Rectified tesseract
In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.
It has half the vertices of a runcinated tesseract, with its construction, called a runcic tesseract.
It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract, rr{3,31,1}, the second alternating with two types of tetrahedral cells.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC8.
The Cartesian coordinates of the vertices of the rectified tesseract with edge length 2 is given by all permutations of: In the cuboctahedron-first parallel projection of the rectified tesseract into 3-dimensional space, the image has the following layout:
