dual Toroid:  Regular Triangular Toroid with 24 faces (type D)
(values below based on integer coordinates)
Edge 1 (2):  2
Edge 2 (4):  3
Edge 3 (4):  4
Edge 4 (4):  3*sqrt(2)    ≈4.2426406871192851464
Edge 5 (4):  6
Edge 6 (2):  6*sqrt(2)    ≈8.4852813742385702928
Edge 7 (4):  9
Edge 8 (4):  12
Edge 9 (4):  9*sqrt(2)    ≈12.727922061357855439
Edge 10 (2):  16
Edge 11 (2):  12*sqrt(2)    ≈16.970562748477140586
Volume:594  [EXACT]


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