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- Expansion_(geometry) abstract "In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.The expansion of a regular polytope creates a uniform polytope, but the operation can be applied to any convex polytope, as demonstrated for polyhedra in Conway polyhedron notation. For polyhedra, an expanded polyhedron has all the faces of the original polyhedron, all the faces of the dual polyhedron, and new square faces in place of the original edges.".
- Expansion_(geometry) thumbnail Expanding_pentagon.png?width=300.
- Expansion_(geometry) wikiPageID "6341070".
- Expansion_(geometry) wikiPageLength "4548".
- Expansion_(geometry) wikiPageOutDegree "38".
- Expansion_(geometry) wikiPageRevisionID "639816601".
- Expansion_(geometry) wikiPageWikiLink 4-polytope.
- Expansion_(geometry) wikiPageWikiLink 5-polytope.
- Expansion_(geometry) wikiPageWikiLink Alicia_Boole_Stott.
- Expansion_(geometry) wikiPageWikiLink Cantellation_(geometry).
- Expansion_(geometry) wikiPageWikiLink Category:Euclidean_geometry.
- Expansion_(geometry) wikiPageWikiLink Category:Polytopes.
- Expansion_(geometry) wikiPageWikiLink Conway_polyhedron_notation.
- Expansion_(geometry) wikiPageWikiLink Coxeter–Dynkin_diagram.
- Expansion_(geometry) wikiPageWikiLink Dimension.
- Expansion_(geometry) wikiPageWikiLink Dual_polyhedron.
- Expansion_(geometry) wikiPageWikiLink Duoprism.
- Expansion_(geometry) wikiPageWikiLink Face_(geometry).
- Expansion_(geometry) wikiPageWikiLink Facet_(geometry).
- Expansion_(geometry) wikiPageWikiLink Geometry.
- Expansion_(geometry) wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Expansion_(geometry) wikiPageWikiLink Norman_Johnson_(mathematician).
- Expansion_(geometry) wikiPageWikiLink Polygon.
- Expansion_(geometry) wikiPageWikiLink Polyhedron.
- Expansion_(geometry) wikiPageWikiLink Polytope.
- Expansion_(geometry) wikiPageWikiLink Regular_Polytopes_(book).
- Expansion_(geometry) wikiPageWikiLink Regular_polytope.
- Expansion_(geometry) wikiPageWikiLink Runcination.
- Expansion_(geometry) wikiPageWikiLink Truncation_(geometry).
- Expansion_(geometry) wikiPageWikiLink Uniform_4-polytope.
- Expansion_(geometry) wikiPageWikiLink Uniform_polytope.
- Expansion_(geometry) wikiPageWikiLink Vertex_figure.
- Expansion_(geometry) wikiPageWikiLink Wythoff_construction.
- Expansion_(geometry) wikiPageWikiLink File:Cube_cantellation_sequence.svg.
- Expansion_(geometry) wikiPageWikiLink File:Expanding_pentagon.png.
- Expansion_(geometry) wikiPageWikiLink File:P2-A5-P3.gif.
- Expansion_(geometry) wikiPageWikiLinkText "'''expand'''".
- Expansion_(geometry) wikiPageWikiLinkText "Expanded".
- Expansion_(geometry) wikiPageWikiLinkText "Expansion (geometry)".
- Expansion_(geometry) wikiPageWikiLinkText "Expansion".
- Expansion_(geometry) wikiPageWikiLinkText "Rectified rectified".
- Expansion_(geometry) wikiPageWikiLinkText "expand".
- Expansion_(geometry) wikiPageWikiLinkText "expanded".
- Expansion_(geometry) wikiPageWikiLinkText "expanding".
- Expansion_(geometry) wikiPageWikiLinkText "expansion".
- Expansion_(geometry) wikiPageWikiLinkText "pulling them outward".
- Expansion_(geometry) title "Expansion".
- Expansion_(geometry) urlname "Expansion".
- Expansion_(geometry) wikiPageUsesTemplate Template:CDD.
- Expansion_(geometry) wikiPageUsesTemplate Template:Mathworld.
- Expansion_(geometry) wikiPageUsesTemplate Template:Polyhedron_operators.
- Expansion_(geometry) wikiPageUsesTemplate Template:Reflist.
- Expansion_(geometry) subject Category:Euclidean_geometry.
- Expansion_(geometry) subject Category:Polytopes.
- Expansion_(geometry) hypernym Operation.
- Expansion_(geometry) type MilitaryConflict.
- Expansion_(geometry) type Polytope.
- Expansion_(geometry) type Space.
- Expansion_(geometry) comment "In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.The expansion of a regular polytope creates a uniform polytope, but the operation can be applied to any convex polytope, as demonstrated for polyhedra in Conway polyhedron notation.".
- Expansion_(geometry) label "Expansion (geometry)".
- Expansion_(geometry) sameAs Q5420776.
- Expansion_(geometry) sameAs Expansão_de_sólido.
- Expansion_(geometry) sameAs m.0g1wmh.
- Expansion_(geometry) sameAs Q5420776.
- Expansion_(geometry) wasDerivedFrom Expansion_(geometry)?oldid=639816601.
- Expansion_(geometry) depiction Expanding_pentagon.png.
- Expansion_(geometry) isPrimaryTopicOf Expansion_(geometry).