caa a22 4500 469075333 CHVBK 20180323132933.0 cr unu---uuuuu 170328e19920401xx s 000 0 eng 10.1007/BF02187847 doi (NATIONALLICENCE)springer-10.1007/BF02187847 The classification of quasi-regular polyhedra of genus 2 [Elektronische Daten] [Reinhard Franz, Daniel Huson] The method of chamber systems is used to provide a complete list of all possible tessellations of the closed, orientable surface of genus 2 by (topological)n-gons andm-gons (n, m>2) satisfying a certain local symmetry condition. Using a computer program it is shown that (up to homeomorphism) there are precisely 379 such quasi-regular polyhedra. S. Bilinski constructed the first one for each of the 17 possible combinations ofm- andn-gons using geometrical methods. It is the intention of the authors to demonstrate the usefulness and suitability of chamber systems in dealing with problems of the above type. Springer-Verlag New York Inc., 1992 Franz Reinhard Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, W-4800, Bielefeld 1, Federal Republic of Germany aut Huson Daniel Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, W-4800, Bielefeld 1, Federal Republic of Germany aut Discrete & Computational Geometry Springer New York 7/4(1992-04-01), 347-357 0179-5376 7:4<347 1992 7 454 https://doi.org/10.1007/BF02187847 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02187847 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Franz Reinhard Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, W-4800, Bielefeld 1, Federal Republic of Germany aut NATIONALLICENCE 700 1- Huson Daniel Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, W-4800, Bielefeld 1, Federal Republic of Germany aut NATIONALLICENCE 773 0- Discrete & Computational Geometry Springer New York 7/4(1992-04-01), 347-357 0179-5376 7:4<347 1992 7 454 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer