论文标题
在最佳纸上Moebius乐队
On The Optimal Paper Moebius Band
论文作者
论文摘要
令$ a = \ sqrt 3 $。关于纸莫比乌斯乐队有两个主要猜想。首先，平滑的嵌入式纸莫伊比乌斯带必须具有至少A的纵横比。其次，在Hausdorff拓扑中，具有纵横比收敛到收敛性的平滑嵌入式纸莫伊比乌斯带和异形，并将半级别的三角形三角态度A降低到10次陈述中，将其详细介绍到10次启动。
Let $A=\sqrt 3$. There are two main conjectures about paper Moebius bands. First, a smooth embedded paper Moebius band must have aspect ratio at least A. Second, any sequence of smooth embedded paper Moebius bands having aspect ratio converging to A converges, in the Hausdorff topology and up to isometries, to an equilateral triangle of semiperimeter A. We will reduce these conjectures to 10 statements about the positivity of certain explicit piecewise algebraic expressions.
