A Circumconic passes through a triangle's vertices; an Inconic is tangent to the sides. We introduce the Circumbilliard: the circumellipse of a generic triangle which is an Elliptic Billiard (EB) to the latter. Given a fixed EB, we study varying Circumbilliards obtained from triangles derived from the 3-periodic family . Finally we describe invariants displayed by certain Circumconics and Inconics associated with the family including: axis alignment, aspect ratio , and pairwise focal length ratio .
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. We also define the Circumbilliard, a circumellipse to a generic triangle for which the latter is a 3-periodic .
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sides. We introduce the Circumbilliard: the circumellipse of a generic triangle which is an Elliptic Billiard (EB) to the latter. Given a fixed EB, we study varying Circumbilliards obtained from triangles
sidelines. We study the variable geometry of certain conics
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3-periodic family . Finally we describe invariants displayed by certain Circumconics and Inconics associated with the family including: axis alignment, aspect ratio , and pairwise focal length ratio
1d family of 3-periodics in the Elliptic Billiard. Some display intriguing invariances such as aspect ratio and pairwise ratio of focal lengths. We also define the Circumbilliard, a circumellipse to a generic triangle for which the latter is a 3-periodic