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 |
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