Octahedral prism

This 4-polytope has 10 polyhedral cells: 2 octahedra connected by 8 triangular prisms.

The triangular-prism-first orthographic projection of the octahedral prism into 3D space has a hexagonal prismic envelope.

The remaining four triangular prismic cells are projected onto the entire volume of the envelope as well, in the same arrangement, except with opposite orientation.

It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.

It is one of four four-dimensional Hanner polytopes; the other three are the tesseract, the 16-cell, and the dual of the octahedral prism (a cubical bipyramid).