Frettl\"oh, Dirk, Edmund Harriss
Abstract
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This paper studies properties of tilings of the plane by parallelograms. In particular it is established that in parallelogram tilings using a finite number of shapes all tiles occur in only finitely many orientations.
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This paper studies properties of tilings of the plane by parallelograms. In particular it is established that in parallelogram tilings using a finite number of shapes all tiles occur in only finitely many orientations.
Key concepts: Parallelogram, Substitution tiling, Plane (geometry), Mathematics, Tessellation (computer graphics), Geometry, Combinatorics, Pure mathematics