Pictorial puzzle

Question

Can someone suggest a pictorial representation of a mathematical puzzle or problem that could be represented in coloured tiles on an orangery floor $4489\times7525$mm with an insert of $907 \times1996$ for steps This has to be assembled so simple but complex is preferred

Answer 1

A Penrose tiling is a must. But there is a copyright on them if I remember well.

Nice to ask !

Answer 2

An apollonian gasket could be fun, but it might be difficult to get your hands on suitable tiles. A variant of the Sierpinski carpet would be easier, though less aesthetically pleasing.

If you're using tiles small enough to draw smooth curves, I think a table of knots might be cool. Or you could split the floor up into 17 sections and fill each one with a representation of the wallpaper groups.