The unit distances problem

OpenAI just announced that ChatGPT has disproved a conjecture about one of Erdos's most famous problems: the unit distance problem. This problem is personal to me: I spent a good chunk of time during my Ph.D mulling over it, and it's what hooked me into computational geometry. Like most of Erdos's problems, it's really easy to state Let P be a set of n points in the plane (amen). What is the…