Euler characteristic/Definition: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Daniel Mietchen
(started)
 
imported>Peter Schmitt
(rewritten)
Line 1: Line 1:
<noinclude>{{Subpages}}</noinclude>
<noinclude>{{Subpages}}</noinclude>
A number describing the relation between [[Vertex (geometry)|vertices]], [[Edge (geometry)|edge]]s and [[Face (geometry)|faces]] in a [[polyhedron]]; always equals 2 for [[convex polyhedrons]].
(of a [[polyhedron]]) A number calculated as the number of [[Vertex (geometry)|vertices]] minus the number of [[Edge (geometry)|edge]]s plus the number of [[Face (geometry)|faces]]; it is always equal to 2 for [[convex polyhedron|convex polyhedra]].

Revision as of 13:00, 8 February 2010

This article contains just a definition and optionally other subpages (such as a list of related articles), but no metadata. Create the metadata page if you want to expand this into a full article.


Euler characteristic [r]: (of a polyhedron) A number calculated as the number of vertices minus the number of edges plus the number of faces; it is always equal to 2 for convex polyhedra.