Molnár, Emil Variations with Möbius-band, compact 2- and 3-spaces. (English) Zbl 1274.51004 Symmetry Cult. Sci. 19, No. 1, 27-42 (2008). Summary: The Möbius band, as a one-sided surface with its circle boundary, is a nice attractive phenomenon, which calls our attention to topology as a modern branch of mathematics. Thus the projective plane, Klein bottle, cylinder, torus, their generalizations in dimensions 2 and 3, lead us to the concept of spaceforms, or compact manifolds. These may model our real world with different metrics, e.g. Euclidean, spherical and Bolyai-Lobachevsky or hyperbolic metrics. Moreover, other possibilities also occur, indicated in this lecture. MSC: 51B10 Möbius geometries Keywords:Möbius band; 2- and 3-manifolds PDFBibTeX XMLCite \textit{E. Molnár}, Symmetry Cult. Sci. 19, No. 1, 27--42 (2008; Zbl 1274.51004)