Symmetric Canonical Self-Dual Octahedra
6 total:
5
3 have C2 symmetry:
3
This is the only one with 8 edge lengths
(box: x-ray)
(F: faces)
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Self-Dual Octahedron #5 (canonical)
Vertices:
8 (2[3] + 2[3] + 2[4] + 2[4])
Faces:
8 ({2 * 2} scalene triangles + {2 * 2} irregular tetragons)
Edges:
14 (8 different lengths)
Symmetry:
2-fold Cyclic (C2)
(values below based on edge-scribed radius = 1)
Edge-scribed Radius:
1
Volume:
root[6th-order polynomial]
≈3.1334125597296059534