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. |
|