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		<title>Apollonian sphere packing - Revision history</title>
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		<updated>2026-10-23T23:56:39Z</updated>
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		<id>http://wiki.karljones.com/index.php?title=Apollonian_sphere_packing&amp;diff=15917&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;'''Apollonian sphere packing''' is the three-dimensional equivalent of the Apollonian gasket.  == Description == File:Apollonian spheres.jpg|thumb|Apollonian sphere...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Apollonian_sphere_packing&amp;diff=15917&amp;oldid=prev"/>
				<updated>2016-05-25T00:16:11Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Apollonian sphere packing&amp;#039;&amp;#039;&amp;#039; is the &lt;a href=&quot;/index.php/Three-dimensional&quot; class=&quot;mw-redirect&quot; title=&quot;Three-dimensional&quot;&gt;three-dimensional&lt;/a&gt; equivalent of the &lt;a href=&quot;/index.php?title=Apollonian_gasket&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Apollonian gasket (page does not exist)&quot;&gt;Apollonian gasket&lt;/a&gt;.  == Description == File:Apollonian spheres.jpg|thumb|Apollonian sphere...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Apollonian sphere packing''' is the [[three-dimensional]] equivalent of the [[Apollonian gasket]].&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
[[File:Apollonian spheres.jpg|thumb|Apollonian sphere packing.]]&lt;br /&gt;
The principle of construction is very similar: with any four spheres that are cotangent to each other, it is then possible to construct two more spheres that are cotangent to four of them.&lt;br /&gt;
&lt;br /&gt;
The [[fractal dimension]] is approximately 2.473946 (±1 in the last digit).&lt;br /&gt;
&lt;br /&gt;
Software for generating and visualization of the apollonian sphere packing:&lt;br /&gt;
&lt;br /&gt;
* [[ApolFrac]]&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Apollonian gasket]]&lt;br /&gt;
* [[Fractal dimension]]&lt;br /&gt;
* [[Sphere packing]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Apollonian_sphere_packing Apollonian sphere packing] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Geometry]]&lt;br /&gt;
[[Category:Mathematics]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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