# the *answer*

As a scientific discipline, cymatics is not really about the reconstruction of molecules by sound. Rather, it is concerned with the study of visible sound and vibration. Sound waves can be made visible in many ways. In a typical experimental context, something is coated or covered with fine particles or liquid. When sound frequencies are applied to the item, the coating is displaced by the waves that have been created, making the wave patterns visible.

The 17^{th} Century German physicist Ernst Chladni is regarded as the first person to theorize about sound patterns and experimentally investigate the nature of sound. His work introduced acoustics as a new branch of physics and had a profound influence on the development of wave theory.

^{p}

*C* and *p* are coefficients which depend on the properties of the plate. For thin, flat circular plates, *p* is roughly 2 and C is roughly 1, which simplifies the equation somewhat. Chaldi's law is actually a lot more complicated that this answer suggests. This formula is basically correct but there are other variables based on the properties of the plates, node location and so on. Still as an approximation, if you want to, say, create a cymatic vibration pattern that has 3 diametric and 2 radial nodes on a thin flat circular plate, you could work out the frequency as follows:

f = 1 (3+(2*2))^{2} or 7^{2} or 49 cycles per second

So to return to the question, the visible wave forms created by various frequencies can certainly be predicted mathematically but it depends upon the size, shape and physical properties of what you are vibrating.

You can conduct your own visible sound wave experiments fairly simply using a Chladni plate. Instructions for building a Chladni plate are available online here: http://www.make-digital.com/make/vol16/?pg=128#pg128

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