Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Yakovlev, Grigoriy
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7202203577
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