Self-Intersecting Truncated Quasi-Regular Duals
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Tetradyakis Hexahedron
Vertices:
20 (8[6] + 6[8] + 6[8])
Faces:
48 (obtuse triangles)
Edges:
72 (24 short + 24 medium + 24 long)
Symmetry:
Full Octahedral (Oh)
Dihedral Angle:
acos(−5/7)
≈135.584691403 degrees
Dual Solid:
Cubitruncated Cuboctahedron
(values below based on unit-edge-length Cubitruncated Cuboctahedron)
Short Edge (24):
2*(sqrt(6)−sqrt(3))
≈1.4348778704286016093
Medium Edge (24):
3*sqrt(6)
≈7.3484692283495342946
Long Edge (24):
2*(sqrt(3)+sqrt(6))
≈8.3630811007041107834
[8]-Vertex Radius (6):
3*(sqrt(2)−1)
≈1.2426406871192851464
[6]-Vertex Radius (8):
sqrt(3)
≈1.73205080756887729353
[8]-Vertex Radius (6):
3*(1+sqrt(2))
≈7.2426406871192851464
Edge-scribed Radius:
sqrt(6)/2
≈1.2247448713915890491
Inscribed Radius:
3*sqrt(7)/7
≈1.1338934190276816816