arXiv:2004.02680
Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard
Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard
著者: Dan Reznik, Ronaldo Garcia
分類: math.DS, cs.CG, cs.RO
原文アブストラクト
A Circumconic passes through a triangle's vertices; an Inconic is tangent to the sidelines. We study the variable geometry of certain conics derived from the 1d family of 3-periodics in the Elliptic Billiard. Some display intriguing invariances such as aspect ratio and pairwise ratio of focal lengths.