Cesare Marilungo wrote: > Martin Peach wrote: > >> Charles Henry wrote: >> >> >>> The sand still could be tricky... you would maybe have the individual >>> particles at random locations, initially, and compute a gradient of >>> the vibrations to determine movements. >>> >>> >>> >> When I saw the sand arranging itself I thought "cellular automaton". >> >> Martin >> >> > I thought that the patterns and the various configurations in chladni > figures depend on the materials used. > > Am I wrong? > > c. > The patterns probably depend on the stiffness of the plate/membrane as well as its shape, and the grain size and density of the sand. By analogy with the Karplus-Strong vibrating string, which is a one-dimensional CA, usually the stiffness of the string is ignored. Also, the grain size would be the same as the pixel size and the density would be ignored. I see it as being like 2D version of the KS waveguide, with the superimposed grains moving in each time step towards the neighbour whose vertical acceleration is the lowest among 8 neighbours. Apart from the difficulty of doing a 2D KS, there is the further complication of an external frequency forcing (maybe introduced at the edges of the plate?).
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