Blog / tag / figurate-numbers
Jan 10, 2026 · Sketch Notes
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?
May 25, 2026 · Sketch Notes
Perfectoid Rings Breakdance in Sonic Pi?
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.
Sep 18, 2025 · Sketch Notes
Generators as Symbolic Exploration
A reflection on the extension and unification of figurate numbers within broader mathematical contexts.