📐 Chladni Cymatics Plate

Explore Ernst Chladni's 1787 acoustic nodal resonance figures. Observe sand grains scatter away from high-amplitude vibrating antinodes and crystallize into intricate geometric standing wave geometries ($w(x,y)=0$).

Modal Index $m$

Modal Index $n$

Plate Geometry

Grain Density

Click/Drag on plate to scatter sand

Eigenfrequency ($f_{m,n}$)

1,048 Hz

C6 (Musical Pitch)

Nodal Line Count

8 Lines

Zero displacement contour

Modal Wavenumber ($k$)

18.3 rad/m

$\sqrt{m^2 + n^2} \cdot \pi/L$