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		<updated>2026-10-23T17:46:34Z</updated>
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		<id>http://wiki.karljones.com/index.php?title=Torus&amp;diff=16687&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;In geometry, a '''torus''' (plural '''tori''') is a surface of revolution generated by revolving a circle in Three-dimensional space (mathematics)|three-dimensional...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Torus&amp;diff=16687&amp;oldid=prev"/>
				<updated>2016-08-20T03:31:24Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;In &lt;a href=&quot;/index.php/Geometry&quot; title=&quot;Geometry&quot;&gt;geometry&lt;/a&gt;, a &amp;#039;&amp;#039;&amp;#039;torus&amp;#039;&amp;#039;&amp;#039; (plural &amp;#039;&amp;#039;&amp;#039;tori&amp;#039;&amp;#039;&amp;#039;) is a surface of revolution generated by revolving a &lt;a href=&quot;/index.php/Circle&quot; title=&quot;Circle&quot;&gt;circle&lt;/a&gt; in Three-dimensional space (mathematics)|three-dimensional...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In [[geometry]], a '''torus''' (plural '''tori''') is a surface of revolution generated by revolving a [[circle]] in [[Three-dimensional space (mathematics)|three-dimensional space]] about an axis coplanar with the circle.&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.&lt;br /&gt;
&lt;br /&gt;
Real-world examples of toroidal objects include inner tubes, swim rings, and the surface of a doughnut or bagel.&lt;br /&gt;
&lt;br /&gt;
A torus should not be confused with a solid torus, which is formed by rotating a disk, rather than a circle, around an axis.&lt;br /&gt;
&lt;br /&gt;
A solid torus is a torus plus the volume inside the torus.&lt;br /&gt;
&lt;br /&gt;
Real-world approximations include doughnuts, vadai or vada, many lifebuoys, and O-rings.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Algebraic torus]]&lt;br /&gt;
* [[Angenent torus]]&lt;br /&gt;
* [[Annulus (mathematics)]]&lt;br /&gt;
* [[Clifford torus]]&lt;br /&gt;
* [[Complex torus]]&lt;br /&gt;
* [[Dupin cyclide]]&lt;br /&gt;
* [[Elliptic curve]]&lt;br /&gt;
* [[Irrational cable on a torus]]&lt;br /&gt;
* [[Joint European Torus]]&lt;br /&gt;
* [[Klein Bottle]]&lt;br /&gt;
* [[Loewner's torus inequality]]&lt;br /&gt;
* [[Maximal torus]]&lt;br /&gt;
* [[Period lattice]]&lt;br /&gt;
* [[Real projective plane]]&lt;br /&gt;
* [[Sphere]]&lt;br /&gt;
* [[Spiric section]]&lt;br /&gt;
* [[Surface]]&lt;br /&gt;
* [[Toric lens]]&lt;br /&gt;
* [[Toric section]]&lt;br /&gt;
* [[Toric variety]]&lt;br /&gt;
* [[Toroid]]&lt;br /&gt;
* [[Toroidal and poloidal]]&lt;br /&gt;
* [[Torus-based cryptography]]&lt;br /&gt;
* [[Torus knot]]&lt;br /&gt;
* [[Tube torus]]&lt;br /&gt;
* [[Umbilic torus]]&lt;br /&gt;
* [[Villarceau circles]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Torus Torus] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
[[Category:Geometry]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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