Cantellated 120-cell

It is named by its construction as a Cantellation operation applied to the regular 120-cell.

The cantitruncation operation create new truncated tetrahedral cells at the vertices, and triangular prisms at the edges.

The image shows the 4-polytope drawn as a Schlegel diagram which projects the 4-dimensional figure into 3-space, distorting the sizes of the cells.

In addition, the decagonal faces are hidden, allowing us to see the elemented projected inside.

This 4-polytope has cells at 3 of 4 positions in the fundamental domain, extracted from the Coxeter diagram by removing one node at a time: There are 1440 pentagonal faces between the icosidodecahedra and pentagonal prisms.