Using experimental techniques, we study properties of the "circumcenter map", which, upon $n$ iterations sends an $n$-gon to a scaled and rotated copy of itself. We also explore the topology of area-expanding and area-contracting regions induced by this map.
翻译:使用实验技术,我们研究“crcenter 映射”的特性,该图以零元迭代向一个缩放和旋转的复制件发送了1美元-gon。我们还探索了该地图引致的地区扩张和地区承包区域的地形学。