Synthesizing periodic tilings of regular polygons

AM e Sá, LH de Figueiredo… - 2018 31st SIBGRAPI …, 2018 - ieeexplore.ieee.org
2018 31st SIBGRAPI Conference on Graphics, Patterns and Images …, 2018ieeexplore.ieee.org
We present a simple representation for periodic tilings of the plane by regular polygons. Our
approach is to represent explicitly a minimal subset of the vertices from which we
systematically generate all vertices in the tiling by translations. We then deduce the edges
and the faces using the constraint that all edges have the same length. Our representation
can be used to synthesize tilings manually and automatically from images.
We present a simple representation for periodic tilings of the plane by regular polygons. Our approach is to represent explicitly a minimal subset of the vertices from which we systematically generate all vertices in the tiling by translations. We then deduce the edges and the faces using the constraint that all edges have the same length. Our representation can be used to synthesize tilings manually and automatically from images.
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