Tilings date way back in the worlds of decoration, architecture and mathematics. They are nice to look at-often very beautiful-, they come in all sorts of amazing varieties, and they offer a charming world for puzzlers, artists, and amateurs alike. They have always been a rich source of mathematical ideas, and this is no less so today where they emerge as a meeting ground for some very interesting and challenging contemporary ideas in mathematics and mathematical physics.

This will be an excursion into this attractive world with an enthusiastic, if not very professional guide.