English

A simpler $\mathbb R^3$ realization of the M\"obius strip

Differential Geometry 2018-08-14 v1

Abstract

A very simple R3\mathbb R^3 realization of the M\"obius 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 R2\mathbb R^2.

Keywords

Cite

@article{arxiv.1808.03955,
  title  = {A simpler $\mathbb R^3$ realization of the M\"obius strip},
  author = {Iosif Pinelis},
  journal= {arXiv preprint arXiv:1808.03955},
  year   = {2018}
}