My Journey with Figurate Numbers
How I developed two of my most downloaded libraries that fuse mathematics, art, and music.
Two Years Leading to FigurateNum v3 Visualizations in the Complex Plane
A short personal note on the visualization layer of FigurateNum v3, where figurate numbers enter the complex plane through domain coloring.
Category of Modules and Type-Level Programming with Figurate Numbers
I invite you to explore the intersection of figurate numbers and module theory, where type-level programming unlocks new possibilities for math and live coding music.
Do Group Actions Define Regular Polytopes and Polytypes in Type Systems?
I introduce an analogy between transitive group actions on flags of polytopes and type systems. This speculative concept aims to offer a naive way of understanding and classifying types through symmetry.
Counting a Figurate Property in Cayley–Dickson Algebras
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.