The Bunimovich stadium is one of the simplest chaotic billiards. GPT4 doesn't seem to be able to simulate it, despite being able to write code to simulate much harder problems such as the gravitational N-body problem. This is unsurprising because simulating a billiard requires doing collision detection, which ultimately boils down to geometry that GPT4 cannot see.

By the end of 2023 will someone find a prompt that gets GPT4 to properly simulate the motion of a particle in this billiard?

The question refers to the advanced data analysis mode of GPT4, without plugins.