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arXiv · 2412.00572

On Nearly Optimal Paper Moebius Bands

Richard Evan Schwartz
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Abstract

Let $ε<1/384$ and let $Ω$ be a smooth embedded paper Moebius band of aspect ratio less than $\sqrt 3 + ε$. We prove that $Ω$ is within Hausdorff distance $18 \sqrt ε$ of an equilateral triangle of perimeter $2 \sqrt 3$. This is an effective and fairly sharp version of our recent theorems in [{\bf S0\/}] about the optimal paper Moebius band.

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Richard Evan Schwartz. 2024-11-30. On Nearly Optimal Paper Moebius Bands. https://arxiv.org/abs/2412.00572

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