Awesome interactive math

A curated list of tools that can be used for creating interactive mathematical explorables on the web. See also explorabl.es list.

Tools

• CindyJS - a framework to create interactive (mathematical) content for the web.
• D3.js - a JavaScript library for manipulating documents based on data.
• Desmos API - dead-simple way to embed rich, interactive math into your web page or web app.
• Euclid JS - Euclidean geometry in javascript.
• Geogebra embeded
• Grafar - a javascript library for reactive, 3D mathematical visualization (data visualization capabilities coming sometime). Built on top of WebGL (via Three.js).
• JSXGraph - a cross-browser JavaScript library for interactive geometry, function plotting, charting, and data visualization in the web browser.
• Mafs - a set of opinionated React components for creating math visualizations.
• MathBox - a library for rendering presentation-quality math diagrams in a browser using WebGL. Built on top of Three.js and ShaderGraph, it provides a clean API to visualize mathematical relationships and animate them declaratively.
• MathCell - a simple straightforward way to include interactive mathematics in a web page.
• Mathigon - open-source TypeScript libraries for creating and hosting interactive courses or virtual manipulatives.
• Observable - a platform for creating interactive explorables.
• p5.js - a JavaScript library for creative coding, with a focus on making coding accessible and inclusive for artists, designers, educators, beginners...
• pts - a library for visualization and creative-coding
• Liqvid - library for interactive videos in React.
• SageMath WebGL Renderer
• Shiny - an R package that makes it easy to build interactive web apps straight from R.
• three.js - a cross-browser JavaScript library and application programming interface used to create and display animated 3D computer graphics in a web browser using WebGL.
• hyperbolic-map - a JavaScript library that displays an interactive, scrollable map in hyperbolic Poincaré disk projection. Scroll through Escher-style tilings, genealogical trees with custom art, make cellular automata visualizations, etc., by writing applications and importing your own art from SVG.

Examples

Articles

• An interactive introduction to Fourier transforms (Jez Swanson)
• How to Fold a Julia Fractal (Steven Wittens)
• Let's remove quaternions from every 3D engine (Marc ten Bosch)
• Interactive tutorial of the sequent calculus (Edward Z. Yang)
• Pythagorean theorem (Victor Powell) and other aricles on setosa.io
• A primer on Bézier curves (Pomax)
• Sphere eversion (Ricky Reusser)
• Tesseract (Bartosz Ciechanowski)
• Visualizing Geodesics on Surfaces (Paul Masson) and other articles on analyticphysics.com
• Why Momentum Really Works, (Gabriel Goh) and other articles on distill.pub

Books

• Complex analysis, Juan Carlos Ponce Campuzano
• Immersive linear algebra, J. Ström, K. Åström, and T. Akenine-Möller
• Seeing circles, sines and signals, Jack Schaedler

Plotters

• 2D Inverse Fourier Transform Playground, Tetsuro Sakamoto
• Complex function plotter, Juan Carlos Ponce Campuzano
• Elliptic curve explorer, Samuel Li
• Fourier Cuboid, Laszlo Korte
• Interactive projective plane, Nikola Ubavić
• IsoVis, Christopher Parker

Other awesomeness

• Complexity Explorables, Dirk Brockmann
• Polyhedra Viewer, Nat Alison
• MIT Mathlets
• MLDemos, Basilio Noris
• Float exposed, Bartosz Ciechanowski. Also other articles by the author.
• 7 sets Venn Diagram, Santiago Ortiz

Math games

Games marked with a WEB can be played in a browser.

• 4D Toys - a box of toys from the fourth dimension.
• A Slower Speed of Light - a first-person game prototype in which players navigate a 3D space while picking up orbs that reduce the speed of light in increments.
• Euclidea - WEB - geometric Constructions Game with Straightedge and Compass.
• Fragments of Euclid - a game about exploring and solving puzzle in a mind-bending environment inspired by M.C. Escher.
• Hyperbolica - a whimsical Non-Euclidean adventure with mind-bending worlds full of games, puzzles, mazes, and secrets!
• HyperRogue - tactical puzzle/roguelike on a hyperbolic plane.
• Sokyokuban - WEB - Sokoban on a hyperbolic plane.
• Snake in the projective plane - WEB - snake played in a fundamental polygon of a real projective plane.
• Syncro - WEB - game challenges logical reasoning by the use of mathematics, conveying a graphical representation of a principle in the Automata Theory.
• Turing Complete - Learn CPU architecture with puzzles

In development

• Miegakure - a game where you navigate a four-dimensional world to perform miraculous feats and solve puzzles.

Contribution

Feel free to recommend any awesome tool not listed here.