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.

It is one of the three regular polychora that can tile 4D space, similar to hypercubes of any other dimension.

The tesseract has the same circumradius as its edge length.

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