In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...
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, ...
These student-constructed problems foster collaboration, communication, and a sense of ownership over learning.
Since the release of GPT 5.2, AI tools have become inescapable in high-level mathematics.
Some results have been hidden because they may be inaccessible to you
Show inaccessible results