Monotile
Definition, Meaning & Examples
Part of speech noun
Quick meaning: Monotile is a noun meaning (geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection).
Meaning
(geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection).
Example Sentences
An aperiodic monotile never repeats a formation, no matter how long the pattern.
This naturally led to serious rumination about the possible existence of a single tile, or monotile, that forces non-periodic global structure.
In the following section we will describe families of tilings by a curious three-dimensional aperiodic monotile whose matching rule — for some values of its parameter — is weak but not strong.
And I am sorry I never delivered on the four-dimensional Poultry design. It turns out John Horton Conway found four-dimensional and five-dimensional aperiodic monotiles sixty years ago, but it's not too well documented.
Word Forms
- monotiles
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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