منابع مشابه
Hausdorff Dimension of Boundaries of Self-affine Tiles in R
We present a new method to calculate the Hausdorff dimension of a certain class of fractals: boundaries of self-affine tiles. Among the interesting aspects are that even if the affine contraction underlying the iterated function system is not conjugated to a similarity we obtain an upperand and lower-bound for its Hausdorff dimension. In fact, we obtain the exact value for the dimension if the ...
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Let A be an expanding n n integer matrix with j det A j m A standard digit set D for A is any complete set of coset representatives for Z A Z Associated to a given D is a set T A D which is the attractor of an a ne iterated function system satisfying T d D T d It is known that T A D tiles R n by some subset of Z This paper proves that every standard digit set D gives a set T A D which tiles R w...
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In this paper we explore the relation between Wang Tiles and Schonfinkel Combinators in order to investigate Functional Combinators as an programming language for Self-assembly and DNA computing. We show: How any combinatorial program can be expressed in terms of Wang Tiles, and again, how any computation of the program fits into a grid of tiles of a suitable finite, tile set, and finally, how ...
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The Spanish ceramic tile manufacturing sector (which also refers to raw material suppliers and producers of bodies, glazes, frits, engobes and pigments) is facing a most singular moment in its history. First of all, it needs to overcome the economic downturn that started in 2008 before going on to deal with the fierce competition from other countries emerging as competitive producers in the pos...
متن کاملTiles and Colors
Tiling models are classical statistical models in which different geometric shapes, the tiles, are packed together such that they cover space completely. In this paper we discuss a class of two-dimensional tiling models in which the tiles are rectangles and isosceles triangles. Some of these models have been solved recently by means of Bethe Ansatz. We discuss the question why only these models...
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ژورنال
عنوان ژورنال: Nexus Network Journal
سال: 2002
ISSN: 1590-5896,1522-4600
DOI: 10.1007/s00004-001-0006-9