“A circle can be defined by 3 points. Draw 3 arbitrary points and find the circle they belong to.
Whenever you have a certain corner, you know there will be an infinite number of circles heading into that corner. And for every one of these infinite circles you can create a few more corners that are going to be filled with another infinite number of circles, and so on.
An Apollonian Gasket or Apollonian net is a fractal generated starting from a triple of circles, each tangent to the other two, and successively filling in more circles. This can be done with an infinite number of shapes and objects.”