Archimedean Solids
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(Uniform #8)
Truncated Octahedron
canonical form
Vertices:
24 (24[3])
Faces:
14 (6 squares + 8 regular hexagons)
Edges:
36
Symmetry:
Full Octahedral (Oh)
Hexagon-Hexagon Angle:
acos(−1/3)
≈109.471220634 degrees
Hexagon-Square Angle:
acos(−sqrt(3)/3)
≈125.264389683 degrees
Dual Solid:
Tetrakis Hexahedron
(values below based on edge length = 1)
Circumscribed Radius:
sqrt(10)/2
≈1.5811388300841896660
Midscribed Radius:
3/2
1.5
Hexagon Center Radius:
sqrt(6)/2
≈1.2247448713915890491
Square Center Radius:
sqrt(2)
≈1.4142135623730950488
Volume:
8*sqrt(2)
≈11.313708498984760390