Rectified 24-cell

It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra.

It is also called a runcicantellated demitesseract in a D4 symmetry, giving 3 colors of cells, 8 for each.

The rectified 24-cell can be derived from the 24-cell by the process of rectification: the 24-cell is truncated at the midpoints.

A rectified 24-cell having an edge length of √2 has vertices given by all permutations and sign permutations of the following Cartesian coordinates: The dual configuration with edge length 2 has all coordinate and sign permutations of: There are three different symmetry constructions of this polytope.

symmetry by adding two mirror that map all three end nodes together.

The vertex figure is a triangular prism, containing two cubes and three cuboctahedra.

The convex hull of the rectified 24-cell and its dual (assuming that they are congruent) is a nonuniform polychoron composed of 192 cells: 48 cubes, 144 square antiprisms, and 192 vertices.