Self-Intersecting Quasi-Quasi-Regular Duals
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Great Deltoidal Icositetrahedron
Vertices:
26 (8[3] + 6[4] + 12[4])
Faces:
24 (tri-equiangular darts)
Edges:
48 (24 short + 24 long)
Symmetry:
Full Octahedral (Oh)
Dihedral Angle:
acos(−(7−4*sqrt(2))/17)
≈94.531580798 degrees
Dual Solid:
Uniform Great Rhombicuboctahedron
(values below based on unit-edge-length Uniform Great Rhombicuboctahedron)
Short Edge (24):
2*sqrt(10+sqrt(2))/7
≈0.96528365556655217119
Long Edge (24):
sqrt(2*(2+sqrt(2)))
≈2.6131259297527530557
Dart Length:
2*sqrt(31+8*sqrt(2))/7
≈1.8585425164981857394
Dart Width:
sqrt(2)
≈1.4142135623730950488
[3]-Vertex Radius (8):
(4*sqrt(3)−sqrt(6))/7
≈0.63981621249890443942
[4]-Vertex Radius (18):
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