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Journal for Geometry and Graphics 10 (2006), No. 2, 161--171 Copyright Heldermann Verlag 2006 Uniform Maps on the Klein Bottle Steve Wilson Dept. of Mathematics and Statistics, Northern Arizona University, Box 5717, Flagstaff, AZ 86011-5717, U.S.A. stephen.wilson@nau.edu The purpose of this note is to describe and classify the uniform maps of type {4, 4}, {3, 6} and {6, 3} on the Klein bottle in a simple and uniform way. We determine all such maps and their symmetry properties. Keywords: Klein bottle, map, uniform, symmetry. MSC: 51M20; 52B15, 53A05 [ Fulltext-pdf (146 KB)] for subscribers only. |