A simpler $\mathbb R^3$ realization of the Möbius strip

Iosif Pinelis

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arXiv · 1808.03955

A simpler $\mathbb R^3$ realization of the Möbius strip

Iosif Pinelis

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Abstract

A very simple $\mathbb R^3$ realization of the Möbius strip, significantly simpler than the common one, is given. For any, however large width/length ratio of the strip, it is shown that this realization, in contrast with the common one, is the union of a vertical segment and the graph of a simple rational function on a simple polynomially defined subset of $\mathbb R^2$.

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BibTeX RIS

Iosif Pinelis. 2018-08-12. A simpler $\mathbb R^3$ realization of the Möbius strip. https://arxiv.org/abs/1808.03955

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