Happy Pi Day 2024! In this video, I attempt to create an Apollonian Gasket using the Descartes Circle Theorem and complex numbers. So many circles!

Wikipedia page about the Apollonian Gasket.

Article by Dana Mackenzie about the Apollonian gasket

Blog post about Apollonian Gaskets.

Paper about the Descartes circle theorem by Jeffrey C. Lagarias, Colin L. Mallows, and Allan R. Wilks.

Poem by Frederick Soddy about the Apollonian Gasket

Wikipedia page about Frederick Soddy.

Wikipedia page describing the Problem of Apollonius.

Proof of Descartes Circle Theorem

Paper by Jeffrey C. Lagarias, Colin L. Mallows, and Allan R. Wilks about the complex Descartes Theorem.

Wikipedia page about the Descartes theorem.

Javascript library implementing math operations for complex numbers.

- Editing
by Mathieu Blanchette

- Animations
by Jason Heglund