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4 votes
0 answers
138 views

Hyponontiling Wang tiles

Call a finite collection of tiles that can tile the plane if we have to use each tile at least once tiling. Is there a collection of at least 3 tiles that is not tiling, but such that after removing ...
domotorp's user avatar
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1 vote
1 answer
138 views

Recognizability/unique composition property for substitution tiling

This may be a very basic question, but I have not found an answer to it so far in my search. The question is whether there is an "algorithmic" way to check unique-composition/recognizability ...
Keen-ameteur's user avatar
5 votes
1 answer
397 views

How much of an aperiodic tiling is needed to force aperiodicity?

Consider an aperiodic tiling. By definition, there is a $C$ such that, for any box of side $C$, the part of the tiling contained in the box can be continued to the whole plane only in a non-periodic ...
H A Helfgott's user avatar
  • 20.2k