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Escher-like Spiral Tilings

The artist M.C. Escher drew many lovely tilings, which he called “regular divisions of the plane”. He worked hard to ensure that his tilings were of lifelike animal forms such as birds and fish. He filled notebooks with hand-drawn sketches of tilings, many of which later found their way into …

The Tactile libraries

I developed a new open-source software library for manipulating isohedral tilings, based on the work I did on this topic during my PhD. The library is available in C++ and Javascript, and I offer a few fun automated and interactive demo programs that anybody can use to play with isohedral tilings.

Heesch Numbers, Part 2: Polyforms

In the first post in this series, I introduced the concept of a shape’s Heesch number. In brief, if a shape doesn’t tile the plane, its Heesch number is a measure of the maximum number of times you can surround the shape with layers of copies of itself. (Shapes that do …

Trump Haiku Bot

Oh he is so quick On his feet. He is reading The #WallStreetJournal. This term, I’m teaching an introductory computer science course for students in Waterloo’s Global Business and Digital Arts program. We’re using Processing, a fun environment for learning programming, and for simple programming tasks related to visual art …