Tesseract

The tesseract, or tes, also sometimes called the 8-cell or octachoron, is one of the 6 convex regular polychora. It has 8 cubes as cells, joining 3 to an edge and 4 to a vertex. It is the 4-dimensional hypercube.

Vertex coordinates
The vertices of a tesseract of dege length 1, centered at the origin, are given by all sign changes of:
 * (±1/2, ±1/2, ±1/2, ±1/2)