Petrial tesseract

The petrial tesseract is a regular skew polychoron consisting of 3 square duocombs. It shares its faces, edges, and vertices with the tesseract, and it has a petrial tetrahedron vertex figure. It is the Petrie dual of the tesseract.

The petrial tesseract is also the only known (concrete) regular polychoron that has duocombs as cells. It is also a quotient of the square tiling honeycomb.

Vertex coordinates
The vertex coordinates of the petrial tesseract are the same as that of its regiment colonel, the tesseract.