Self-Intersecting Quasi-Quasi-Regular Polyhedra

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(Uniform #17) Uniform Great Rhombicuboctahedron
Vertices:  24  (24[4])
Faces:26  (8 equilateral triangles + 18 squares)
Edges:48
Symmetry:  Full Octahedral  (Oh)
Square-Square Angle:  acos(sqrt(2)/2)    45 degrees
Square-Triangle Angle:  acos(sqrt(6)/3)    ≈324.735610317 degrees
Dual Solid:  Great Deltoidal Icositetrahedron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(5−2*sqrt(2))/2    ≈0.73681287910395029658
Midscribed Radius:  sqrt(2*(2−sqrt(2)))/2    ≈0.54119610014619698440
Square Center Radius:  (sqrt(2)−1)/2    ≈0.20710678118654752440
Triangle Center Radius:  (3*sqrt(3)−sqrt(6))/6    ≈0.45777711332057563040


References:[1]Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172.