We study properties of an $n$-times applied "circumcenter map", which sends an $n$-gon to a scaled and rotated copy of itself. Specifically, we explore the geometry of area-expanding and area-contracting regions of induced by this map.
翻译:我们研究“crenter map ” ( crancecenter map)的“crenter map ” ( crenter map), 该地图向一个缩放和旋转的复制件发送了$n-gon。 具体地说,我们探索了该地图引领的面积扩张和地区承包区域的几何学。