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)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

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