Tiling the plane with two polygonal prototiles is undecidable, improving the known three-tile bound, and monotiling under local edge-to-edge matching rules is undecidable for the first time.
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Two Tiling is Undecidable
Tiling the plane with two polygonal prototiles is undecidable, improving the known three-tile bound, and monotiling under local edge-to-edge matching rules is undecidable for the first time.