How to Design Nice Tilings - KoG, Vol.3 No.3 January 1999.Report as inadecuate

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KoG, Vol.3 No.3 January 1999. -

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.

D-symbol; tiling in the plane

Author: Attila Bölcskei - ; Budapest University of Technology and Economics, Budapest, Hungary



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