Archimedean-Catalan Hulls

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

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)