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