A nonpolyhedral triangulated Möbius strip
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- by Ulrich Brehm
- Proc. Amer. Math. Soc. 89 (1983), 519-522
- DOI: https://doi.org/10.1090/S0002-9939-1983-0715878-1
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Abstract:
We construct a triangulated Möbius strip with 9 vertices which is not embeddable into ${{\mathbf {R}}^3}$ such that all edges are straight line segments. It even cannot be immersed polyhedrally into ${{\mathbf {R}}^3}$.References
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- Branko Grünbaum, Convex polytopes, Pure and Applied Mathematics, Vol. 16, Interscience Publishers John Wiley & Sons, Inc., New York, 1967. With the cooperation of Victor Klee, M. A. Perles and G. C. Shephard. MR 0226496
- Dale Rolfsen, Knots and links, Mathematics Lecture Series, No. 7, Publish or Perish, Inc., Berkeley, Calif., 1976. MR 0515288
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 519-522
- MSC: Primary 57Q35; Secondary 57M20
- DOI: https://doi.org/10.1090/S0002-9939-1983-0715878-1
- MathSciNet review: 715878