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arXiv · 2607.10556

(Not) hearing where certain triangular drums are struck

Tyler Dixon·Alif Miah·Nikita Safronov·Sean Snyder·Anatolii Vakaryuk·Emmett Wyman
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Abstract

We investigate whether or not one can hear at what point (up to symmetry) a drum is struck for some special planar triangles. We prove that one can hear where the equilateral and isosceles right triangles are struck. We also prove that the 30-60-90 triangle, surprisingly, has two audibly indistinguishable points. This is the first known topologically connected such example.

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Tyler Dixon, Alif Miah, Nikita Safronov, Sean Snyder, Anatolii Vakaryuk, Emmett Wyman. 2026-07-12. (Not) hearing where certain triangular drums are struck. https://arxiv.org/abs/2607.10556

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