正多边形对角线所生成的交点数
度量几何
2008-02-03 v3
摘要
我们给出正 边形对角线所生成的内部交点数的公式。答案在每个模 2520 的剩余类上是一个多项式。我们还利用欧拉公式 计算了由对角线所划分出的区域数。
引用
@article{arxiv.math/9508209,
title = {The Number of Intersection Points Made by the Diagonals of a Regular Polygon},
author = {Bjorn Poonen and Michael Rubinstein},
journal= {arXiv preprint arXiv:math/9508209},
year = {2008}
}
备注
This version corrects a typo that appeared in the 1995 arxiv version and also in the SIAM version (specifically coefficient '262' in theorem 1 appeared incorrectly as '232')