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The isoperimetric problem for pinwheel tilings

โœ Scribed by Charles Radin; Lorenzo Sadun


Publisher
Springer
Year
1996
Tongue
English
Weight
506 KB
Volume
177
Category
Article
ISSN
0010-3616

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We prove isoperimetric inequalities for general parametric variational double integrals F , whose Lagrangians F depend on the position vector X and on the surface normal N. As an essential tool we introduce Sauvigny's F -conformal parameters adapted to the parametric integrand and use the notion of