Tilings, Finite Groups, and Hyperbolic Geometry at the Rose-Hulman REUDepartment of Mathematics, Kanazawa Institute of Technology (1999)
A tiling of a surface is a covering of the surface by polygons without gaps or overlaps such as in the icosahedral tiling of the sphere. For highly symmetric tilings the geometry of the tiling is controlled by structure of the symmetry group of the tiling. The talk gives a quick overview of the link between the tilings and then lists several problems suitable for undergraduate research. Published results of one student collaboration for the summer 1997 and 1998 program are given, with a link to a published paper combining their results, with those of later students and my own results.
- kaleidoscopic tiling,
- hyperbolic geometry,
Publication DateJuly 29, 1999
LocationKanazawa, Ishikawa, Japan
Also see this site: https://tilings.org/
Citation InformationSean A Broughton. "Tilings, Finite Groups, and Hyperbolic Geometry at the Rose-Hulman REU" Department of Mathematics, Kanazawa Institute of Technology (1999)
Available at: http://works.bepress.com/allen_broughton/94/
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