Archimedean-Catalan Hulls

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

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)