Self-Intersecting Quasi-Quasi-Regular Duals
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Small Hexacronic Icositetrahedron
Vertices:
20 (8[3] + 6[4] + 6[8])
Faces:
24 (darts)
Edges:
48 (24 short + 24 long)
Symmetry:
Full Octahedral (Oh)
Dihedral Angle:
acos(−(7+4*sqrt(2))/17)
≈138.117959056 degrees
Dual Solid:
Small Cubicuboctahedron
(values below based on unit-edge-length Small Cubicuboctahedron)
Short Edge (24):
2*sqrt(2*(26+17*sqrt(2)))/7
≈2.8583320542408706014
Long Edge (24):
2*sqrt(2+sqrt(2))
≈3.69551813004514702451
Dart Length:
2*sqrt(31−8*sqrt(2))/7
≈1.2676924722362712507
Dart Width:
2*(1+sqrt(2))
≈4.8284271247461900976
[3]-Vertex Radius (8):
(4*sqrt(3)+sqrt(6))/7
≈1.3396704247226696103
[4]-Vertex Radius (6):
sqrt(2)
≈1.4142135623730950488
[8]-Vertex Radius (6):
2+sqrt(2)
≈3.4142135623730950488
Edge-scribed Radius:
sqrt(2*(2+sqrt(2)))/2
≈1.3065629648763765279
Inscribed Radius:
sqrt(34*(7+4*sqrt(2)))/17
≈1.2202629537976100741