论文标题
最佳纸Moebius带的改进限制
An improved bound for the optimal paper Moebius band
论文作者
论文摘要
在本文中,我们表明,平稳和本地嵌入的Moebius频带具有至少$ \ sqrt 3-(1/26)$。 (在优化问题中产生的实际界限,一个代数数,这是更好的一点。)我们的界限在先前已知的$π/2 $的下限上大大改善。
In this paper we show that a smoothly and locally isometrically embedded Moebius band has aspect ratio at least $\sqrt 3-(1/26)$. (The actual bound, an algebraic number that arises in an optimization problem, is a tiny bit better.) Our bound improves significantly on the previous known lower bound of $π/2$.