List of convex uniform polytopes

2D
There are infinitely many regular polygons.

3D
There are two infinite series of uniform polyhedra: the polygonal prisms and polygonal antiprisms. The rest of the convex uniform polyhedra fall into one of three "families" based on their symmetries.

4D
There are four symmetry families among the convex uniform polychora, as well as infinite families of prisms.