Symmetric Canonical Self-Dual Pentahedra
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Self-Dual Pentahedron (canonical)
Vertices:
5 (4[3] + 1[4])
Faces:
5 (4 isosceles triangles + 1 square)
Edges:
8 (4 short + 4 long)
Symmetry:
4-fold Pyramidal (C4v)
(values below based on edge-scribed radius = 1)
Short Edge (4):
2*sqrt(2*(sqrt(2)−1))
≈1.8203594422489093652
Long Edge (4):
2*sqrt(1+sqrt(2))
≈3.1075479480600746147
Edge-scribed Radius:
1
Volume:
16*(2−sqrt(2))/3
≈3.1241943340101597397