Does anybody know of a connection between Chladni plates and algebraic topology? Any published research on the subject? I am interested to know if Chladni plates (or surfaces) can be explained/expressed in algebraic-topological terms.
Chladni Plates: http://en.wikipedia.org/wiki/Ernst_Chladni#Chladni_figures
Chladni interference surfaces: http://paulbourke.net/geometry/chladni/