Dipyramids & Trapezohedra
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(Uniform #5)
Square Dipyramid (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:
Square Prism (Cube)
(values below based on unit-edge-length Square Prism)
Edge Length:
sqrt(2)
≈1.4142135623730950488
Circumscribed Radius:
1
Midscribed Radius:
sqrt(2)/2
≈0.70710678118654752440
Inscribed Radius:
sqrt(3)/3
≈0.57735026918962576451
Volume:
4/3
≈1.3333333333333333333