| Vertices: | 38 (8[3] + 24[3] + 6[8]) |
| Faces: | 36 (24 kites + 12 rhombi) |
| Edges: | 72 (24 short + 48 long) |
| Symmetry: | Full Octahedral (Oh) |
| Long Edge Angle: | acos(−(2+sqrt(2))/4) | ≈148.600285190 degrees |
| Short Edge Angle: | acos(−(1+sqrt(2))/4) | ≈163.157883764 degrees |
| (values below based on unit-edge-length Truncated Cube) |
| Short Edge (24): | sqrt(7−4*sqrt(2))/2 | ≈0.57947082551833871527 |
| Long Edge (48): | sqrt(7+4*sqrt(2))/2 | ≈1.7788236456639244509 |
| Rhombus Length: | 2+sqrt(2) | ≈3.4142135623730950488 |
| Rhombus Width: | 1 |
| Kite Length: | 2 |
| Kite Width: | 1 |
| [3]-Vertex Radius (8): | sqrt(3) | ≈1.73205080756887729353 |
| [3]-Vertex Radius (24): | sqrt(7+4*sqrt(2))/2 | ≈1.7788236456639244509 |
| [8]-Vertex Radius (6): | 1+sqrt(2) | ≈2.4142135623730950488 |
| Inscribed Radius: | (2+sqrt(2))/2 | ≈1.7071067811865475244 |
| Volume: | 14+8*sqrt(2) | ≈25.313708498984760390 |
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