Versi-Quasi-Regular Duals
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Great Rhombihexacron
Vertices:
18 (12[4] + 6[8])
Faces:
24 (bowties)
Edges:
48 (24 short + 24 long)
Symmetry:
Full Octahedral (Oh)
Dihedral Angle:
acos(−(7−4*sqrt(2))/17)
≈94.531580798 degrees
Dual Solid:
Great Rhombihexahedron
(values below based on unit-edge-length Great Rhombihexahedron)
Short Edge (24):
sqrt(2*(2−sqrt(2)))
≈1.0823922002923939688
Long Edge (24):
2*sqrt(2−sqrt(2))
≈1.5307337294603590869
[8]-Vertex Radius (6):
2−sqrt(2)
≈0.58578643762690495120
[4]-Vertex Radius (12):
sqrt(2)
≈1.4142135623730950488
Edge-scribed Radius:
sqrt(2*(2−sqrt(2)))/2
≈0.54119610014619698440
Inscribed Radius:
sqrt(34*(7−4*sqrt(2)))/17
≈0.39751370683102677943