| Regular (2D) polygons | |
|---|---|
| Convex | Star |
 {5} |
 {5/2} |
| Regular (3D) polyhedra | |
| Convex | Star |
 {5,3} |
 {5/2,5} |
| Regular 4D polytopes | |
| Convex | Star |
 {5,3,3} |
 {5/2,5,3} |
| Regular 2D tessellations | |
| Euclidean | Hyperbolic |
 {4,4} |
 {5,4} |
| Regular 3D tessellations | |
| Euclidean | Hyperbolic |
 {4,3,4} |
 {5,3,4} |
This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces.