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Alexander Chervov
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What do numbers look like? ( John Williamson) https://johnhw.github.io/umap_primes/index.md.html

Very interesting visualizations have been obtained relatively recently. Just the integers from 1 to 1 mio have been considered, each integer converted to a vector corresponding to its prime decomposition, thus obtained a dataset in higher-dimensional space, and final step is applying dimensional reduction technique (UMAP (see e.g. John Baez's blog for discussion)) to get 2-dimensional matrix which is visualized.

Other sequences can be processed in a similar way to get more beautiful pictures (see the link above).

What do numbers look like? ( John Williamson)

Alexander Chervov
  • 26.3k
  • 20
  • 113
  • 222