Archimedean-Catalan Hulls

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Joined Truncated Octahedron
Vertices:  38  (24[3] + 6[4] + 8[6])
Faces:36  (24 kites + 12 rhombi)
Edges:72  (24 short + 48 long)
Symmetry:  Full Octahedral  (Oh)
Long Edge Angle:  acos(−5/6)    ≈146.442690238 degrees
Short Edge Angle:  acos(−8/9)    ≈152.733955549 degrees
(values below based on unit-edge-length Truncated Octahedron)
Short Edge (24):  sqrt(34)/8    ≈0.72886898685566255886
Long Edge (48):  sqrt(22)/4    ≈1.1726039399558573886
Rhombus Length:  3*sqrt(2)/2    ≈2.1213203435596425732
Rhombus Width:  1
Kite Length:  9*sqrt(2)/8    ≈1.5909902576697319299
Kite Width:  1
[3]-Vertex Radius (24):  sqrt(10)/2    ≈1.5811388300841896660
[4]-Vertex Radius (6):  9*sqrt(2)/8    ≈1.5909902576697319299
[6]-Vertex Radius (8):  3*sqrt(6)/4    ≈1.8371173070873835736
Inscribed Radius:  3/2    1.5
Volume:45*sqrt(2)/4    ≈15.909902576697319299


References:[1]Conway Notation for Polyhedra (George Hart)