aperiodic variation - определение. Что такое aperiodic variation
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Что (кто) такое aperiodic variation - определение

NON-PERIODIC TILING WITH THE ADDITIONAL PROPERTY THAT IT DOES NOT CONTAIN ARBITRARILY LARGE PERIODIC PATCHES
Strongly aperiodic tiling; Strongly aperiodic; Weakly aperiodic tiling; Aperiodic set; Aperiodic mosaic; Aperiodic tilings; Aperiodic tessellation
  • The [[Penrose tiling]] is an example of an aperiodic tiling; every tiling it can produce lacks [[translational symmetry]].

variation         
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
¦ noun
1. a change or slight difference in condition, amount, or level.
(also magnetic variation) the angular difference between true north and magnetic north at a particular place.
2. a different or distinct form or version.
Music a new but still recognizable version of a theme.
Ballet a solo dance as part of a performance.
Derivatives
variational adjective
varied         
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
¦ adjective incorporating a number of different types or elements; showing variation or variety.
Derivatives
variedly adverb
variation         
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
(variations)
1.
A variation on something is the same thing presented in a slightly different form.
This delicious variation on an omelette is quick and easy to prepare...
N-COUNT: usu N on n
2.
A variation is a change or slight difference in a level, amount, or quantity.
The survey found a wide variation in the prices charged for canteen food...
Every day without variation my grandfather ate a plate of cold ham.
N-VAR

Википедия

Aperiodic tiling

An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings.

The Penrose tilings are a well-known example of aperiodic tilings. In March 2023, four researchers, David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss, announced the discovery of an aperiodic monotile.

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. However, the specific local structure of these materials is still poorly understood.

Several methods for constructing aperiodic tilings are known.