About: Abstract polytope

Property	Value
dbo:description	algebraic partially ordered set or poset which captures the combinatorial properties of a traditional polytope, but not any purely geometric properties such as angles, edge lengths, etc (en) структура, яка враховує тільки комбінаторні властивості традиційних багатогранників (uk) conjunto algebraico parcialmente ordenado que captura las propiedades combinatorias de un politopo tradicional, pero no sus propiedades puramente geométricas como ángulos o longitudes de arista (es) مجموعة جبرية مرتبة جزئيًا أو مجموعة جزئية تلتقط الخصائص التوافيقية لمتعدد الأكناف التقليدي، ولكن ليس أي خصائص هندسية بحتة مثل الزوايا وأطوال الحواف وما إلى ذلك (ar) structure algébrique représentant les propriétés combinatoires d’un polytope (fr) structură algebrică care prezintă proprietățile combinatorice ale unui politop (ro)
dbo:thumbnail	wiki-commons:Special:FilePath/Pyramid_abstract_polytope.svg?width=300
dbo:wikiPageExternalLink	http://bendwavy.org/klitzing/explain/incmat.htm https://archive.org/details/abstractregularp0000mcmu http://discovermagazine.com/2007/apr/jarons-world-shapes-in-other-dimensions/%3Fsearchterm=polytope
dbo:wikiPageWikiLink	dbr:Real_projective_plane dbr:Discover_(magazine) dbr:Isometry dbr:Regular_polytope dbr:Coxeter_group dbr:Tessellation dbr:Moduli_space dbr:Vertex_figure dbc:Algebraic_topology dbr:Euclidean_plane dbr:Sphere dbr:Symmetry dbr:Torus dbr:Cambridge_University_Press dbr:Topology dbr:Apeirotope dbr:Closed_set dbr:Group_(mathematics) dbr:Jacques_Tits dbr:Convex_cone dbr:Hosohedron dbr:Quasiregular_polyhedron dbr:Euclidean_topology dbr:Covering_relation dbr:Combinatorics dbr:Automorphism dbr:Branko_Grünbaum dbr:Hasse_diagram dbr:Hemi-dodecahedron dbr:Hemi-icosahedron dbr:Semiregular_polytope dbr:Uniform_polytope dbr:Mathematics dbr:Square dbr:Archimedean_solid dbr:Finite_geometry dbr:Square_pyramid dbr:Cube dbr:Convex_polytope dbr:Peter_McMullen dbr:Abstract_polytope dbr:Eulerian_poset dbr:Egon_Schulte dbr:Euclidean_space dbr:Atom_(order_theory) dbr:Icosahedron dbr:Platonic_solid dbr:Manifold dbr:Facet_(geometry) dbr:Trapezoid dbr:Symmetric_matrix dbr:Transitive_relation dbr:Partially_ordered_set dbr:Empty_set dbr:Dual_polyhedron dbr:Polytope dbr:Apeirogon dbr:4-polytope dbr:Chiral_polytope dbr:Digon dbr:Klein_bottle dbc:Polytopes dbr:Vertex_(geometry) dbr:Graph_(discrete_mathematics) dbr:Orbit_(group_theory) dbc:Incidence_geometry dbr:Total_order dbr:Incidence_matrix dbr:Jacob_E._Goodman dbr:11-cell dbr:57-cell dbr:Graded_poset dbr:Automorphism_group dbr:Cylinder_(geometry) dbr:Hemi-cube_(geometry) dbr:H._S._M._Coxeter dbr:Group_action_(mathematics) dbr:Flag_(geometry) dbr:N-dimensional_space dbr:Hemi-octahedron dbr:Isomorphic dbr:File:A_Square_and_its_Hasse_Diagram.PNG dbr:File:An_Edge_(Line_Segment)_and_its_Hasse_Diagram.PNG dbr:File:Digon_and_Hasse_Diagram.PNG dbr:File:Hemicube.svg dbr:File:Hexagonal_Hosohedron.svg dbr:File:Isomorphic_Tetragons.svg dbr:File:Pyramid_abstract_polytope.svg dbr:File:Triangular_3-Prism.PNG dbr:Similar_(geometry) dbr:Spherical_polyhedra dbr:Dual_polytope dbr:H.S.M._Coxeter dbr:Algebraic_dimension dbr:Quadrilaterals dbr:Projective_polyhedra
dbp:date	July 2020 (en)
dbp:reason	Why is the empty set made a member? Many other subsets are not members. (en)
dbp:wikiPageUsesTemplate	dbt:Why dbt:Reflist dbt:TOC_limit dbt:Sfn dbt:Citation dbt:More_citations_needed dbt:Refend dbt:Refbegin dbt:Citation_needed dbt:Short_description
dct:subject	dbc:Algebraic_topology dbc:Polytopes dbc:Incidence_geometry
gold:hypernym	dbr:Structure
rdfs:label	Abstract polytope (en) Polytope abstrait (fr) 추상다포체 (ko) Абстрактный многогранник (ru) Абстрактний многогранник (uk)
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