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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Rule_30</id>
		<title>Rule 30 - Revision history</title>
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		<updated>2026-10-23T16:44:19Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
		<generator>MediaWiki 1.24.2</generator>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Rule_30&amp;diff=20192&amp;oldid=prev</id>
		<title>Karl Jones at 13:38, 4 January 2018</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Rule_30&amp;diff=20192&amp;oldid=prev"/>
				<updated>2018-01-04T13:38:12Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 13:38, 4 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://en.wikipedia.org/wiki/Rule_30 Rule 30] @ Wikipedia&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://en.wikipedia.org/wiki/Rule_30 Rule 30] @ Wikipedia&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:black; 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;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* [https://boingboing.net/2018/01/04/a-train-station-with-walls-des.html A train station with walls designed using cellular automata &amp;quot;Rule 30&amp;quot;] @ Boing Boing&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Algorithms]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Algorithms]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Cellular automata]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Cellular automata]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Complexity]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Complexity]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Rule_30&amp;diff=14732&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;'''Rule 30''' is a one-dimensional binary cellular automaton rule introduced by Stephen Wolfram in 1983.  == Description ==  Using Wolfram's classification scheme, Rul...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Rule_30&amp;diff=14732&amp;oldid=prev"/>
				<updated>2016-05-05T00:02:14Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Rule 30&amp;#039;&amp;#039;&amp;#039; is a one-dimensional binary &lt;a href=&quot;/index.php/Cellular_automaton&quot; title=&quot;Cellular automaton&quot;&gt;cellular automaton&lt;/a&gt; rule introduced by &lt;a href=&quot;/index.php?title=Stephen_Wolfram&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Stephen Wolfram (page does not exist)&quot;&gt;Stephen Wolfram&lt;/a&gt; in 1983.  == Description ==  Using Wolfram&amp;#039;s classification scheme, Rul...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Rule 30''' is a one-dimensional binary [[cellular automaton]] rule introduced by [[Stephen Wolfram]] in 1983.&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
Using Wolfram's classification scheme, Rule 30 is a Class III rule, displaying aperiodic, chaotic behavior.&lt;br /&gt;
&lt;br /&gt;
This rule is of particular interest because it produces complex, seemingly random patterns from simple, well-defined rules.&lt;br /&gt;
&lt;br /&gt;
Because of this, Wolfram believes that Rule 30, and cellular automata in general, are the key to understanding how simple rules produce complex structures and behavior in nature.&lt;br /&gt;
&lt;br /&gt;
For instance, a pattern resembling Rule 30 appears on the shell of the widespread cone snail species ''[[Conus textile]]''.&lt;br /&gt;
&lt;br /&gt;
Rule 30 has also been used as a [[random number generator]] in [[Mathematica]], and has also been proposed as a possible stream cipher for use in [[cryptography]].&lt;br /&gt;
&lt;br /&gt;
Rule 30 is so named because 30 is the smallest Wolfram code which describes its rule set.&lt;br /&gt;
&lt;br /&gt;
The mirror image, complement, and mirror complement of Rule 30 have Wolfram codes 86, 135, and 149, respectively.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Cellular automaton]]&lt;br /&gt;
* [[Complexity]]&lt;br /&gt;
* [[Rule 90]]&lt;br /&gt;
* [[Rule 110]]&lt;br /&gt;
* [[Rule 184]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Rule_30 Rule 30] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Algorithms]]&lt;br /&gt;
[[Category:Cellular automata]]&lt;br /&gt;
[[Category:Complexity]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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