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- Alternation_(geometry) abstract "In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.Coxeter labels an alternation by a prefixed by an h, standing for hemi or half. Because alternation reduce all polygon faces to half as many sides, it can only be applied for polytopes with all even-sided faces. An alternated square face becomes a digon, and being degenerate, is usually reduced to a single edge.More generally any vertex-uniform polyhedron or tiling with a vertex configuration consisting of all even-numbered elements can be alternated. For example the alternation a vertex figure with 2a.2b.2c is a.3.b.3.c.3 where the three is the number of elements in this vertex figure. A special case is square faces whose order divide in half into degenerate digons. So for example, the cube 4.4.4 is alternated as 2.3.2.3.2.3 which is reduced to 3.3.3, being the tetrahedron, and all the 6 edges of the tetrahedra can also be seen degenerate faces of the original cube.".
- Alternation_(geometry) thumbnail Snubcubes_in_grCO.svg?width=300.
- Alternation_(geometry) wikiPageExternalLink Stott_v8.pdf.
- Alternation_(geometry) wikiPageExternalLink naming.html.
- Alternation_(geometry) wikiPageID "4349117".
- Alternation_(geometry) wikiPageRevisionID "645037778".
- Alternation_(geometry) anchor "Alternation".
- Alternation_(geometry) hasPhotoCollection Alternation_(geometry).
- Alternation_(geometry) title "Alternation".
- Alternation_(geometry) title "Snubification".
- Alternation_(geometry) urlname "Snubification".
- Alternation_(geometry) subject Category:Polychora.
- Alternation_(geometry) subject Category:Polyhedra.
- Alternation_(geometry) subject Category:Polytopes.
- Alternation_(geometry) comment "In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.Coxeter labels an alternation by a prefixed by an h, standing for hemi or half. Because alternation reduce all polygon faces to half as many sides, it can only be applied for polytopes with all even-sided faces.".
- Alternation_(geometry) label "Alternation (geometry)".
- Alternation_(geometry) label "Snubificação".
- Alternation_(geometry) sameAs Snubificação.
- Alternation_(geometry) sameAs m.0bygp3.
- Alternation_(geometry) sameAs Q3849911.
- Alternation_(geometry) sameAs Q3849911.
- Alternation_(geometry) wasDerivedFrom Alternation_(geometry)?oldid=645037778.
- Alternation_(geometry) depiction Snubcubes_in_grCO.svg.
- Alternation_(geometry) isPrimaryTopicOf Alternation_(geometry).