Compound of three octahedra
In mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common center but rotated with respect to each other. Although appearing earlier in the mathematical literature, it was rediscovered and popularized by M. C. Escher, who used it in the central image of his 1948 woodcut Stars.
| Compound of three octahedra | |
|---|---|
| Polyhedra | 3 regular octahedra |
| Faces | 24 equilateral triangles |
| Edges | 36 |
| Vertices | 18 |
| Symmetry group (Single color) | Oh, order 48 |
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