Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians. Simple, yes, but ...

The answer is not simple. Yes, algorithms can generate visual works, music, or even poetry based on coded formulas. But discovery, in the true sense of the word, requires more than replication. It ...