| Vertices: | 38 (24[3] + 6[4] + 8[6]) |
| Faces: | 36 (24 kites + 12 rhombi) |
| Edges: | 72 (24 short + 48 long) |
| Symmetry: | Full Octahedral (Oh) |
| Long Edge Angle: | acos(−5/6) | ≈146.442690238 degrees |
| Short Edge Angle: | acos(−8/9) | ≈152.733955549 degrees |
| (values below based on unit-edge-length Truncated Octahedron) |
| Short Edge (24): | sqrt(34)/8 | ≈0.72886898685566255886 |
| Long Edge (48): | sqrt(22)/4 | ≈1.1726039399558573886 |
| Rhombus Length: | 3*sqrt(2)/2 | ≈2.1213203435596425732 |
| Rhombus Width: | 1 |
| Kite Length: | 9*sqrt(2)/8 | ≈1.5909902576697319299 |
| Kite Width: | 1 |
| [3]-Vertex Radius (24): | sqrt(10)/2 | ≈1.5811388300841896660 |
| [4]-Vertex Radius (6): | 9*sqrt(2)/8 | ≈1.5909902576697319299 |
| [6]-Vertex Radius (8): | 3*sqrt(6)/4 | ≈1.8371173070873835736 |
| Inscribed Radius: | 3/2 | 1.5 |
| Volume: | 45*sqrt(2)/4 | ≈15.909902576697319299 |
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