This blog is about Simon, a young gifted mathematician and programmer, who had to move from Amsterdam to Antwerp to be able to study at the level that fits his talent, i.e. homeschool.

Cellular Automata in Arduino

Yesterday Simon spent the whole day studying the concept of Cellular Automaton (CA), a discrete model of a system of “cell” objects used in physics, math and theoretical biology. He learned a lot from Daniel Shiffman’s tutorials on Cellular Automata and his book The Nature of Code (Chapter 7).

Simon describes Cellular Automaton as a set of rules for getting nature-like patterns. 1D cellular automata are static (think of a pattern resembling the Pascal triangle) and 2D are not static (the most famous example is Conway’s Game of Life).

The mathematician who made cellular automata a big thing (and even Turing-compatible!) was Stephen Wolfram. Simon also looked at some of Wolfram’s writings. Wolfram’s book A New Kind of Science is intimidating (in content and size) but full of graphic illustrations and available for free at http://www.wolframscience.com/nksonline/toc.html

A CA is basically a grid where cells live, each cell in a particular state (the simplest example being “1” or “0”). In Processing, it’s possible to have a CA draw a beautiful pattern this way. Simon tried to write a CA program in another language. He tried writing it in Python on his RaspberryPi first, but I overheard him say “don’t know how classes really work in Python, let’s try Ruby – I know how classes work in Ruby!” Then I saw him move over to the desktop and plug his long forgotten Arduino in. He said he now wanted to translate a CA code into C. Of course, there would be no pattern, but he wanted to have the Arduino “spit out numbers in the console” instead. Eventually he got an error and gave up, but it was intriguing to observe him.

The videos below show Simon talk about CA and program a CA in Arduino (C):