Archimedean Solids
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(Uniform #11)
Truncated Cuboctahedron
canonical form
Vertices:
48 (48[3])
Faces:
26 (12 squares + 8 regular hexagons + 6 regular octagons)
Edges:
72
Symmetry:
Full Octahedral (Oh)
Octagon-Hexagon Angle:
acos(−sqrt(3)/3)
≈125.264389683 degrees
Octagon-Square Angle:
acos(−sqrt(2)/2)
135 degrees
Hexagon-Square Angle:
acos(−sqrt(6)/3)
≈144.735610317 degrees
Dual Solid:
Disdyakis Dodecahedron
(values below based on edge length = 1)
Circumscribed Radius:
sqrt(13+6*sqrt(2))/2
≈2.3176109128927665138
Midscribed Radius:
sqrt(6*(2+sqrt(2)))/2
≈2.2630334384537146236
Octagon Center Radius:
(1+2*sqrt(2))/2
≈1.9142135623730950488
Hexagon Center Radius:
(sqrt(3)+sqrt(6))/2
≈2.0907702751760276959
Square Center Radius:
(3+sqrt(2))/2
≈2.2071067811865475244
Volume:
22+14*sqrt(2)
≈41.798989873223330683