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	<id>https://www.sudopedia.org/index.php?action=history&amp;feed=atom&amp;title=Triangular_Connection</id>
	<title>Triangular Connection - Revision history</title>
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	<updated>2026-04-29T03:07:49Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.sudopedia.org/index.php?title=Triangular_Connection&amp;diff=526&amp;oldid=prev</id>
		<title>Rooted at 04:23, 20 January 2022</title>
		<link rel="alternate" type="text/html" href="https://www.sudopedia.org/index.php?title=Triangular_Connection&amp;diff=526&amp;oldid=prev"/>
		<updated>2022-01-20T04:23:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&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 04:23, 20 January 2022&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-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&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;* [[Crossover]]&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;* [[Crossover]]&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;div&gt;* [[Double Crossover]]&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;* [[Double Crossover]]&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;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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{example}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&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;/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;[[Category:Solving Techniques]]&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;[[Category:Solving Techniques]]&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;div&gt;[[Category:Sudoku-X]]&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;[[Category:Sudoku-X]]&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=Triangular_Connection&amp;diff=525&amp;oldid=prev</id>
		<title>Rooted: Created page with &quot;In Sudoku-X, the '''triangular connection''' solving technique can be stated as follows: : Consider a digit '''X'''. Suppose a diagonal contains only two cel...&quot;</title>
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		<updated>2022-01-20T04:23:15Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;In &lt;a href=&quot;/wiki/Sudoku-X&quot; title=&quot;Sudoku-X&quot;&gt;Sudoku-X&lt;/a&gt;, the &amp;#039;&amp;#039;&amp;#039;triangular connection&amp;#039;&amp;#039;&amp;#039; &lt;a href=&quot;/wiki/Solving_technique&quot; title=&quot;Solving technique&quot;&gt;solving technique&lt;/a&gt; can be stated as follows: : Consider a &lt;a href=&quot;/wiki/Digit&quot; title=&quot;Digit&quot;&gt;digit&lt;/a&gt; &amp;#039;&amp;#039;&amp;#039;X&amp;#039;&amp;#039;&amp;#039;. Suppose a &lt;a href=&quot;/wiki/Diagonal&quot; title=&quot;Diagonal&quot;&gt;diagonal&lt;/a&gt; contains only two cel...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In [[Sudoku-X]], the '''triangular connection''' [[solving technique]] can be stated as follows:&lt;br /&gt;
: Consider a [[digit]] '''X'''. Suppose a [[diagonal]] contains only two [[cell]]s that has '''X''' as a [[candidate]], call them '''A''' and '''B'''. Suppose another [[constraint]] contains only two [[cell]]s that has '''X''' as a [[candidate]], call them '''C''' and '''D'''. If '''A''' and '''C''' are [[peer]]s, then we can [[eliminate]] '''X''' from any cell that is [[see]]n by both '''B''' and '''D'''.&lt;br /&gt;
&lt;br /&gt;
Double crossover is a special case of [[Triangular Connection]], where the constraint containing '''C''' and '''D''' is the other diagonal.&lt;br /&gt;
&lt;br /&gt;
Like the [[Double Crossover]] technique, the triangular connection technique can be replicated using [[Color Wing]] with two [[cluster]]s, or by using the following [[chain]]:&lt;br /&gt;
 (X): B = A - C = D&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[Crossover]]&lt;br /&gt;
* [[Double Crossover]]&lt;br /&gt;
&lt;br /&gt;
{{example}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Solving Techniques]]&lt;br /&gt;
[[Category:Sudoku-X]]&lt;/div&gt;</summary>
		<author><name>Rooted</name></author>
		
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