Chladni Patterns are formed when sand settles at the nodes of two dimensional standing waves,
excited on a metallic plate which is driven at a resonant frequency. By considering a twodimensional rectangular membrane with fixed boundary and constant density as an idealized model
of the metal plate, a formula for predicting the Chladni Patterns that will form at certain
frequencies can be found. In addition to mathematically exploring these mysterious patterns, I have
created my own "Chladni Patterns" in the lab.
