Möbius Strips with Flat Metrics / A.V. Slovesnov // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 5. P. 7-10 [Moscow Univ. Math. Bulletin. Vol. 64, No 5, 2009. P. 183-186]
This paper is focused on flat Möbius strips. The first section presents some results related to asymptotic parameterization of such surfaces. The second section contains studies of their bendability. It is proved that any Möbius strip isometric to a surface obtained by suitably glueing a flat rectangle admits a non-trivial bending which is a slide along itself. A concrete numerical computation of such bending is given.
Key words: Möbius strip, asymptotic parametrization, sliding isometry.