Archimedean-Catalan Hulls
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Joined Truncated Cube
Vertices:
38 (8[3] + 24[3] + 6[8])
Faces:
36 (24 kites + 12 rhombi)
Edges:
72 (24 short + 48 long)
Symmetry:
Full Octahedral (Oh)
Long Edge Angle:
acos(−(2+sqrt(2))/4)
≈148.600285190 degrees
Short Edge Angle:
acos(−(1+sqrt(2))/4)
≈163.157883764 degrees
(values below based on unit-edge-length
Truncated Cube
)
Short Edge (24):
sqrt(7−4*sqrt(2))/2
≈0.57947082551833871527
Long Edge (48):
sqrt(7+4*sqrt(2))/2
≈1.7788236456639244509
Rhombus Length:
2+sqrt(2)
≈3.4142135623730950488
Rhombus Width:
1
Kite Length:
2
Kite Width:
1
[3]-Vertex Radius (8):
sqrt(3)
≈1.73205080756887729353
[3]-Vertex Radius (24):
sqrt(7+4*sqrt(2))/2
≈1.7788236456639244509
[8]-Vertex Radius (6):
1+sqrt(2)
≈2.4142135623730950488
Inscribed Radius:
(2+sqrt(2))/2
≈1.7071067811865475244
Volume:
14+8*sqrt(2)
≈25.313708498984760390
References:
[1]
Conway Notation for Polyhedra (George Hart)