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Hi HN, I built Eigendrum, a web tool that solves the 2D wave equation for arbitrary shapes so you can hear what they sound like as drums.<p>How it works:
* Solves -∇²u = λu using finite element analysis (Kφ = λMφ) on a triangle mesh.
* Validated to &lt;0.1% error against closed-form solutions for circles (Bessel zeros) and rectangles.
* Sound model factors in strike location, Rayleigh damping, and mallet width.
* Includes Kac drums I &amp; II to demonstrate identical sound spectra from different geometries.
* No frameworks, build steps, or dependencies.<p>Repo and tests: <a href="https:&#x2F;&#x2F;github.com&#x2F;BaselAshraf81&#x2F;eigendrum" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;BaselAshraf81&#x2F;eigendrum</a><p>Happy to answer any questions about the FEM solver or Web Audio setup!<p><a href="https:&#x2F;&#x2F;eigendrum.com&#x2F;#p=circle" rel="nofollow">https:&#x2F;&#x2F;eigendrum.com&#x2F;#p=circle</a>

Show HN: Eigendrum - Draw any shape and hear what it sounds like as a drum

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<a href="https:&#x2F;&#x2F;www.nature.com&#x2F;articles&#x2F;s41573-026-01496-2" rel="nofollow">https:&#x2F;&#x2F;www.nature.com&#x2F;articles&#x2F;s41573-026-01496-2</a>

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