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A note on tilings and strong isoperimetric inequality

Published online by Cambridge University Press:  01 November 1998

WOLFGANG WOESS
Affiliation:
Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italia

Abstract

We show that the edge graph of a locally finite tiling in the plane satisfies a strong isoperimetric inequality if one among the lower averages of what we call the characteristic numbers of edges, vertices and tiles is positive.

Type
Research Article
Copyright
© Cambridge Philosophical Society 1998

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