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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Surface_Evolver</id>
		<title>Surface Evolver - Revision history</title>
		<link rel="self" type="application/atom+xml" href="http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Surface_Evolver"/>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Surface_Evolver&amp;action=history"/>
		<updated>2026-10-23T18:09:25Z</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=Surface_Evolver&amp;diff=19188&amp;oldid=prev</id>
		<title>Karl Jones: /* External links */</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Surface_Evolver&amp;diff=19188&amp;oldid=prev"/>
				<updated>2016-10-13T02:18:12Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;External links&lt;/span&gt;&lt;/span&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 02:18, 13 October 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 19:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 19:&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;== External links ==&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;== External links ==&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 colspan=&quot;2&quot;&gt;&amp;#160;&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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [http://facstaff.susqu.edu/b/brakke/evolver/evolver.html Official website]&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;div&gt;* [https://en.wikipedia.org/wiki/Surface_Evolver Surface Evolver] @ 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/Surface_Evolver Surface Evolver] @ Wikipedia&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:Mathematics]]&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:Mathematics]]&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:Software]]&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:Software]]&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=Surface_Evolver&amp;diff=19187&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;'''Surface Evolver''' is an interactive program for the study of surfaces shaped by surface tension and other energies, and subject to various const...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Surface_Evolver&amp;diff=19187&amp;oldid=prev"/>
				<updated>2016-10-13T02:14:16Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Surface Evolver&amp;#039;&amp;#039;&amp;#039; is an interactive program for the study of &lt;a href=&quot;/index.php?title=Surface_(topology)&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Surface (topology) (page does not exist)&quot;&gt;surfaces&lt;/a&gt; shaped by &lt;a href=&quot;/index.php?title=Surface_tension&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Surface tension (page does not exist)&quot;&gt;surface tension&lt;/a&gt; and other energies, and subject to various const...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Surface Evolver''' is an interactive program for the study of [[Surface (topology)|surfaces]] shaped by [[surface tension]] and other energies, and subject to various constraints.&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
A surface is implemented as a [[simplicial complex]]. The user defines an initial surface in a datafile. The Evolver evolves the surface toward minimal energy by a [[gradient descent]] method. The aim can be to find a minimal energy surface, or to model the process of evolution by mean curvature.&lt;br /&gt;
&lt;br /&gt;
The energy in the Evolver can be a combination of surface tension, gravitational energy, squared mean curvature, user-defined surface integrals, or knot energies.&lt;br /&gt;
&lt;br /&gt;
The Evolver can handle arbitrary [[topology]], volume constraints, boundary constraints, boundary [[Contact angle|contact angles]], prescribed mean curvature, crystalline integrands, gravity, and constraints expressed as surface integrals. The surface can be in an [[ambient space]] of arbitrary dimension, which can have a Riemannian metric, and the ambient space can be a quotient space under a group action.&lt;br /&gt;
&lt;br /&gt;
Evolver was written at The Geometry Center, sponsored by the National Science Foundation, the Department of Energy, Enterprise Minnesota, and the University of Minnesota.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Ambient space]]&lt;br /&gt;
* [[Gradient descent]]&lt;br /&gt;
* [[Minimal surface]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Surface_Evolver Surface Evolver] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;br /&gt;
[[Category:Software]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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