Regular Hexagonal Toroidal Solids

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Regular Hexagonal Toroid with 13 faces (type B) (version 2)
version 2
Vertices:  26  (26[3])
Faces:13  (1 convex hexagon + {1 * 12} nonconvex hexagons)
Edges:39  (32 different lengths)
Symmetry:  No Symmetry  (C1)
(values below based on integer coordinates)
Edge 1 (1):  7*sqrt(33)    ≈40.211938525766200619
Edge 2 (7):  70
Edge 3 (1):  98*sqrt(2)    ≈138.59292911256331478
Edge 4 (1):  140
Edge 5 (1):  84*sqrt(3)    ≈145.49226783578569266
Edge 6 (1):  105*sqrt(3)    ≈181.86533479473211582
Edge 7 (1):  60*sqrt(10)    ≈189.73665961010275992
Edge 8 (2):  210
Edge 9 (1):  105*sqrt(5)    ≈234.78713763747791812
Edge 10 (1):  245
Edge 11 (1):  182*sqrt(2)    ≈257.38686835190329888
Edge 12 (1):  210*sqrt(2)    ≈296.984848098349960248
Edge 13 (1):  322
Edge 14 (1):  145*sqrt(5)    ≈324.22985673746950598
Edge 15 (1):  189*sqrt(3)    ≈327.35760263051780848
Edge 16 (1):  56*sqrt(37)    ≈340.63470169670030258
Edge 17 (1):  350
Edge 18 (1):  175*sqrt(5)    ≈391.31189606246319687
Edge 19 (1):  420
Edge 20 (1):  266*sqrt(3)    ≈460.72551481332136008
Edge 21 (1):  490
Edge 22 (1):  518
Edge 23 (1):  560
Edge 24 (1):  567
Edge 25 (1):  588
Edge 26 (1):  280*sqrt(5)    ≈626.09903369994111499
Edge 27 (1):  630
Edge 28 (1):  490*sqrt(2)    ≈692.96464556281657391
Edge 29 (1):  441*sqrt(3)    ≈763.834406137874886446
Edge 30 (1):  616*sqrt(2)    ≈871.15555442182655006
Edge 31 (1):  65*sqrt(201)    ≈921.53404711925863819
Edge 32 (1):  980
Volume:66600800  [EXACT]


References:[1]Lajos Szilassi, personal communication