Árpád Kurusa - Can you here the shape of a drum?

Can you here the shape of a drum?

Details: Published on 2011. június 08. szerda, 10:24

In mathematical sense the question in the title was raised by M. Kac in 1962. Here just a circumspection of some notable experiment follows. Oh and the solution.

Drum solo, duett and trio by Phil Collins et. al.!

To obtain more experience I recommend the following ones.

Drum duet by Phil Collins and Chester Thompson.
The drum duet played by Phil Collins and Chester Thompson at Genesis' concert in Wembley.
Finally The Top 10 Drum Legends and their Drum Kits. The 3rd (Phil Collins), the 4th (Bill Bruford) and the 5th (Alan White) is highly recommended. :-)

The answer to M. Kac mathematical question is the following two weird drums with different shapes, but with the same sound:

$Different drums with the same sound.$

To those who are interested in more detail in this subject, and would like to see some specific calculations at least for the one-dimensional drums, i.e. for the strings, I suggest to pay attention to my introductory paper that appeared in the Polygon 's 7th issue in 1994, which can be downloaded from my download pages.

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Can you here the shape of a drum?

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Can you here the shape of a drum?