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The polytopes of rank 2 (2-polytopes) are called polygons.Regular polygons are equilateral and cyclic.A p-gonal regular polygon is represented by Schläfli symbol {p}.. Many sources only consider convex polygons, but star polygons, like the pentagram, when considered, can also be regular.
The following list of polygons, polyhedra and polytopes gives the names of various classes of polytopes and lists some specific examples. ... Order-5 cubic honeycomb;
Coxeter lists 32 regular compounds of regular 4-polytopes in his book Regular Polytopes. [3] McMullen adds six in his paper New Regular Compounds of 4-Polytopes , in which he also proves that the list is now complete. [ 4 ]
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.In particular, all its elements or j-faces (for all 0 ≤ j ≤ n, where n is the dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are themselves regular polytopes of dimension j≤ n.
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 ...
Polytopes are the generalization of three-dimensional polyhedra to any number of dimensions. Polytopes may exist in any general number of dimensions n as an n-dimensional polytope or n-polytope. For example, a two-dimensional polygon is a 2-polytope and a three-dimensional polyhedron is a 3-polytope.
List of regular polytopes; C. Cross-polytope; H. Hypercube; P. Pentagonal polytope; R. Regular polygon This page was last edited on 24 July 2024, at 03:43 (UTC). ...
List of mathematical shapes; List of two-dimensional geometric shapes. List of triangle topics; List of circle topics; List of curves; List of surfaces; List of polygons, polyhedra and polytopes. List of regular polytopes and compounds