Blog - figurate numbers
Generators as Symbolic Exploration
A reflection on the extension and unification of figurate numbers within broader mathematical contexts.
ReadTowards Gamma Functions for Figurate Numbers
I plant a question motivated by generalizing the GCD to varieties and inspired by Euler's interpolation: Does there exist a function attached to each figurate number that extends it to continuous domains, analogous to how the Gamma function extends the factorial?
ReadCategory of Modules and Type-Level Programming with Figurate Numbers
A piece on the intersection of figurate numbers and theory of modules, demonstrating how type-level programming unlocks new ideas for math and live coding music.
ReadMy Journey with Figurate Numbers
How I developed two of my most downloaded libraries that fuse mathematics, art, and music.
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