Gallery of Z-polygon transversals: Difference between revisions
Wikispaces>genewardsmith **Imported revision 252483720 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 252542908 - Original comment: ** |
||
Line 1: | Line 1: | ||
<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 | : 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> | : 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> | ||
Line 69: | Line 69: | ||
[[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"><html><head><title>Gallery of Z-polygon transversals</title></head><body><!-- ws:start:WikiTextTocRule: | <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"><html><head><title>Gallery of Z-polygon transversals</title></head><body><!-- ws:start:WikiTextTocRule:12:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Z-polytopes and convex closures">Z-polytopes and convex closures</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Septimal hexany">Septimal hexany</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#x7-limit diamond">7-limit diamond</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#x9-limit diamond">9-limit diamond</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Dekatesserany (2x2x2 chord cube)">Dekatesserany (2x2x2 chord cube)</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#x2)5 Dekany 1.3.5.7.11 (1.3 tonic)">2)5 Dekany 1.3.5.7.11 (1.3 tonic)</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:19 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Z-polytopes and convex closures"></a><!-- ws:end:WikiTextHeadingRule:0 -->Z-polytopes and convex closures</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Z-polytopes and convex closures"></a><!-- ws:end:WikiTextHeadingRule:0 -->Z-polytopes and convex closures</h1> | ||
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 <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_lattice_polytope" rel="nofollow">Z-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.<br /> | 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 <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Convex_lattice_polytope" rel="nofollow">Z-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.<br /> | ||
Line 134: | Line 147: | ||
<a class="wiki_link" href="/deka65625">horwell</a><br /> | <a class="wiki_link" href="/deka65625">horwell</a><br /> | ||
<a class="wiki_link" href="/deka2401">breedsmic</a><br /> | <a class="wiki_link" href="/deka2401">breedsmic</a><br /> | ||
<a class="wiki_link" href="/deka4375">ragismic</a></body></html></pre></div> | <a class="wiki_link" href="/deka4375">ragismic</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="x2)5 Dekany 1.3.5.7.11 (1.3 tonic)"></a><!-- ws:end:WikiTextHeadingRule:10 -->2)5 Dekany 1.3.5.7.11 (1.3 tonic)</h1> | |||
<a class="wiki_link" href="/dekany_apollo">apollo</a><br /> | |||
<a class="wiki_link" href="/dekany_laka">laka</a><br /> | |||
<a class="wiki_link" href="/dekany_marvel">marvel</a><br /> | |||
<a class="wiki_link" href="/dekany_minerva">minerva</a><br /> | |||
<a class="wiki_link" href="/dekany_pele">pele</a><br /> | |||
<a class="wiki_link" href="/dekany_portent">portent</a><br /> | |||
<a class="wiki_link" href="/dekany_prodigy">prodigy</a><br /> | |||
<a class="wiki_link" href="/dekany_sensamgic">sensamagic</a><br /> | |||
<a class="wiki_link" href="/dekany_thrush">thrush</a><br /> | |||
<a class="wiki_link" href="/dekany_zeus">zeus</a></body></html></pre></div> |