论文标题
球的翻转距离和三角形
Flip Distance and Triangulations of a Ball
论文作者
论文摘要
众所周知，凸多边形的两个三角剖分之间的翻转距离与某些多面体的三角剖分中的四面体数量有关。有趣的是，知道这两个数字是否相同。在这项工作中，我们找到了示例，以表明这两个数字本质上是不同的，并且它们的比率可以任意接近$ \ frac {3} {2} $。
It is known that the flip distance between two triangulations of a convex polygon is related to the minimum number of tetrahedra in the triangulation of some polyhedron. It is interesting to know whether these two numbers are the same. In this work, we find examples to show that the two numbers are different in nature, and their ratio can be arbitrarily close to $\frac{3}{2}$.
