Edgar Delgado
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Notes
· integer-sequences

My Journey with Figurate Numbers

Sep 13, 2025·field notes
My Journey with Figurate Numbers

How I developed two of my most downloaded libraries that fuse mathematics, art, and music.

Counting a Figurate Property in Cayley–Dickson Algebras

Dec 27, 2025·sketch 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.

Gamma Functions for 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?

Generators as Symbolic Exploration

Sep 18, 2025·sketch notes

A reflection on the extension and unification of figurate numbers within broader mathematical contexts.

© 2026 Edgar Delgado Vega
Notes
· integer-sequences

My Journey with Figurate Numbers

Sep 13, 2025·field notes
My Journey with Figurate Numbers

How I developed two of my most downloaded libraries that fuse mathematics, art, and music.

Counting a Figurate Property in Cayley–Dickson Algebras

Dec 27, 2025·sketch 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.

Gamma Functions for 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?

Generators as Symbolic Exploration

Sep 18, 2025·sketch notes

A reflection on the extension and unification of figurate numbers within broader mathematical contexts.

© 2026 Edgar Delgado Vega
Profile Photo of Edgar Delgado Vega
  • Home
  • About me
  • Software
  • Resources
  • Notes
  • FigurateNum