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- Petrie_polygon abstract "In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon such that every (n-1) consecutive sides (but no n) belong to one of the facets. The Petrie polygon of a regular polygon is the regular polygon itself; that of a regular polyhedron is a skew polygon such that every two consecutive sides (but no three) belong to one of the faces.For every regular polytope there exists an orthogonal projection onto a plane such that one Petrie polygon becomes a regular polygon with the remainder of the projection interior to it. The plane in question is the Coxeter plane of the symmetry group of the polygon, and the number of sides, h, is Coxeter number of the Coxeter group. These polygons and projected graphs are useful in visualizing symmetric structure of the higher-dimensional regular polytopes.".
- Petrie_polygon thumbnail Petrie_polygons.png?width=300.
- Petrie_polygon wikiPageID "18571869".
- Petrie_polygon wikiPageRevisionID "603808858".
- Petrie_polygon hasPhotoCollection Petrie_polygon.
- Petrie_polygon title "120".
- Petrie_polygon title "24".
- Petrie_polygon title "600".
- Petrie_polygon title "Cross polytope graphs".
- Petrie_polygon title "Gosset graph 3_21".
- Petrie_polygon title "Hypercube graphs".
- Petrie_polygon title "Petrie polygon".
- Petrie_polygon urlname "120".
- Petrie_polygon urlname "24".
- Petrie_polygon urlname "600".
- Petrie_polygon urlname "CrossPolytope".
- Petrie_polygon urlname "GossetGraph".
- Petrie_polygon urlname "HypercubeGraph".
- Petrie_polygon urlname "PetriePolygon".
- Petrie_polygon subject Category:Polytopes.
- Petrie_polygon comment "In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon such that every (n-1) consecutive sides (but no n) belong to one of the facets.".
- Petrie_polygon label "Petrie polygon".
- Petrie_polygon label "Polygone de Petrie".
- Petrie_polygon label "Polígono de Petrie".
- Petrie_polygon label "Wielokąt Petriego".
- Petrie_polygon label "ペトリー多角形".
- Petrie_polygon sameAs Polígono_de_Petrie.
- Petrie_polygon sameAs Polygone_de_Petrie.
- Petrie_polygon sameAs ペトリー多角形.
- Petrie_polygon sameAs Wielokąt_Petriego.
- Petrie_polygon sameAs m.04g034b.
- Petrie_polygon sameAs Q3395593.
- Petrie_polygon sameAs Q3395593.
- Petrie_polygon wasDerivedFrom Petrie_polygon?oldid=603808858.
- Petrie_polygon depiction Petrie_polygons.png.
- Petrie_polygon isPrimaryTopicOf Petrie_polygon.
