# artmath

## Beyond the Great 96

The challenge when designing around a large star is to reconcile its high order of symmetry with the field of more standard shapes that surrounds it. The goal is to make the complete design appear natural and seamless. That’s an exceedingly difficult design challenge, one that increases in difficulty as …

## Animated Map Colourings of Hinged Squares

Tilings like these, based on alternating arrangements of squares and rhombs, are ancient. And in the twentieth century, a few people experimented with this hinged motion. I particularly like the essay by Duncan Stuart, then a student at the UNC School of Design, though the most famous use of this …

## 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.

## Interwoven Islamic geometric patterns

Anybody who has attended a Bridges conference in past ten years will be familiar with the work of Rinus Roelofs. His talks always offer an entertaining contrast: stunning and inspiring ideas in the intersection of geometry and art, balanced with his humble, low-key delivery. It was also Rinus who suggested …

## Arctic Monkeys Simulator

This term, I’m once again teaching CS 106, a second-level introductory programming course with a focus on art and data visualization. The course is taught using Processing, which provides a fun and accessible (though flawed) environment for art-focused novice programmers. The most recent lecture includes a discussion on drawing graphs, and …

## Woven book polyhedra

Earlier this year, at a local coffee shop, I noticed a flyer on the wall with a call for artist submissions for an upcoming show in Halton Hills. The topic of the show was Altered Books. I had never experimented with the artform of altered books before, though I had …

## Tending toward the convex

I was commissioned to create an Islamic geometric design to serve as a prop on the set of an Austrian production of the play Disgraced.

## Modular origami halftoning

Fold a square of origami paper in half, unfold, fold it in half the other way, and unfold. Now fold the corners to the centre. Turn it over and repeat. You may be reminded of folding what’s often called a cootie catcher or fortune teller. You end up with the leftmost module in …