Self-Intersecting Truncated Regular Duals
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Great Triakis Octahedron
Vertices:
14 (8[3] + 6[8])
Faces:
24 (isosceles triangles)
Edges:
36 (12 short + 24 long)
Symmetry:
Full Octahedral (Oh)
Dihedral Angle:
acos((8*sqrt(2)−3)/17)
≈60.722386810 degrees
Dual Solid:
Stellated Truncated Hexahedron
(values below based on unit-edge-length Stellated Truncated Hexahedron)
Short Edge (12):
2−sqrt(2)
≈0.58578643762690495120
Long Edge (24):
2
[8]-Vertex Radius (6):
sqrt(2)−1
≈0.41421356237309504880
[3]-Vertex Radius (8):
sqrt(3)
≈1.73205080756887729353
Edge-scribed Radius:
(2−sqrt(2))/2
≈0.29289321881345247560
Inscribed Radius:
sqrt(17*(23−16*sqrt(2)))/17
≈0.14804272078783030621