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In geometry, polytope means the generalization to any dimension of the sequence: polygon in two dimensions, polyhedron in three dimensions, and polychoron in four dimensions.
| For 0-polytope | see Vertex | |
| For 1-polytope | see Edge | |
| For 2-polytope | see Polygon | or Category:Polygons |
| For 3-polytope | see Polyhedron | or Category:Polyhedra |
| For 4-polytope | see Polychoron | or Category:4-polytopes |
| For Polyteron or Polytera | see 5-polytope | or Category:5-polytopes |
| For Polypeton or Polypeta | see 6-polytope | or Category:6-polytopes |
| For Polyexon or Polyexa | see 7-polytope | or Category:7-polytopes |
| For Polyzetton or Polyzetta | see 8-polytope | or Category:8-polytopes |
| For Polyyotton or Polyyotta | see 9-polytope | or Category:9-polytopes |
| For Polyronnon or Polyronna | see 10-polytope | or Category:10-polytopes |