Apollonian Gasket

It took me an embarrassingly long time to write a program to generate this fractal known as the Apollonian Gasket:

More information here:

Apollonian gasket – Wikipedia, the free encyclopedia

Each circle is labelled with its curvature (which is simple the reciprocal of the radius). In this particular instance, all the curvatures turn out to be integers. Not really sure why I think this is interesting, but there you are.

4 thoughts on “Apollonian Gasket”

  1. This provided at least 10 minutes of intellectual stimulation – I glanced at the picture and asked myself: “Why can’t you use this to trisect an angle?” A little sketching revealed the answer; you can’t draw it without trisecting angles.

Comments are closed.