Alternation (geometry)

id: alternation-geometry-176-3036610
title: Alternation (geometry)
text: 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 h, standing for hemi or half. Because alternation reduces all polygon faces to half as many sides, it can only be applied to 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-u
brand slug: wiki
category slug: encyclopedia
description: Removal of alternate vertices
original url: https://en.wikipedia.org/wiki/Alternation_(geometry)
date created: 2006-03-11T01:15:38Z
date modified: 2024-09-03T12:19:00Z
main entity: {"identifier":"Q3849911","url":"https://www.wikidata.org/entity/Q3849911"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/1a/Polyhedron_4a.png","width":4000,"height":4000}
fields total: 13
integrity: 16

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