Gallery of Z-polygon transversals

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Revision as of 06:42, 31 August 2011 by Wikispaces>xenwolf (**Imported revision 249639544 - Original comment: **)
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This revision was by author xenwolf and made on 2011-08-31 06:42:30 UTC.
The original revision id was 249639544.
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Original Wikitext content:

In geometry, a [[http://en.wikipedia.org/wiki/Convex_set|convex set]] is a set of points such that for any two points in the set, the line segment connecting the points is also in the set. The [[http://en.wikipedia.org/wiki/Convex_hull|convex hull]] of a set of points is the minimal convex set containing the given set, or in other words the intersection of all convex sets containing the set. A Z-[[http://en.wikipedia.org/wiki/Polytope|polytope]] is a set of points with integer coordinates, such that every point with integer coordinates in its convex hull is already contained in the Z-polytope. A Z-polygon is a two-dimensional Z-polytope, or 2-polytope.

Original HTML content:

<html><head><title>Gallery of Z-polygon transversals</title></head><body>In geometry, a <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_set" rel="nofollow">convex set</a> is a set of points such that for any two points in the set, the line segment connecting the points is also in the set. The <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_hull" rel="nofollow">convex hull</a> of a set of points is the minimal convex set containing the given set, or in other words the intersection of all convex sets containing the set. A Z-<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Polytope" rel="nofollow">polytope</a> is a set of points with integer coordinates, such that every point with integer coordinates in its convex hull is already contained in the Z-polytope. A Z-polygon is a two-dimensional Z-polytope, or 2-polytope.</body></html>