That does not recur periodically.
Used in a Sentence
aperiodic
Definitions, parts of speech, synonyms, and sentence examples for aperiodic.
Editorial note
That is, it should be possible to create an aperiodic tiling of less difficult tiles.
Examples9
Definitions3
Parts of speech1
Quick take
That does not recur periodically.
Meaning at a glance
The clearest senses and uses of aperiodic gathered in one view.
(physics) That does not have a periodic vibration
(mathematics, stochastic processes, of a state) for which any return to it may occur at irregular times; not periodic.
Definitions
Core meanings and parts of speech for aperiodic.
adjective
That does not recur periodically.
See also: noncyclic, nonperiodic, nonoscillatory
adjective
(physics) That does not have a periodic vibration
See also: noncyclic, nonperiodic, nonoscillatory
adjective
(mathematics, stochastic processes, of a state) for which any return to it may occur at irregular times; not periodic.
See also: noncyclic, nonperiodic, nonoscillatory
Example sentences
That is, it should be possible to create an aperiodic tiling of less difficult tiles.
There are plenty of aperiodic tessellations of the plane that can be computationally generated.
Microsoft research published a paper on using aperiodic Wang tilings to generate textures.
Some others are aperiodic: they don't repeat.
That said, although aperiodic Wang tiles force all possible tilings to be aperiodic, I'm not aware of anything that says that a regular set of tiles, for which periodic tiles are possible, require that all tilings be periodic.
Wang tile patterns may be aperiodic but they still look "geometric".
In fact, this is obvious by a projection of the Wang tiles onto less pathological tiles -- we can take the set of 13, call the first six "black" and the second seven "white", and obey the Wang tiling rules and produce an aperiodic tiling consisting of just black and white tiles.
Quote examples
Wang tile patterns may be aperiodic but they still look "geometric".
In fact, this is obvious by a projection of the Wang tiles onto less pathological tiles -- we can take the set of 13, call the first six "black" and the second seven "white", and obey the Wang tiling rules and produce an aperiodic tiling consisting of just black and white tiles.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use aperiodic in a sentence?
That is, it should be possible to create an aperiodic tiling of less difficult tiles.
What does aperiodic mean?
That does not recur periodically.
What part of speech is aperiodic?
aperiodic is commonly used as adjective.