Galton Board vs PatternLab

Originally conceived in 1894 by Galton, the board consists of countless balls traversing down through a maze of pins. At every pin, they have a single choice: go left or right. Although the possibilities seem limitless, a pattern soon emerges. But how does this really work? This app is a simulation of the famous Galton board and is intended for educational purposes. You can adjust the board size, and send over a thousand balls bouncing down the board. On iPad you can even run multiple simulations simultaneously with multiple windows. The results are visualized by a bar chart. The Galton Board is closely related to Pascal's Triangle, Newton's binomium and probability theory in general. For experiment fidelity and performance, the balls do not collide with each other. I hope this app helps people grasp chance at least a little bit better. Love the app, or have improvements/suggestions? Let me know!

Discover the beauty of patterns. PatternLab is a creative sandbox for exploring cellular automata — simple rules that give rise to endless complexity. Inspired by Conway’s Game of Life, PatternLab lets you draw, experiment, and watch living patterns unfold in real time. Whether you’re curious about math, love puzzles, or just want to relax and watch mesmerizing shapes evolve, PatternLab makes science playful and accessible. Features: • Multiple rule sets: Conway, Seeds, Maze, Day & Night • Pre-built patterns: Glider, Blinker, Pulsar, and more • Custom drawing tools to create your own designs • Adjustable grid size and simulation speed • Color themes including high contrast & accessibility modes • Undo/redo support for fast experimentation Why you’ll love it: • Relax and watch infinite patterns evolve • Spark creativity with mathematical art • Learn about complex systems in a hands-on way PatternLab is perfect for students, creators, and anyone who enjoys interactive experiments. Dive in, play with rules, and see how small changes create surprising results.