Parallelogram tilings, Worms and Finite Orientations

2012/02/21 by Frettlöh, Dirk, Harriss, Edmund
#Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1202.4686

Abstract

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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