Eigendrum - draw a shape and hear it as a real drum
- how it works A drumhead clamped at its rim can only vibrate in certain shapes, at certain frequencies.
- Those shapes and frequencies are the solutions of −∇²u = λu inside the shape, u = 0 on the edge Each solution u is a mode, a standing wave, and each λ gives a frequency proportional to √λ.
- This is an eigenvalue problem, and for almost every shape it has no formula.
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- how it works A drumhead clamped at its rim can only vibrate in certain shapes, at certain frequencies.
- Those shapes and frequencies are the solutions of −∇²u = λu inside the shape, u = 0 on the edge Each solution u is a mode, a standing wave, and each λ gives a frequency proportional to √λ.
- This is an eigenvalue problem, and for almost every shape it has no formula.
Sources: Eigendrum