Archimedean-Catalan Hulls
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Joined Cuboctahedron
Vertices:
26 (8[3] + 12[4] + 6[4])
Faces:
24 (kites)
Edges:
48 (24 short + 24 long)
Symmetry:
Full Octahedral (Oh)
Long Edge Angle:
acos(−2/3)
≈131.810314896 degrees
Short Edge Angle:
acos(−5/6)
≈146.442690238 degrees
(values below based on unit-edge-length
Cuboctahedron
)
Short Edge (24):
sqrt(22)/8
≈0.58630196997792869432
Long Edge (24):
sqrt(10)/4
≈0.79056941504209483300
Kite Length:
3*sqrt(6)/8
≈0.91855865354369178682
Kite Width:
1
[3]-Vertex Radius (8):
3*sqrt(6)/8
≈0.91855865354369178682
[4]-Vertex Radius (12):
1
[4]-Vertex Radius (6):
3*sqrt(2)/4
≈1.0606601717798212866
Inscribed Radius:
sqrt(3)/2
≈0.86602540378443864676
Volume:
27*sqrt(2)/12
≈3.1819805153394638598
References:
[1]
Conway Notation for Polyhedra (George Hart)