Results 151 to 160 of about 33,997 (183)
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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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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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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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Proceedings of the 13th ACM SIGPLAN Symposium on Principles and practice of parallel programming, 2008
The importance of tiles or blocks in scientific computing cannot be overstated. Many algorithms, both iterative and recursive, can be expressed naturally if tiles are represented explicitly. From the point of view of performance, tiling, either as a code or a data layout transformation, is one of the most effective ways to exploit locality, which is a ...
Jia Guo +4 more
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The importance of tiles or blocks in scientific computing cannot be overstated. Many algorithms, both iterative and recursive, can be expressed naturally if tiles are represented explicitly. From the point of view of performance, tiling, either as a code or a data layout transformation, is one of the most effective ways to exploit locality, which is a ...
Jia Guo +4 more
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Tilings of space by knotted tiles
The Mathematical Intelligencer, 1995Whereas in the Euclidean plane a tiling by congruent tiles consists of topological disks, in Euclidean 3-space, it is possible to have tilings not only by 3-balls but also by congruent genus-\(n\) handlebodies and these can be knotted as well as unknotted. In this paper the author examines tilings of Euclidean 3-space by congruent knotted tiles.
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To Tile or not to Tile, That is the Question
2024 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)Altan Haan +4 more
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Three-periodic nets, tilings and surfaces. A short review and new results
Acta Crystallographica Section A: Foundations and Advances, 2023Olaf Delgado-Friedrichs +1 more
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Three-periodic nets and tilings: natural tilings for nets
Acta Crystallographica Section A: Foundations and Advances, 2007Vladislav A Blatov +2 more
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Three-periodic nets and tilings: edge-transitive binodal structures
Acta Crystallographica Section A: Foundations and Advances, 2006Olaf Delgado-Friedrichs +2 more
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