Gallery of Z-polygon transversals: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 252483720 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 252542908 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-09 17:31:49 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-09 22:40:11 UTC</tt>.<br>
: The original revision id was <tt>252483720</tt>.<br>
: The original revision id was <tt>252542908</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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[[deka65625|horwell]]
[[deka65625|horwell]]
[[deka2401|breedsmic]]
[[deka2401|breedsmic]]
[[deka4375|ragismic]]</pre></div>
[[deka4375|ragismic]]
 
=2)5 Dekany 1.3.5.7.11 (1.3 tonic)=
[[dekany_apollo|apollo]]
[[dekany_laka|laka]]
[[dekany_marvel|marvel]]
[[dekany_minerva|minerva]]
[[dekany_pele|pele]]
[[dekany_portent|portent]]
[[dekany_prodigy|prodigy]]
[[dekany_sensamgic|sensamagic]]
[[dekany_thrush|thrush]]
[[dekany_zeus|zeus]]
</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gallery of Z-polygon transversals&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;a href="#Z-polytopes and convex closures"&gt;Z-polytopes and convex closures&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Septimal hexany"&gt;Septimal hexany&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt; | &lt;a href="#x7-limit diamond"&gt;7-limit diamond&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#x9-limit diamond"&gt;9-limit diamond&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt; | &lt;a href="#Dekatesserany (2x2x2 chord cube)"&gt;Dekatesserany (2x2x2 chord cube)&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gallery of Z-polygon transversals&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Z-polytopes and convex closures"&gt;Z-polytopes and convex closures&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Septimal hexany"&gt;Septimal hexany&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt; | &lt;a href="#x7-limit diamond"&gt;7-limit diamond&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#x9-limit diamond"&gt;9-limit diamond&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Dekatesserany (2x2x2 chord cube)"&gt;Dekatesserany (2x2x2 chord cube)&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#x2)5 Dekany 1.3.5.7.11 (1.3 tonic)"&gt;2)5 Dekany 1.3.5.7.11 (1.3 tonic)&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Z-polytopes and convex closures"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Z-polytopes and convex closures&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Z-polytopes and convex closures"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Z-polytopes and convex closures&lt;/h1&gt;
In geometry, a &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_set" rel="nofollow"&gt;convex set&lt;/a&gt; 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 &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_hull" rel="nofollow"&gt;convex hull&lt;/a&gt; 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 &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_lattice_polytope" rel="nofollow"&gt;Z-polytope&lt;/a&gt; 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.&lt;br /&gt;
In geometry, a &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_set" rel="nofollow"&gt;convex set&lt;/a&gt; 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 &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_hull" rel="nofollow"&gt;convex hull&lt;/a&gt; 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 &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_lattice_polytope" rel="nofollow"&gt;Z-polytope&lt;/a&gt; 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.&lt;br /&gt;
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&lt;a class="wiki_link" href="/deka65625"&gt;horwell&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/deka65625"&gt;horwell&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/deka2401"&gt;breedsmic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/deka2401"&gt;breedsmic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/deka4375"&gt;ragismic&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/deka4375"&gt;ragismic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="x2)5 Dekany 1.3.5.7.11 (1.3 tonic)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;2)5 Dekany 1.3.5.7.11 (1.3 tonic)&lt;/h1&gt;
&lt;a class="wiki_link" href="/dekany_apollo"&gt;apollo&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_laka"&gt;laka&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_marvel"&gt;marvel&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_minerva"&gt;minerva&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_pele"&gt;pele&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_portent"&gt;portent&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_prodigy"&gt;prodigy&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_sensamgic"&gt;sensamagic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_thrush"&gt;thrush&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/dekany_zeus"&gt;zeus&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>