Speaker: Chatchawan Panraksa (Jack) Title: "The Good, the Bad, and the Ugly" Abstract: We will describe the unique three-segment unit arc in the plane whose minimal width is as large as possible (the "Trine"). Moreover, we will investigate the algebraic properties and dynamical systems of this figure. (This reports and extends joint work with Prof.John E. Wetzel (UIUC) and Prof.Wacharin Wichiramala(CU, Thailand). The authors acknowledge significant contributions by Gregory Stanton(UIUC), Tirasan Khandhawit(DUKE (now MIT)), and Sira Sriswasdi(MIT (now Whitehead Institute for Biomedical Research))).