hypercube

A hypercube, also known as an n-cube, is a geometric shape that extends the concept of a cube into higher dimensions. Just as a 3D cube has six square faces, a hypercube in four dimensions (a tesseract) has eight cubical faces. Each dimension adds complexity; in general, an n-dimensional hypercube has 2^n vertices, with layers of connections between them. While we can't physically visualize higher dimensions, mathematicians use hypercubes to understand complex relationships and structures in fields like computer science, physics, and mathematics. They serve as a way to explore spaces beyond our familiar three dimensions.