Regular Triangular Toroidal Solids

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Császár Polyhedron (version 1)
version 1
Vertices:  7  (2[6] + 2[6] + 2[6] + 1[6])
Faces:14  (triangles: 2 isosceles + 2 * 3 acute + 2 * 3 obtuse)
Edges:21  (10 different lengths)
Symmetry:  2-fold Cyclic  (C2)
Dual Toroid:  Szilassi Polyhedron
(values below based on the description from "On Three Classes of Regular Toroids", 2004, by Lajos Szilassi)
Minimum Dihedral Angle:  ≈18.287093393 degrees
Maximum Dihedral Angle:  ≈352.082984808 degrees
Edge 1 (2):  3
Edge 2 (1):  2*sqrt(5)    ≈4.4721359549995793928
Edge 3 (2):  sqrt(26)    ≈5.0990195135927848300
Edge 4 (4):  sqrt(37)    ≈6.0827625302982196890
Edge 5 (2):  sqrt(38)    ≈6.1644140029689764503
Edge 6 (2):  3*sqrt(5)    ≈6.7082039324993690892
Edge 7 (2):  6*sqrt(2)    ≈8.4852813742385702928
Edge 8 (2):  sqrt(149)    ≈12.206555615733702952
Edge 9 (2):  sqrt(214)    ≈14.628738838327793457
Edge 10 (2):  9*sqrt(3)    ≈15.588457268119895642
Volume:125  [EXACT]


References:[1]A Polyhedron Without Diagonals
[2]Ákos Császár, A polyhedron without diagonals,
Acta Scientiarum Mathematicarum (Szeged) 13 (1949), 140-142.
[3]Lajos Szilassi, On Three Classes of Regular Toroids,
3rd International Conference APLIMAT 2004.