## Charlie's Delightful Machine

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?...

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?...

Direct reciprocity facilitates cooperation in repeated social interactions. Traditional models suggest that individuals learn to adopt conditionally cooperative strategies if they have multiple encounters with their partner. However, most existing models make rather strong assumptions about how...

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?...

It's easy to work out the areas of most squares that we meet, but what if they were tilted?...

Ever wondered how your friends shape your music taste? In a recent study, researchers at the Complexity Science Hub (CSH) demonstrated that social networks are a powerful predictor of a song's future popularity. By analyzing friendships and listening habits, they've boosted machine learning...

A research article published June 10 in the Proceedings of the National Academy of Sciences highlights the importance of careful application of high-tech forensic science to avoid wrongful convictions....

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?...

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?...

How can disaster response teams benefit from understanding how people most efficiently pick strawberries together, or how they choose the perfect ice cream shop with friends?...

This problem looks at how one example of your choice can show something about the general structure of multiplication....