Tag Archives: bend

Apollonian gaskets and Descartes’ Theorem II

Posted on June 10, 2016 by Brent

In a few previous posts I wrote about “kissing sets” of four mutually tangent circles, and the fact that their signed bends satisfy Descartes’ Theorem, (Remember that the signed bend of a circle is like the curvature , except that … Continue reading →

Posted in geometry, pattern, pictures, recursion | Tagged , , , , , , , | 1 Comment

Apollonian gaskets and Descartes’ Theorem

Posted on May 4, 2016 by Brent

In my previous post, I explained a recursive procedure for drawing Apollonian gaskets. Given any three mutually tangent circles, there are exactly two other circles which are mutually tangent to all three (forming what we called a “kissing set”). This … Continue reading →

Posted in geometry, pattern, pictures, recursion | Tagged , , , , , | 2 Comments