Janusson, E., Penafiel, J., MacLean, K., Macdonald, T., Paci, I., & McIndoe, J. S. (2020). Orbital shaped standing waves using Chladni plates. The Chemical Educator, 25, 88 to 91. https://web.uvic.ca/~mcindoe/128.pdf

Nothing here sets a frequency. The frequency is what these three come out to, through Mersenne's law, with the density of steel. Longer is lower, thicker is lower, tighter is higher.

Thickness belongs to a string and not to a pipe. It enters through the mass per unit length, and an air column has no mass per unit length to change. A pipe has only its length and its ends.

Drag the speaker along the plate to move it. It is the same driver the top down view uses, so the slider, the response curve and the figure all follow it.

The membrane runs at the drive frequency. That is far too fast to watch at sixty frames a second, so the whole scene, plate and sand and membrane together, is shown slowed by the factor below. Every relationship between them stays true, only the clock is different.

WASD or the arrows push the shaker across the plate. It carries momentum and bounces off the rim. Watch the strip while you drive: peaks appear and vanish, because a mode whose nodal line you are standing on cannot be woken from where you are standing.