Archimedean Solids
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(Uniform #10)
Rhombicuboctahedron
Vertices:
24 (24[4])
Faces:
26 (8 equilateral triangles + 18 squares)
Edges:
48
Symmetry:
Full Octahedral (Oh)
Square-Square Angle:
acos(−sqrt(2)/2)
135 degrees
Square-Triangle Angle:
acos(−sqrt(6)/3)
≈144.735610317 degrees
Dual Solid:
Deltoidal Icositetrahedron
(values below based on edge length = 1)
Circumscribed Radius:
sqrt(5+2*sqrt(2))/2
≈1.3989663259659067020
Midscribed Radius:
sqrt(2*(2+sqrt(2)))/2
≈1.3065629648763765279
Square Center Radius:
(1+sqrt(2))/2
≈1.2071067811865475244
Triangle Center Radius:
(3*sqrt(3)+sqrt(6))/6
≈1.2742736942483016631
Volume:
2*(6+5*sqrt(2))/3
≈8.7140452079103168293