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	<id>https://en.formulasearchengine.com/index.php?action=history&amp;feed=atom&amp;title=HARP_%28algorithm%29</id>
	<title>HARP (algorithm) - Revision history</title>
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	<updated>2026-04-06T05:23:00Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=HARP_(algorithm)&amp;diff=27946&amp;oldid=prev</id>
		<title>en&gt;BD2412: Disambiguated: Circulation → Circulation (journal)</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/index.php?title=HARP_(algorithm)&amp;diff=27946&amp;oldid=prev"/>
		<updated>2013-06-19T00:59:21Z</updated>

		<summary type="html">&lt;p&gt;Disambiguated: &lt;a href=&quot;/index.php?title=Circulation&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Circulation (page does not exist)&quot;&gt;Circulation&lt;/a&gt; → &lt;a href=&quot;/index.php?title=Circulation_(journal)&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Circulation (journal) (page does not exist)&quot;&gt;Circulation (journal)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ &lt;br /&gt;
1&amp;lt;sub&amp;gt;3k&amp;lt;/sub&amp;gt; dimensional figures&lt;br /&gt;
|-&lt;br /&gt;
!n &lt;br /&gt;
![[Four-dimensional space|4]]&lt;br /&gt;
![[Five-dimensional space|5]]&lt;br /&gt;
![[Six-dimensional space|6]]&lt;br /&gt;
![[Seven-dimensional space|7]]&lt;br /&gt;
![[Eight-dimensional space|8]]&lt;br /&gt;
![[Nine-dimensional space|9]]&lt;br /&gt;
|- align=center&lt;br /&gt;
![[Coxeter group|Coxeter&amp;lt;BR&amp;gt;group]]&lt;br /&gt;
|A&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;×A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&lt;br /&gt;
|A&amp;lt;sub&amp;gt;5&amp;lt;/sub&amp;gt;&lt;br /&gt;
|D&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;&lt;br /&gt;
|[[E7 (mathematics)|E&amp;lt;sub&amp;gt;7&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
|&amp;lt;math&amp;gt;{\tilde{E}}_{7}&amp;lt;/math&amp;gt;=E&amp;lt;sub&amp;gt;7&amp;lt;/sub&amp;gt;&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|E&amp;lt;sub&amp;gt;7&amp;lt;/sub&amp;gt;&amp;lt;sup&amp;gt;++&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- align=center&lt;br /&gt;
![[Coxeter-Dynkin diagram|Coxeter&amp;lt;BR&amp;gt;diagram]]&lt;br /&gt;
|{{CDD|node|3|node|3|node|2|node_1}}&lt;br /&gt;
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01l}}&lt;br /&gt;
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea}}&lt;br /&gt;
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea|3a|nodea}}&lt;br /&gt;
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea|3a|nodea|3a|nodea}}&lt;br /&gt;
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea|3a|nodea|3a|nodea|3a|nodea}}&lt;br /&gt;
|- align=center&lt;br /&gt;
![[Coxeter notation|Symmetry]]&amp;lt;BR&amp;gt;(order)&lt;br /&gt;
|[3&amp;lt;sup&amp;gt;-1,3,1&amp;lt;/sup&amp;gt;]&amp;lt;BR&amp;gt;(48)&lt;br /&gt;
|[3&amp;lt;sup&amp;gt;0,3,1&amp;lt;/sup&amp;gt;]&amp;lt;BR&amp;gt;(720)&lt;br /&gt;
|[3&amp;lt;sup&amp;gt;1,3,1&amp;lt;/sup&amp;gt;]&amp;lt;BR&amp;gt;(23,040)&lt;br /&gt;
|[3&amp;lt;sup&amp;gt;2,3,1&amp;lt;/sup&amp;gt;]&amp;lt;BR&amp;gt;(2,903,040)&lt;br /&gt;
|[[3&amp;lt;sup&amp;gt;3,3,1&amp;lt;/sup&amp;gt;]]&amp;lt;BR&amp;gt;(&amp;amp;infin;)&lt;br /&gt;
|[3&amp;lt;sup&amp;gt;4,3,1&amp;lt;/sup&amp;gt;]&amp;lt;BR&amp;gt;(&amp;amp;infin;)&lt;br /&gt;
|- align=center&lt;br /&gt;
!Graph&lt;br /&gt;
|&lt;br /&gt;
|[[File:5-simplex t0.svg|80px]]&lt;br /&gt;
|[[File:Demihexeract ortho petrie.svg|80px]]&lt;br /&gt;
|[[File:Up2 1 32 t0 E7.svg|80px]]&lt;br /&gt;
|&amp;amp;infin;&lt;br /&gt;
|&amp;amp;infin;&lt;br /&gt;
|- align=center&lt;br /&gt;
!Name&lt;br /&gt;
|[[dihedron|1&amp;lt;sub&amp;gt;3,-1&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
|[[5-simplex|1&amp;lt;sub&amp;gt;30&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
|[[6-demicube|1&amp;lt;sub&amp;gt;31&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
|[[1 32 polytope|1&amp;lt;sub&amp;gt;32&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
|[[1 33 honeycomb|1&amp;lt;sub&amp;gt;33&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
|1&amp;lt;sub&amp;gt;34&amp;lt;/sup&amp;gt;&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>en&gt;BD2412</name></author>
	</entry>
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