Mathematical Billiards

Grigoriy Yakovlev

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arXiv · 2608.07603

Mathematical Billiards

Grigoriy Yakovlev

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Abstract

This paper considers planar mathematical billiards with smooth billiard tables. We prove that through any point outside a convex smooth caustic, there passes a unique billiard table (Lemma 2). Furthermore, we describe a billiard table having a nephroid as its caustic.

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Grigoriy Yakovlev. 2026-08-06. Mathematical Billiards. https://arxiv.org/abs/2608.07603

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