Примеры использования Aperiodic на Английском языке и их переводы на Русский язык
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Culik and Karl have demonstrated aperiodic sets of Wang cubes.
However, the tiles shown below force the chair substitution structure to emerge, andso are themselves aperiodic.
A tiling is called aperiodic if its hull contains only non-periodic tilings.
Therefore, no directed bipartite graph can be aperiodic.
An even smaller set of six aperiodic tiles(based on Wang tiles) was discovered by Raphael M. Robinson in 1971.
Substitution tiling systems provide a rich source of aperiodic tilings.
After the discovery of quasicrystals aperiodic tilings become studied intensively by physicists and mathematicians.
Today there is a large amount of literature on aperiodic tilings.
Abstracts and Materials Conference- aperiodic collection totals conferences, reports, results and decisions;
The Penrose tilings are the best-known examples of aperiodic tilings.
The second table contains all known aperiodic sets of tiles and gives some additional basic information about each set.
Wang proposes his tiles, andconjectures that there are no aperiodic sets.
Optical characteristics of approximants of aperiodic gratings and multilayer systems with different geometries and fractal features are considered.
However, for more families of lines this construction produces aperiodic tilings.
Shahar Mozes has found many alternative constructions of aperiodic sets of tiles, some in more exotic settings; for example in semi-simple Lie Groups.
Some constructions are based on infinite families of aperiodic sets of tiles.
Most importantly, some tile substitutions generate aperiodic tilings, which are tilings whose prototiles do not admit any tiling with translational symmetry.
In particular, the celebrated Penrose tiling is an example of an aperiodic substitution tiling.
The aperiodic Penrose tilings can be generated not only by an aperiodic set of prototiles, but also by a substitution and by a cut-and-project method.
Sometimes an energetical minimum ora maximum of entropy occur for such aperiodic structures.
However, none of the non-periodic tilings thus far discovered qualify as aperiodic, because the prototiles can always be rearranged so as to yield a periodic tiling.
In turn, the interest in quasicrystals led to the discovery of several well-ordered aperiodic tilings.
Aperiodic tilings serve as mathematical models for quasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently won the Nobel prize in 2011.
In 1973 and 1974,Roger Penrose discovered a family of aperiodic tilings, now called Penrose tilings.
A tiling is usually understood to be a covering with no overlaps, andso the Gummelt tile is not considered an aperiodic prototile.
In 1977 Robert Ammann discovered a number of sets of aperiodic prototiles, i.e., prototiles with matching rules forcing nonperiodic tilings; in particular, he rediscovered Penrose's first example.
Sometimes the term described- implicitly orexplicitly- a tiling generated by an aperiodic set of prototiles.
This paper studies the constraint of a vector norm under periodic and aperiodic action of matrices from a finite set of matrices with rational elements as well as the presence of AZR and PZR.
It can be shown that a language L is star-free if andonly if its syntactic monoid is aperiodic Schützenberger 1965.
George Graham invented aperiodic descent or Graham descent, which is still in use in pendulum clocks, the world's first chronograph, free lever escapement, and the clock for the Royal Observatory in Greenwich.