Simplest Canonical Polyhedra of Each Symmetry Type
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Simplest Canonical Polyhedron with Oh Symmetry
(Uniform #6)
(Cube)
(2 of 2)
Vertices:
8 (8[3])
Faces:
6 (squares)
Edges:
12 (all same length)
Symmetry:
Full Octahedral (Oh)
Dihedral Angle:
acos(0)
90 degrees
Dual Solid:
Octahedron
(values below based on midscribed radius = 1)
Edge Length:
sqrt(2)
≈1.4142135623730950488
Circumscribed Radius:
sqrt(6)/2
≈1.2247448713915890491
Midscribed Radius:
1
Inscribed Radius:
sqrt(2)/2
≈0.70710678118654752440
Volume:
2*sqrt(2)
≈2.8284271247461900976