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title: 'Three cylinders: random geometry geekery'
permalink: '/three_cylinders/'
tags: ['math', '3d objects']
The intersection of three cylinders (and six half-cylinders) are interesting
objects and make for fun random desk objects. They are also fun to build out
of wood (takes some time) or 3D print (mostly trivial).
The intersection of three cylinder at a right angle results in a
Steinmetz solid. Calculating the volume of the intersection is a classic
math puzzle.
<img src="/files/2015/three_cylinders/three_cylinders.gif">
<small>(image courtesy of Van Helsing)</small>
<p>I made a virtual 3d model that you can interact with in <a href="">openjscad</a>.</p>
The intersection of six cylinders results in a cube, which can seem counter
intuitive at first given that cylinders are curved objects.
<img src="/files/2015/three_cylinders/six_cylinders.jpg">
<p>You can also play with this case in <a href="">openjscad</a>.</p>
<p>If you like interesting geometric shapes, make sure to checkout <a href="">mehtikruton's online store</a>, full of fun 3d printed objects! <a href="">Loxodrome Spirals</a> are fun
to look at too.</p>