Notes
· figurate-numbers
Gamma Functions for Figurate Numbers
Jan 10, 2026·sketch notes
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?
Perfectoid Rings Breakdance in Sonic Pi?
May 25, 2026·sketch notes
I move through perfectoid rings, p-adic towers, and the Frobenius map, wondering if any of it could ever end up in Sonic Pi’s sandbox.
Generators as Symbolic Exploration
Sep 18, 2025·sketch notes
A reflection on the extension and unification of figurate numbers within broader mathematical contexts.