In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra.

E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC₂₄.

It can also be considered a cantellated 16-cell with the lower symmetries B₄ = [3,3,4]. B₄ would lead to a bicoloring of the cuboctahedral cells into 8 and 16 each. 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. The vertices become cubes, while the octahedra become cuboctahedra.

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. The lowest ${\displaystyle {D}_{4}}$ construction can be doubled into ${\displaystyle {C}_{4}}$ by adding a mirror that maps the bifurcating nodes onto each other. ${\displaystyle {D}_{4}}$ can be mapped up to ${\displaystyle {F}_{4}}$ 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 three symmetries can be seen with 3 colored cuboctahedra in the lowest ${\displaystyle {D}_{4}}$ construction, and two colors (1:2 ratio) in ${\displaystyle {C}_{4}}$, and all identical cuboctahedra in ${\displaystyle {F}_{4}}$.