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)