Chladnian sound figure
Chladni plate animation
A sound is made to vibrate a plate with sand scattered on it.
Depending on the tone, the grains of sand will form a pattern.
This line pattern is called Chladnian sound figure (after Ernst Chladni 1756 - 1827)
With a and b you can set the oscillation ratio.
1: 1 is the tone C. 3: 2 the fifth is a G, 2: 1 the high C etc.
Note: Sound only works in offline mode!
Animation
SIN: f(x)= sin(x), g(k,x,y) = f(kx)f(ky)
a1 g(1,x,y) + a2 g(2,x,y) + a3 g(3,x,y) + a4 g(4,x,y) + a5 g(5,x,y) + a6 g(6,x,y) = 0
COS: h(x) = cosx), j(k,x,y) = h(kx)h(ky)
a1 j(1,x,y) + a2 j(2,x,y) + a3 j(3,x,y) + a4 j(4,x,y) + a5 j(5,x,y) + a6 j(6,x,y) = 0
References
Chladni figures- Standing waves /stehende Wellen. Roman Chijner
Chladni Plate Animation. Jeff Pettit
Chladni Figuren.Georg Wengler