Chladni Plate Patterns Thousands of grains self-organize along vibrational nodal lines as the plate's resonant mode slowly cycles. The plate surface is driven by the Chladni standing-wave function cos(nπx/L)cos(mπy/L) − cos(mπx/L)cos(nπy/L), where n and m are the mode numbers; grains are pushed toward the zero-crossings (nodal lines) of this field by a simulated gradient force while random jitter mimics the plate's shaking. As mode numbers change, the nodal geometry reshapes into the classic Chladni figures.

Simulation Settings