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	<id>https://www.sudopedia.org/index.php?action=history&amp;feed=atom&amp;title=Oriented_Chains</id>
	<title>Oriented Chains - Revision history</title>
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	<updated>2026-04-29T05:28:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.sudopedia.org/index.php?title=Oriented_Chains&amp;diff=579&amp;oldid=prev</id>
		<title>Rooted at 18:21, 20 July 2025</title>
		<link rel="alternate" type="text/html" href="https://www.sudopedia.org/index.php?title=Oriented_Chains&amp;diff=579&amp;oldid=prev"/>
		<updated>2025-07-20T18:21:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 18:21, 20 July 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Oriented chains''' are generalisations of the basic &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/del&gt;xy-chain|xy‑chains&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Oriented chains''' are generalisations of the basic xy-chain|xy‑chains.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The central idea is that the information collected from previous candidates in a chain (and/or from the target) can be used to select the next candidates. Oriented chains are either 2‑D or 3‑D:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The central idea is that the information collected from previous candidates in a chain (and/or from the target) can be used to select the next candidates. Oriented chains are either 2‑D or 3‑D:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Rooted</name></author>
		
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	<entry>
		<id>https://www.sudopedia.org/index.php?title=Oriented_Chains&amp;diff=578&amp;oldid=prev</id>
		<title>Rooted: Created page with &quot;'''Oriented chains''' are generalisations of the basic xy‑chains.  The central idea is that the information collected from previous candidates in a chain (and/o...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.sudopedia.org/index.php?title=Oriented_Chains&amp;diff=578&amp;oldid=prev"/>
		<updated>2025-07-20T18:20:40Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Oriented chains&amp;#039;&amp;#039;&amp;#039; are generalisations of the basic &lt;a href=&quot;/index.php?title=Xy-chain&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Xy-chain (page does not exist)&quot;&gt;xy‑chains&lt;/a&gt;.  The central idea is that the information collected from previous candidates in a chain (and/o...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Oriented chains''' are generalisations of the basic [[xy-chain|xy‑chains]].&lt;br /&gt;
&lt;br /&gt;
The central idea is that the information collected from previous candidates in a chain (and/or from the target) can be used to select the next candidates. Oriented chains are either 2‑D or 3‑D:&lt;br /&gt;
&lt;br /&gt;
* '''Oriented 2‑D chains''': xyt‑chains, xyz‑chains and xyzt‑chains, together with their ''hidden'' counterparts: hxyt‑chains, hxyz‑chains and hxyzt‑chains;&lt;br /&gt;
* '''[[Oriented 3D chains]]''': nrct‑chains, nrcz‑chains, nrczt‑chains.&lt;br /&gt;
&lt;br /&gt;
(The original reference to all these chains is the book ''The Hidden Logic of Sudoku''. Further web references forthcoming.)&lt;/div&gt;</summary>
		<author><name>Rooted</name></author>
		
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