OK, so you might have seen this puzzle before but the chances are you've only ever tried to solve it in two-dimensional Euclidean space (on a bit of paper). But topology is everything when it comes to the Utilities Problem. That's why we've printed it on a mug. The challenge is to join all the houses to all the utilities without any of the nine lines crossing.

If you've tackled this one before you'll know it's very hard to solve (in fact, it's as hard as it's possible for something to be, if you catch my drift). But with a whiteboard marker (included) and a bit of graph theory (not included) you might have more luck with the mug.

It has a high-quality duraglaze finish and will survive over 2,000 cycles through a dishwasher before the puzzle begins to simplify itself.

Price = p₂₂₂ pence = £13.99