Original scientific paper

How to Design Nice Tilings?

Attila Bölcskei ; Budapest University of Technology and Economics, Budapest, Hungary

Abstract

Motivated by famous nice tilings we classify all G-tilings (T,G) in the planes of constant curvature with 5 barycentric triangle orbits under a discontinuous isometry group G. We describe the 13 infinite series of the resulting tilings by socalled D-diagrams and additional rotation parameters in our Table. Depending on the parameters, the tilings are realizable in the sphere (S_2), in the Euclidean (E_2) or Hyperbolic (H_2) plane. The starting examples are depicted in our figures. Summarizing two theorems are formulated in Section 3.

Keywords

D-symbol; tiling in the plane

Hrčak ID:

166449

URI

https://hrcak.srce.hr/166449

Publication date:

20.1.1999.

Article data in other languages: croatian

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