Regular Triangular Toroidal Solids

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Regular Triangular Toroid with 22 faces
Vertices:  11  (11[6])
Faces:22  (triangles: 2 isosceles + 2 * 3 right + 2 * 3 acute + 2 * 4 obtuse)
Edges:33  (15 different lengths)
Symmetry:  2-fold Cyclic  (C2)
Dual Toroid:  Regular Hexagonal Toroid with 11 faces
Edge 1 (3):  2*sqrt(2)    ≈2.8284271247461900976
Edge 2 (2):  3
Edge 3 (2):  sqrt(10)    ≈3.1622776601683793320
Edge 4 (4):  sqrt(13)    ≈3.6055512754639892931
Edge 5 (2):  sqrt(17)    ≈4.1231056256176605498
Edge 6 (2):  2*sqrt(5)    ≈4.4721359549995793928
Edge 7 (2):  sqrt(22)    ≈4.6904157598234295546
Edge 8 (2):  5
Edge 9 (2):  sqrt(34)    ≈5.8309518948453004709
Edge 10 (2):  2*sqrt(10)    ≈6.3245553203367586640
Edge 11 (2):  3*sqrt(5)    ≈6.7082039324993690892
Edge 12 (3):  3*sqrt(6)    ≈7.3484692283495342946
Edge 13 (2):  2*sqrt(14)    ≈7.4833147735478827712
Edge 14 (2):  2*sqrt(22)    ≈9.3808315196468591091
Edge 15 (1):  6*sqrt(6)    ≈14.696938456699068589
Volume:86  [EXACT]


References:[1]Lajos Szilassi, personal communication