Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 10 faces (version 2)
version 2
Vertices:  20  (20[3])
Faces:10  ({4 + 4 + 2} nonconvex hexagons)
Edges:30  (9 different lengths)
Symmetry:  2-fold Dihedral  (D2)
Dual Toroid:  Regular Triangular Toroid with 20 faces
(values below based on integer coordinates)
Edge 1 (4):  9*sqrt(41)    ≈57.628118136895638178
Edge 2 (4):  18*sqrt(41)    ≈115.25623627379127636
Edge 3 (4):  125
Edge 4 (4):  165
Edge 5 (2):  24*sqrt(51)    ≈171.394282285028399952
Edge 6 (2):  240
Edge 7 (4):  44*sqrt(34)    ≈256.56188337319322072
Edge 8 (2):  300
Edge 9 (4):  340
Volume:10207200  [EXACT]


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