Sesquitruncated octahedron

The sesquitruncated octahedron is a near-miss Johnson solid. Its faces are 24 isosceles triangles, 6 squares and 8 enneagons.

To construct it, one needs to inscribe an enneagon in every face of a regular octahedron and fill all the remaining gaps with triangles and squares.



The sesquitruncated octahedron is a cell of the sesquitruncated rectified cubic honeycomb which is a near-miss CRF honeycomb.

Its other cell types are: sesquitruncated cuboctahedra, deformed cuboctahedra and deformed tetrahedra.



Variations
There is one variant of the sesquitruncated octahedron with regular enneagons. If the edge length of the enneagon is 1, the other edge length is $$\sqrt{\frac{4-4\cos\frac\pi9+4\cos\frac{2\pi}{9}}{3}}$$ ≈ 1.04967.