Lattice representations of Penrose tilings of the plane

Physics – Mathematical Physics

Scientific paper

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11 pages, 9 figures

Scientific paper

Two-, three- and four-dimensional representations of Penrose tilings of the
plane are described. The vertices that occur in these representations lie on
lattices. Symmetries and methods of visualizing these representations are
discussed. The question of efficiently storing the information necessary to
reconstruct a tiling is addressed.

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