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Isoperimetric problems for tilings
Published online by Cambridge University Press: 26 February 2010
Extract
We consider a tiling of a square with convex tiles of areas a1,… aN and perimeters p1,…,pN and pose the following problems.
PROBLEM 1. For given values of a1, …, aN find the minimum of P = p1 + … + pN.
PROBLEM 2. For given values of p1,…,pN find the maximum of A = a1+…+aN.
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- Research Article
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