Rational proof

This is a well-known proof but is worth repeating – it’s so elegant in its simplicity.

Follow the logic carefully. To find out whether you’ve really understood it, try to reproduce it from scratch after a night’s sleep!


Sharing cake fairly

This is a practical problem which I appreciate. There can never be too much cake 🙂

But how to cut a cake between any number of people such that everyone is happy with their slice? Here is the answer!