Aperiodic Monotiles - Hat
The discovery of a solution to the Einstein Problem has caused a bit of a stir in the mathematical world this week. It's a shape that tiles the plane, but never repeats and while I don't entirely understand the implications or the mathematical proof of such a thing, I know a good looking tessellation when I see one so I set about making up a few.
The first tile is known as the 'Hat' (although I think it looks much more like a T-shirt). The tile is made up from a number of different kite shapes so I also cut a few of those out as well.
The full shapes are roughly 80mm across and 60mm wide and I cut them in three different flavours of wood veneered MDF, pine, beech and cherry (left overs from the Loki box)I redrew my own sheet for cutting to ensure that all of the wood grains on all of the pieces align in the same direction and this is what gave me kites to fill in the gaps (svg here)