Have you come across those problems about measuring out some amount of water using limited equipment? Here’s an example.
I have two buckets. One, when full, contains 3 litres, the other 5 litres. I have a large quantity of water in the water butt in my garden, and I wish to end up with exactly 17 litres of this water in my pond. Is this possible, just using these two buckets to transfer water? (No part-filled buckets allowed!)
Welcome to Theorem of the week!
The plan is to post something about a different theorem each week. The format will vary (so there won’t be a proof every week, for example), but the aim is to have some interesting, readable piece to think about each week, at a level that is accessible to people who haven’t thought about maths much since school.
I hope to persuade some other people to write about their favourite theorems too, so that it won’t just be me. And of course anyone will be able to leave a comment, so I hope to get some useful feedback. If you don’t understand something, have questions or just want to discuss the content a bit more, please go ahead and comment!
