Does this set of tiles tile the infinite plane periodically?

Number Theory Level 3

This problem’s question: {\color{#D61F06}\text{This problem's question:}} Does this set of tiles tile the infinite plane periodically?

The square tiles may only be placed if adjacent side have the side number. If it helps, then think of the numbers as being colors or that the tiles fit together in a manner similar to dominoes.

Not decidable. Not decided No Yes

A Former Brilliant Member by A Former Brilliant Member

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1 solution

See the paper by Emmanuel Jeandel and Michael Rao .

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