This 4-polytope has 6 polyhedral cells: 2 tetrahedra connected by 4 triangular prisms.
It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.
The square-face-first orthographic projection of the tetrahedral prism into 3D space has a cuboidal envelope (see diagram).
Each triangular prismic cell projects onto half of the cuboidal volume, forming two pairs of overlapping images.
The tetrahedral cells project onto the top and bottom square faces of the cuboid.