凸区域及其“最公平”等分扇
Convex Regions and their 'Fairest' Equipartitioning Fans
摘要：
一个k-扇形是一组k条半直线（射线），它们都从同一点开始，称为扇形的原点。讨论了用扇形将二维凸区域划分成n个（正整数）等面积凸块的问题，并提出了如下附加要求：等面积凸块的周长应尽可能接近。我们提出了一些基本的属性，这样的球迷，我们称之为“公平均分球迷”，并提出进一步的问题。
英文摘要：
A k-fan is a set of k half-lines (rays) all starting from the same point, called the origin of the fan. We discuss the partition of convex 2D regions into n (a positive integer) equal area convex pieces by fans with the following additional requirement: the perimeters of the resultant equal area pieces should be as close to one another as possible. We present some basic properties of such fans, which we call 'fairest equipartitioning fans', and raise further questions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
