Chladni Figure
Fundamental (1,1)
full plate — no nodal lines
(2,2) Cross
two nodal lines — four quadrants
(3,3) Lattice
grid of nine cells
(1,2)+(2,1) Rotating X
degenerate pair — spinning star
(1,3)+(3,1) Four-Petal
degenerate pair — flower rosette
(2,3)+(3,2) Spider
degenerate pair — six-lobed web
(3,4)+(4,3) Asterisk
eight-lobed star pattern
Mode n
1
Mode m
1
2nd mode amp
0.00
Phase φ
0.00π
Speed
1.00
Sand width
0.22
● Sand
↺ Spin
⏸ Pause
Sand = Chladni nodal glow
Spin = animate phase φ
2nd mode = degenerate
partner (n,m)⇔(m,n)
n,m:
1,1
ω:
4.44
φ:
0.00π
t:
0.00
u = ∑Aₙₘ sin(nπx) sin(mπy) cos(ωₙₘt + φ)
Presets
— famous Chladni figures
Spin
— rotate degenerate modes
Space
— pause / play