Notes
· integer-sequences
Gamma Functions for Figurate Numbers
Jan 10, 2026sketch 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?
Counting a Figurate Property in Cayley–Dickson Algebras
Dec 27, 2025sketch notes
A naive question about Cayley-Dickson algebras, enumerated by a figurate number via type systems, and how that question naturally incorporates itself into other algebraic structures and particularities.
Generators as Symbolic Exploration
Sep 18, 2025sketch notes
A reflection on the extension and unification of figurate numbers within broader mathematical contexts.
My Journey with Figurate Numbers
Sep 13, 2025field notes
How I developed two of my most downloaded libraries that fuse mathematics, art, and music.