A polytope is figure in geometry. It is a geometric object with flat sides, in any number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on. Sometimes the number of dimensions is shown as a number, as in a polyhedron being a 3-polytope or a tesseract a convex regular 4-polytope.
| An | Bn | I2(p) / Dn | E6 / E7 / E8 / F4 / G2 | Hn | ||||||||
| Triangle | Square | p-gon | Hexagon | Pentagon | ||||||||
| Tetrahedron | Octahedron • Cube | Demicube | Dodecahedron • Icosahedron | |||||||||
| 5-cell | 16-cell • Tesseract | Demitesseract | 24-cell | 120-cell • 600-cell | ||||||||
| 5-simplex | 5-orthoplex • 5-cube | 5-demicube | ||||||||||
| 6-simplex | 6-orthoplex • 6-cube | 6-demicube | 122 • 221 | |||||||||
| 7-simplex | 7-orthoplex • 7-cube | 7-demicube | 132 • 231 • 321 | |||||||||
| 8-simplex | 8-orthoplex • 8-cube | 8-demicube | 142 • 241 • 421 | |||||||||
| 9-simplex | 9-orthoplex • 9-cube | 9-demicube | ||||||||||
| 10-simplex | 10-orthoplex • 10-cube | 10-demicube | ||||||||||
| n-simplex | n-orthoplex • n-cube | n-demicube | 1k2 • 2k1 • k21 | n-pentagonal polytope | ||||||||
| Topics: Polytope families • Regular polytope • List of regular polytopes and compounds | ||||||||||||
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