We describe a newly-developed, free, browser-based application, for the interactive exploration of the dynamic geometry of Poncelet families of triangles. The main focus is on responsive display of the beauteous loci of centers of such families, refreshing them smoothly upon any changes in simulation parameters. The app informs the user when curves swept are conics and reports if certain metric quantities are conserved. Live simulations can be easily shared via a URL. A list of more than 400 pre-made experiments is included which can be regarded as conjectures and/or exercises. Millions of experiment combinations are possible.
翻译:我们描述了一款新开发的、免费的、基于浏览器的应用程序,用于交互式探索Poncelet三角形族的动态几何。其主要功能是响应式显示此类三角形族中心的美妙轨迹,并在模拟参数发生变化时平滑刷新。该应用程序在扫过的曲线为圆锥曲线时通知用户,并报告某些度量量是否守恒。实时模拟可通过URL轻松共享。其中包含超过400个预设实验列表,这些实验可被视为猜想或练习。可能实现的实验组合数量达数百万种。