Spherical
editRegular convex
edit| dimension | Simplex | Cube | Orthoplex | Pentagonal polytope | Simplex pentagonal polytope | Others |
|---|---|---|---|---|---|---|
| 0 | point • | |||||
| 1 | line segment _ | |||||
| 2 | triangle |
square |
pentagon |
hexagon | ||
| 3 | tetrahedron |
cube |
octahedron |
dodecahedron |
icosahedron |
|
| 4 | 5-cell |
tesseract |
16-cell |
120-cell |
600-cell |
24-cell |
| 5... | 5-simplex |
5-cube |
5-orthoplex |
|||
| Regular convex 2D polytopes, extended | ||||||
|---|---|---|---|---|---|---|
| heptagon |
octagon |
nonagon |
decagon |
undecagon |
dodecagon |
tridecagon |
| tetradecagon |
pentadecagon |
hexadecagon |
heptadecagon |
octadecagon |
nonadecagon |
icosagon... |
Regular star
editPlanar
edit| dimension | n-hypercube tiling | Others | |
|---|---|---|---|
| 1-space | apeirogon | ||
| 2-space | quadrille |
deltille |
hextille |
| 3-space | cubic honeycomb |
||
| 4-space | tesseractic honeycomb |
16-cell honeycomb |
24-cell honeycomb |




































































