An App for Visual Exploration, Discovery, and Sharing of Poncelet 3-Periodic Phenomena

Abstract

We describe a browser-based application built for the real-time visualization of the beauteous dynamic geometry of Poncelet 3-periodic families. The focus is on highly responsive, visually smooth, "live" experimentation with old and new phenomena involving loci of triangle centers and/or metric invariants. Another focus is on the production of beautiful color-filled images of loci. Once a live browser-based simulation is defined, it can be easily shared with colleagues and/or inserted as links in publications, eliminating the need of time-consuming video production and uploads.Comment: 19 pages, 20 figure