Self-Intersecting Quasi-Quasi-Regular Polyhedra

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(Uniform #14) Great Cubicuboctahedron
Vertices:  24  (24[4])
Faces:20  (8 equilateral triangles + 6 squares
    + 6 regular octagrams)
Edges:48
Symmetry:  Full Octahedral  (Oh)
Octagram-Square Angle:  acos(0)    90 degrees
Octagram-Triangle Angle:  acos(sqrt(3)/3)    ≈125.264389683 degrees
Dual Solid:  Great Hexacronic 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
Octagram Center Radius:  1/2    0.5


References:[1]Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172.
[2]Johann Pitsch, Über Halbreguläre Sternpolyeder, Zeitschrift
für das Realschulwesen
6 (1881), 9-24, 64-65, 72-89, 216.