Symmetric Canonical Self-Dual Enneahedra
11 total:
2
2 have C4v symmetry:
1
This is the only one with 3 edge lengths
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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