Hypercubes

A hypercube, also known as an n-dimensional cube or tesseract in four dimensions, is a geometric shape extending the concept of a cube into higher dimensions. In three dimensions, a cube has six square faces; in four dimensions, a hypercube has eight cubic "cells." Each higher-dimensional hypercube is built by connecting corresponding points of two lower-dimensional hypercubes, creating a structure with properties and symmetries that generalize familiar cubes. While impossible to fully visualize beyond three dimensions, mathematicians use hypercubes to explore complex spatial relationships and concepts in higher-dimensional spaces.