Simplest Canonical Polyhedra of Each Symmetry Type
(box: x-ray)
(F: faces)
(slider: perspective)
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(M: metrics)
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Simplest Canonical Polyhedron with D3v Symmetry
(1 of 2)
Vertices:
8 (2[3] + 6[5])
Faces:
12 (6 equilateral triangles + 6 isosceles triangles)
Edges:
18 (6 short + 12 long)
Symmetry:
3-fold Antiprismatic (D3v)
Dual Solid:
Simplest D3v (2 of 2)
(values below based on edge-scribed radius = 1)
Short Edge (12):
2*(2−sqrt(2))
≈1.1715728752538099024
Long Edge (2):
2
Edge-scribed Radius:
1
Volume:
4 [EXACT]