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DNA Tiles, Wang Tiles and Combinators [PDF]

open access: possibleFundamenta Informaticae, 2014
We investigate the relation between Combinatory Logic and Wang Tiles with the aim of studying Combinators as a programming language for Self-Assembly and DNA computing. We introduce a subset of Combinatory Logic, SKI#, which is Turing Complete, includes simply Typed Combinatory Logic and contains only combinators whose computations require finitely ...
BELLIA, MARCO, OCCHIUTO, MARIA EUGENIA
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Tiling the plane with one tile

Proceedings of the sixth annual symposium on Computational geometry - SCG '90, 1990
Abstract Tiling the plane is a very old activity of mankind. Grunbaum and Shep herd (1986) give many beautiful examples of decorative tilings belonging to nearly all ancient civilizations. Most decorative tilings are those we call periodic, which means that they are invariant by two independent trans lations.
Danièle Beauquier, Maurice Nivat
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FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Fractals, 2019
A fractal tiling or [Formula: see text]-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of [Formula: see text]-tilings.
Wang, Xinchang   +5 more
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Multiresolution Tiling

Computer Graphics Forum, 1994
AbstractThis paper describes an efficient method for constructing a tiling between a pair of planar contours. The problem is of interest in a number of domains, including medical imaging, biological research and geological reconstructions. Our method, based on ideas from multiresolution analysis and wavelets, requires O(n) space and appears to require ...
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To tile or not to tile?

Soils and landscapes vary within centimeters to decameters, which is not captured by state-of-the-art land-surface models that operate on kilometer scale. This leads to potential mismatches when simulating the exchange of energy, water and gasses between land and atmosphere, which are summarized under the term “aggregation error&#8221 ...
Melanie A. Thurner   +2 more
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