FigurateNum
:: Documentation

FigurateNum generates and visualizes 235+ plane, space, and multidimensional figurate number sequences and families, from polygonal numbers to Platonic solids and higher-dimensional analogues.

Built on definitions from Deza & Deza (2012), every sequence is deterministic and reproducible. Optional visualization tools cover phase portraits and modular patterns.

Learn from Scratch

Start with sequence generation and work through parametric families, higher dimensions, and visualization tools.

Start here

Mathematical Theory

Explore the basic definitions, notation, and core ideas behind figurate numbers and their geometric interpretations.

Explore theory

API Reference

Auto-generated reference for all sequence generators, ComplexViz, and DiscreteViz, organized by dimension.

View API

Contributing

Run tests, add new sequences, correct mathematical errata, and submit pull requests.

Contribute
© 2026 Edgar Delgado Vega