The production of end-grain wooden cutting boards involves repeated operations
that lead to interesting mathematical questions. I explore some of the mathematical issues that arise in the process; they pose some interesting mathematical puzzles. I also show how mathematics can be used to create
intricate artistic designs for cutting boards that are amenable to
woodworking. These designs have been tested in real wood. Some of them belong
to a class of iterated-function-system fractals but others do not. The
overall goal is to produce an aesthetically pleasing design suggested by
mathematics and implementable in wood.
Read full article...