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?).
Martin