| Compound of three octahedra | |
|---|---|
 | |
| Faces | 24 equilateral triangles |
| Edges | 36 |
| Vertices | 18 |
| Symmetry group | Octahedral symmetry Oh of order 48 (single color) |
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.