Chladnian sound figure

Chladni plate animation
A sound is made to vibrate a plate with sand scattered on it.[br]Depending on the tone, the grains of sand will form a pattern.[br]This line pattern is called Chladnian sound figure (after Ernst Chladni 1756 - 1827)[br]With a and b you can set the oscillation ratio.[br]1: 1 is the tone C. 3: 2 the fifth is a G, 2: 1 the high C etc.[br]Note: [i]Sound only works in offline mode[/i]!
Animation
SIN: f(x)= sin([math]\frac{\prod}{2}[/math]x), g(k,x,y) = f(kx)[math]\cdot[/math]f(ky)[br]a[sub]1[/sub] g(1,x,y) + a[sub]2[/sub] g(2,x,y) + a[sub]3[/sub] g(3,x,y) + a[sub]4[/sub] g(4,x,y) + a[sub]5[/sub] g(5,x,y) + a[sub]6[/sub] g(6,x,y) = 0[br][br]COS: h(x) = cos[math]\frac{\pi}{2}[/math]x), j(k,x,y) = h(kx)[math]\cdot[/math]h(ky)[br]a[sub]1[/sub] j(1,x,y) + a[sub]2[/sub] j(2,x,y) + a[sub]3 [/sub]j(3,x,y) + a[sub]4[/sub] j(4,x,y) + a[sub]5[/sub] j(5,x,y) + a[sub]6[/sub] j(6,x,y) = 0
References
Chladni figures- Standing waves /stehende Wellen. [url=https://www.geogebra.org/u/roman]Roman Chijner[br][/url]Chladni Plate Animation. [url=https://www.geogebra.org/u/jpettit]Jeff Pettit[/url][br]Chladni Figuren.[url=https://www.geogebra.org/u/gwengler]Georg Wengler[/url]

Information: Chladnian sound figure