Regular polytopes are highly symmetrical, multi-dimensional shapes that are the generalization of regular polygons and polyhedra. In two dimensions, regular polygons like squares and equilateral triangles are examples, while in three dimensions, regular polyhedra include shapes like cubes and tetrahedra. These shapes are defined by having all their faces, edges, and angles equal. In higher dimensions, regular polytopes continue this pattern. For instance, in four dimensions, the tesseract is a well-known regular polytope. Regular polytopes are classified into two main categories: convex and star polytopes, each exhibiting unique properties and symmetries.