Cymatics - Sound Shape Generator

Hello everyone,
I’m wondering, is there any plugin/script you know of that creates realistic cymatic patterns/curves based on the frequency waveform?

I mean actual shapes of it, not the representative fractals like many does online…

The actual 2D representative of 3D forms like sound plates.

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Any idea, anyone?

Parakeet plugin for GH has a component for it here

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To actually create those shapes, one has to first understand the physical phenomenon. I have not research this topic, but it seems to be the collection of sand at the valleys of certain eigenform of a circular plate, i.e. the contour at a lower z-coordinate.

Geometrically this is not so hard, once the eigenform has been found. Nearly all FE packages have the eigenmodes natively implemented. So I would try out Alpaca4D (free, open source) or Karamba3D.

Some years ago I made a small Christmas present, by simulating the eigenform of a rectangular plate with certain supports and just milled the result. I guess the shape you are after are just valleys of those shapes - but I might be wrong.

p.s.: not sure, but there might be analytical solution to these shapes as well. Somewhere hidden in a crazy textbook or sth