Search Results - "MEKHONTSEV, DMITRY"

Elementary Fractal Geometry. 2. Carpets Involving Irrational Rotations by Bandt, Christoph, Mekhontsev, Dmitry

“…Self-similar sets with the open set condition, the linear objects of fractal geometry, have been considered mainly for crystallographic data. Here we introduce…”
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A single fractal pinwheel tile by BANDT, CHRISTOPH, MEKHONTSEV, DMITRY, TETENOV, ANDREI

“…The pinwheel triangle of Conway and Radin is a standard example for tilings with self-similarity and statistical circular symmetry. Many modifications were…”
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Computer Geometry: Rep-Tiles with a Hole by Bandt, Christoph, Mekhontsev, Dmitry

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Elementary fractal geometry. Networks and carpets involving irrational rotations by Bandt, Christoph, Mekhontsev, Dmitry

“…Fractal and Fractional 6 (1), 39 (2022) Self-similar sets with open set condition, the linear objects of fractal geometry, have been considered mainly for…”
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Computer geometry: Rep-tiles with a hole by Bandt, Christoph, Mekhontsev, Dmitry

“…The Mathematical Intelligencer 42 (1), 1-5 (2020) A cube is an 8-rep-tile: it is the union of eight smaller copies of itself. Is there a set with a hole which…”
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New relatives of the Sierpinski gasket by Bandt, Christoph, Mekhontsev, Dmitry

“…Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (6), 063104 (2018) By slight modification of the data of the Sierpinski gasket, keeping the open…”
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On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons by Samuel, Mary, Mekhontsev, Dmitry, Tetenov, Andrey

“…We define $G$-symmetric polygonal systems of similarities and study the properties of symmetric dendrites, which appear as their attractors. This allows us to…”
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A single fractal pinwheel tile by Bandt, Christoph, Mekhontsev, Dmitry, Tetenov, Andrei

“…Proceedings of the American Mathematical Society 146 (3), 1271-1285 (2018) The pinwheel triangle of Conway and Radin is a standard example for tilings with…”
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Mapping of Residual Oil and Water Saturation in Porous Media by Means of Digital X-ray Laminography by Palchikov, Eugene I., Schemelinin, Yury A., Skripkin, Anton G., Mekhontsev, Dmitry Yu, Kondratiev, Nikolay A.

“…The possibility of applying a digital X‐ray laminography method to the example of mapping the fluid distribution in porous media is studied. The study is…”
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