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Pronunciation varies by accent · noun
(geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection)..
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.
This naturally led to serious rumination about the possible existence of a single tile, or monotile, that forces non-periodic global structure.
An aperiodic monotile never repeats a formation, no matter how long the pattern.
Use monotile when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Monotile means (geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection)..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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.
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