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Research

Heesch numbers, Part 1

I love tiling theory. It’s a branch of mathematics that brings together many beautiful ideas, and that offers a lot of open questions for exploration. And of course, it gives us tools to apply mathematics in the world of art and design. Normally, in my research as a computer scientist …

A new near miss

The photo above is a paper model of a polyhedron that I just assembled. The model consists of four dodecagons (12-sided regular polygons) and 12 decagons (10-sided regular polygons). The holes are 28 equilateral triangles that in theory could be filled with more paper. This polyhedron has a few symmetries, …

Seeking test images for comic research

Hi, my name is Craig Kaplan.  I’m a Computer Science professor at the University of Waterloo in Canada. I’m using my blog as a convenient place to put out a call to comic artists for test images that we could use in our research. My PhD student Matthew Thorne is working on software …