Results 261 to 270 of about 6,397 (300)
DNA Tiles, Wang Tiles and Combinators [PDF]
Fundamenta 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, 1990Abstract 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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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” ...
Melanie A. Thurner +2 more
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Melanie A. Thurner +2 more
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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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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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FRACTAL TILINGS FROM SUBSTITUTION TILINGS
Fractals, 2019A 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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Tile-Makers and Semi-Tile-Makers
The American Mathematical Monthly, 2007(2007). Tile-Makers and Semi-Tile-Makers. The American Mathematical Monthly: Vol. 114, No. 7, pp. 602-609.
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Tile Coding Based on Hyperplane Tiles
2008In large and continuous state-action spaces reinforcement learning heavily relies on function approximation techniques. Tile coding is a well-known function approximator that has been successfully applied to many reinforcement learning tasks. In this paper we introduce the hyperplane tile coding, in which the usual tiles are replaced by parameterized ...
LOIACONO, DANIELE, LANZI, PIER LUCA
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On tile-k-transitive tilings of the space
Geometriae Dedicata, 1996A \(k\)-transitive tiling \((k\) being a positive integer) with respect to a crystallographic space group \(G\) of Euclidean space is a tiling whose tiles can be distributed into \(k\) classes so that \(G\) acts transitively on each class. The author considers tilings in three-dimensional euclidean space consisting of polyhedral tiles (i.e.
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The Mathematical Gazette, 1978
Why is such a nice result rarely, if ever, found in texts? Perhaps because it is usually necessary to use trigonometry to calculate the areas of regular polygons. A regular n-gon inscribed in a unit circle has an area n times that of the isosceles triangle having an edge as base and the ...
Alexanderson, G. L., Seydel, Kenneth
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Why is such a nice result rarely, if ever, found in texts? Perhaps because it is usually necessary to use trigonometry to calculate the areas of regular polygons. A regular n-gon inscribed in a unit circle has an area n times that of the isosceles triangle having an edge as base and the ...
Alexanderson, G. L., Seydel, Kenneth
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Uniform Tilings with Hollow Tiles
1981Tilings of the plane in which each tile is a closed topological disk, or some other simple kind of set, have been extensively studied from many points of view; see [18]. Of special interest are tilings whose tiles are regular polygons; there are many such tilings and they occur frequently in practical applications.
Branko Grünbaum +2 more
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