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1. Polytope: This page is deficient and requires revision. Please see Talk:Polytope for further comments. (Mathematics) [100%] 2023-01-13
2. Polytope: In geometry, a polytope is the analog to a polygon or polyhedron in any number of dimensions. Alternatively, a polytope in n dimensions is a figure bounded by connected polytopes of dimension n-1. [100%] 2022-06-14
3. Polybotes: One of the Gigantes. [88%] 2007-01-06
4. Regular Polytopes (book): Regular Polytopes is a geometry book on regular polytopes written by Harold Scott MacDonald Coxeter. It was originally published by Methuen in 1947 and by Pitman Publishing in 1948, with a second edition published by Macmillan in 1963 and a ... (Book) [80%] 2022-07-10 [Mathematics books] [Polytopes]...
5. A6 polytope: In 6-dimensional geometry, there are 35 uniform polytopes with A6 symmetry. There is one self-dual regular form, the 6-simplex with 7 vertices. [70%] 2022-08-07 [6-polytopes]
6. Abstract polytope: In mathematics, an abstract polytope is an algebraic partially ordered set which captures the dyadic property of a traditional polytope without specifying purely geometric properties such as points and lines. A geometric polytope is said to be a realization of ... (Poset representing certain properties of a polytope) [70%] 2023-04-10 [Algebraic topology] [Incidence geometry]...
7. Stacked polytope: In polyhedral combinatorics (a branch of mathematics), a stacked polytope is a polytope formed from a simplex by repeatedly gluing another simplex onto one of its facets. Every simplex is itself a stacked polytope. [70%] 2023-01-26 [Polytopes]
8. Simplicial polytope: In geometry, a simplicial polytope is a polytope whose facets are all simplices. For example, a simplicial polyhedron in three dimensions contains only triangular faces and corresponds via Steinitz's theorem to a maximal planar graph. (Polytope whose facets are all simplices) [70%] 2023-06-04 [Euclidean geometry] [Polytopes]...
9. Stacked polytope: In polyhedral combinatorics (a branch of mathematics), a stacked polytope is a polytope formed from a simplex by repeatedly gluing another simplex onto one of its facets.Cite error: Closing missing for tag For instance, the graphs of three-dimensional ... [70%] 2023-02-14 [Polytopes]
10. E7 polytope: In 7-dimensional geometry, there are 127 uniform polytopes with E7 symmetry. The three simplest forms are the 321, 231, and 132 polytopes, composed of 56, 126, and 576 vertices respectively. [70%] 2023-02-07 [7-polytopes]
11. A5 polytope: In 5-dimensional geometry, there are 19 uniform polytopes with A5 symmetry. There is one self-dual regular form, the 5-simplex with 6 vertices. [70%] 2023-06-14 [5-polytopes]
12. D6 polytope: In 6-dimensional geometry, there are 47 uniform polytopes with D6 symmetry, of which 16 are unique and 31 are shared with the B6 symmetry. There are two regular forms, the 6-orthoplex, and 6-demicube with 12 and 32 ... [70%] 2024-02-12 [6-polytopes]
13. Cross-polytope: In geometry, a cross-polytope, hyperoctahedron, orthoplex, or cocube is a regular, convex polytope that exists in n-dimensional Euclidean space. A 2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahedron, and a ... (Regular polytope dual to the hypercube in any number of dimensions) [70%] 2023-12-01 [Polytopes] [Multi-dimensional geometry]...
14. A4 polytope: In 4-dimensional geometry, there are 9 uniform polytopes with A4 symmetry. There is one self-dual regular form, the 5-cell with 5 vertices. [70%] 2023-05-30 [4-polytopes]
15. Quaternionic polytope: In geometry, a quaternionic polytope is a generalization of a polytope in real space to an analogous structure in a quaternionic module, where each real dimension is accompanied by three imaginary ones. Similarly to complex polytopes, points are not ordered ... [70%] 2023-05-08 [Quaternions]
16. D4 polytope: In 4-dimensional geometry, there are 7 uniform 4-polytopes with reflections of D4 symmetry, all are shared with higher symmetry constructions in the B4 or F4 symmetry families. there is also one half symmetry alternation, the snub 24-cell. [70%] 2023-10-31 [4-polytopes]
17. D8 polytope: In 8-dimensional geometry, there are 191 uniform polytopes with D8 symmetry, 64 are unique, and 127 are shared with the B8 symmetry. There are two regular forms, the 8-orthoplex, and 8-demicube with 16 and 128 vertices respectively. [70%] 2023-03-02 [8-polytopes]
18. Polytope families: There are several families of symmetric polytopes with irreducible symmetry which have a member in more than one dimensionality. These are tabulated here with Petrie polygon projection graphs and Coxeter-Dynkin diagrams. [70%] 2024-02-15 [Polytopes] [Multi-dimensional geometry]...
19. Normal polytope: In mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope P is called normal if it has the following property: given any positive integer n, every lattice point of the dilation nP, obtained from P by scaling its vertices ... [70%] 2023-09-15 [Polytopes]
20. A4 polytope: In 4-dimensional geometry, there are 9 uniform polytopes with A4 symmetry. There is one self-dual regular form, the 5-cell with 5 vertices. [70%] 2022-09-26 [4-polytopes]