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by kkwteh
1372 days ago
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A concrete example of how math unveils a hidden structure and order is how any rotated spherical harmonic can be expressed as a linear combination of other (unrotated) spherical harmonics within the same family. It is one of many examples of an amazing fact so wild, that no one could have dreamed of it before it was discovered. I chose this as an example, because it can be expressed purely in terms of geometry, is straightforward to understand, and yet stunningly beautiful (at least to me). Here's a link to some visualisations: https://vinequai.com/sphericalharmonics |
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