Software

Figurate Numbers for Python (13k+ downloads)

A library that generates 235 infinite figurate number sequences, revealing their patterns across multiple dimensions. Based on the book "Figurate Numbers" (2012) by Elena Deza and Michel Deza.

RubyGems | Ruby

Exploring Fermat’s Last Theorem with Sonic Pi (800+ downloads)

An early-stage toolkit for exploring modular forms and elliptic curves through Sonic Pi. It makes abstract math concepts like Eisenstein series Eₖ(τ), Dedekind eta functions η(τ), SL(2,ℤ) group, theta functions ϑ, Hecke operators Tₚ, Dirichlet characters χ, elliptic curves over ℚ and 𝔽ₚ, p-adic fields, creatively accessible. Inspired by SageMath, Pari/GP, and LMFDB database, it aims to bridge deep number theory with algorithmic music.

npm | TypeScript

ts-tonnetz: Neo-Riemannian Theory Toolkit for Live Coding

A comprehensive Neo-Riemannian Theory library featuring 67 transformations, graphs, and cycles, designed for musicians, mathematicians, and engineers. Built upon two doctoral theses and foundational research.

RubyGems | Ruby

Figurate Numbers for Sonic Pi (4k+ downloads)

This Ruby gem enables the generation of 241 infinite sequences of plane, spatial, and multidimensional figurate numbers. It is designed for use in your math projects or with Sonic Pi. Based on the book "Figurate Numbers" (2012) by Elena Deza and Michel Deza.

npm | TypeScript

npm Package for Figurate Numbers

A library for generating infinite figurate number sequences, connected to geometric shapes in multiple dimensions. Based on "Figurate Numbers" (2012) by Elena Deza and Michel Deza.

Topos | TypeScript

ts-tonnetz in the New Live Coding Environment Topos

Since December 2023, my library 'ts-tonnetz' is part of the Topos live coding environment created by Raphaël Forment and Miika Alonen. It serves as a dependency for Ziffers, a numerical notation system. For your convenience, I wrote documentation that synthesizes two PhD theses on Mathematical Music Theory and other key research.

LuaRocks | Lua

Figurate Numbers Library for Lua

figurate-numbers is the most comprehensive and specialized module for figurate numbers written in Lua to date. It implements 235 infinite number sequences based on the remarkable book Figurate Numbers by Elena Deza and Michel Deza, published in 2012.