The Teglon is a fictional tiling problem from Anathem. Is akin to Penrose Tiles. The idea is that you have a set of some number of different tiles. The tiles are polygons with a bit of curved line painted on the face. The solution to this puzzle has to satisfy two requirements. The first is that the tiles must completely cover a regular decagon (a ten-sided polygon). The second is that the bits of line must all connect to form a single continuous line that leads from one vertex of the decagon to another. Like, I said this is a fictional puzzle, at least so far as we know, so it was nice to find this pumpkin where someone had engraved the solution. However, they left off the tiling pattern, so you will just have to work that out for yourself. Be forewarned, several historical people in this novel lost their minds trying to solve this puzzle.
The web game Entanglement has some similar features.