Regular Triangular Toroidal Solids

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Regular Triangular Toroid with 20 faces
Vertices:  10  (10[6])
Faces:20  (triangles: 4 equilateral + 4 isosceles + 4 * 3 obtuse)
Edges:30  (6 different lengths)
Symmetry:  2-fold Dihedral  (D2)
Dual Toroid:  Regular Hexagonal Toroid with 10 faces
Edge 1 (10):  3*sqrt(2)    ≈4.2426406871192851464
Edge 2 (8):  3*sqrt(5)    ≈6.7082039324993690892
Edge 3 (4):  sqrt(51)    ≈7.1414284285428499980
Edge 4 (4):  3*sqrt(11)    ≈9.9498743710661995473
Edge 5 (2):  sqrt(102)    ≈10.099504938362077953
Edge 6 (2):  2*sqrt(41)    ≈12.806248474865697373
Volume:166  [EXACT]


References:[1]Lajos Szilassi, personal communication