The C4D peeps are having a bunch of fun with this, so why not join the party? (Well, looking in from the outside, I guess . . .)
If you Google "chladni pattern formula", you can pick up the formula from the first result, and just directly plonk it down into a Point Wrangle. Generate a couple of sliders, and Bob's your uncle.
I also added a locator to alter the center point, for more variety. Scene file attached below.
houdini_VkTEEjYWSH.mp4
Chladni Patterns.hiplc