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For genus 0 and 1 (spheres and tori) it is well known how to generate and present regular maps, the Platonic solids are a familiar example. We present a method for the generation of space models of regular maps for genus 2 and higher. The method is based on a generalization of the method for tori. Shapes with the proper genus are derived from regular maps by tubification: edges are replaced by tubes. Tessellations are produced using group theory and hyperbolic geometry. The main results are a generic procedure to produce such tilings, and a collection of intriguing shapes and images. Furthermore, we show how to produce shapes of genus 2 and higher with a highly regular structure.<\/jats:p>","DOI":"10.1145\/1531326.1531355","type":"journal-article","created":{"date-parts":[[2009,7,28]],"date-time":"2009-07-28T12:43:55Z","timestamp":1248785035000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":7,"title":["Symmetric tiling of closed surfaces"],"prefix":"10.1145","volume":"28","author":[{"given":"Jarke J.","family":"van Wijk","sequence":"first","affiliation":[{"name":"Technische Universiteit Eindhoven"}]}],"member":"320","published-online":{"date-parts":[[2009,7,27]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_2_1_1","DOI":"10.1109\/SMI.2006.28"},{"unstructured":"Anderson J. W. 2007. Hyperbolic Geometry 2nd edition. Springer.  Anderson J. W. 2007. Hyperbolic Geometry 2nd edition . Springer.","key":"e_1_2_2_2_1"},{"doi-asserted-by":"crossref","unstructured":"Beardon A. F. 1983. 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