Senior Thesis, May 2009

Katherine Sanden

Advisor: Peter Sarnak

Princeton University

Integral Apollonian Circle Packings

Write-up: Integral Apollonian Circle Packings: a Prime Number Conjecture

Pictures: graph of all Descartes quadruples, mod 3

“Bugeye” packing: (-1,2,2,3)

Code: please contact ksanden@princeton.edu.