Symmetric Canonical Self-Dual Enneahedra

11 total:  2 

2 have C4v symmetry:  1 

This is the only one with 3 edge lengths

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

Self-Dual Enneahedron #2 (canonical)
Vertices:  9  (4[3] + 1[4] + 4[4])
Faces:9  (4 isosceles triangles + 1 square + 4 kites)
Edges:16  (8 short + 4 medium + 4 long)
Symmetry:  4-fold Pyramidal  (C4v)
(values below based on edge-scribed radius = 1)
Short Edge (8):  2*(3*sqrt(2)−sqrt(6))/3    ≈1.1954339628907380321
Medium Edge (4):  2*sqrt(6)/3    ≈1.63299316185545206546
Long Edge (4):  3*sqrt(2)−sqrt(6)    ≈1.7931509443361070482
Edge-scribed Radius:  1
Volume:16*(5*sqrt(3)−3)/27    ≈3.35422461501889568453