The Triangular Billiards Problem (TBP) is an open problem which asks if all triangles have periodic orbits. I have been steadily working on this problem for the better part of 2022. Here is a timeline of major developments:
- January 25, 2022: First Simulation of TBP, implemented using iterated Newton's Laws
- March 5, 2022: Second Simulation of TBP, implemented using parametric equations
- September 30, 2022: LSTM Neural Network of TBP, trained using second simulation
The first simulation may be accessed here: TBP Simulation #1. It takes a considerable time to load (except ~4 minutes), in part due to the packages that must be downloaded. If memory failure, please run in an incognito (i.e., private) window.