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