Platonic Solids

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(Uniform #5) Octahedron
Vertices:  6  (6[4])
Faces:8  (equilateral triangles)
Edges:12
Symmetry:  Full Octahedral  (Oh)
Dihedral Angle:  acos(−1/3)    ≈109.471220634 degrees
Dual Solid:  Cube
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(2)/2    ≈0.70710678118654752440
Midscribed Radius:  1/2    0.5
Inscribed Radius:  sqrt(6)/6    ≈0.40824829046386301637
Volume:sqrt(2)/3    ≈0.47140452079103168293