2 problems
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Completeness conjecture for exceptional rational billiard orbit closures
Completeness conjecture. The finite lists of exceptions in the classifications of exceptional triangles and exceptional quadrilaterals are complete.
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Folklore quadratic-asymptotic conjecture for generalized diagonals in rational polygons
Let be a rational polygon, meaning that all its angles are rational multiples of . A generalized diagonal is a billiard trajectory that begins and ends at a corner of ,…