Simplest Canonical Polyhedra of Each Symmetry Type
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Simplest Canonical Polyhedron with D4h Symmetry
(Elongated Square Dipyramid)
(1 of 2)
Vertices:
10 (2[4] + 8[4])
Faces:
12 (8 isosceles triangles + 4 squares)
Edges:
20 (8 short + 12 long)
Symmetry:
4-fold Prismatic (D4h)
Dual Solid:
Simplest D4h (2 of 2)
(values below based on edge-scribed radius = 1)
Short Edge (8):
3*sqrt(2)/4
≈1.0606601717798212866
Long Edge (12):
sqrt(2)
≈1.4142135623730950488
Edge-scribed Radius:
1
Volume:
7*sqrt(2)/3
≈3.29983164553722178054