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

Schwartz, Richard Evan

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 $π/2$.

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