A note on tilings and strong isoperimetric inequality

WOLFGANG WOESS

doi:10.1017/S0305004197002429

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.

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A note on tilings and strong isoperimetric inequality

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