A project by George Tokarsky, Max Godfrey, Khac Nguyen and Jaime Burgos Oteo.
2023 News Flash!
- New The Hunt now allows the use of Windows or Linux as well as Mac.
- New Periodic path cover with vertices (6,39), (10,35), (10,57.6), (6,61.6).
- New AutoPolyVary button automatically fills holes.
- New Triples button makes it easier to find triples.
- New Can now load multiple covers.
- New Instructions and two new videos.
- New Jars for Billiards Everything and Billiards Covers.
- New A new cover for Schwartz's 100 degree theorem (using 186 regions! instead of 215).
2022 News Flash!
- The hole at the interior point x=10, y=20 has now been covered. This point is the only known finite cover which is not on the boundary of the obtuse triangles and has no known stable point. This cover has five stables and one unstable to surround this point and uses the star rule algorithm and the golden square. All the obtuse triangles with any angle on the purple strip between 10 and 11 degrees are now all completely covered with periodic paths.
The Great Periodic Path Hunt
Find periodic paths in triangles and join the team.
Can you find a periodic path of a billiard ball on an arbitrary triangular table
given an arbitrary starting point and an arbitrary
starting direction. Of particular interest are paths that hit sides
perpendicularly.
Does every obtuse triangle admit a periodic trajectory? and
how can they be classified?
If you want to be a hunter, you need to download Billiards Everything.
