Tesseract

The Net (mathematics) of a tesseract In geometry, the tesseract, or hypercube, is a regular convex polychoron with eight cube (geometry) cell (mathematics)s. It can be thought of as a 4-dimensional analog of the cube (geometry). Roughly speaking, the tesseract is to the cube as the cube is to the square (geometry).

Generalizations of the cube to dimensions greater than three are called hypercubes or measure polytopes. This article focuses on the 4D hypercube, the tesseract.

= Geometry =

In a square, each vertex has two perpendicular edges incident to it, while a cube has three. A tesseract has four. Canonical coordinates for the vertices of a tesseract centered at the origin are (±1, ±1, ±1, ±1), while the interior of the same consists of all points ( x 0,  x 1,  x 2,  x 3) with -1