eclipse smoke and gay dreams. queer, trans. i like music, art, geometry, and combinations thereof. "if we can challenge the gender binary, we can challenge prisons" -- Dr. Angela Davis
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we just found this 2018 paper on our favorite research problem (obtuse triangular billiards) https://arxiv.org/abs/1808.06667
and, arrrgh,
they hit on important ideas! but also some parts are much messier than they need to be... and we know many improvements to their basic language and methods!... but we don't actually have any like, tangible theorems that would make our cache of weird specialist knowledge into a Paper... or any contacts who would care...
we need billiards friends
It has been known since Fagnano in 1775 that an acute triangle always has a periodic billiard path, namely the orthic triangle. It is currently unknown whether every obtuse triangle has a periodic path. In 2006, Schwartz showed that every obtuse triangle with obtuse angle at most 100 degrees has a periodic path. The aim of this paper is to show that every obtuse triangle with obtuse angle at most 112.3 degrees has a periodic path using a computer assisted proof.
