3 ms·
Pretty intuitive result. In 2D it was disproven, Penrose found two. But extending this to 3D it would be much easier to find such a tiling. Now they found one
by rurban 4y ago
Pretty intuitive result. In 2D it was disproven, Penrose found two.
But extending this to 3D it would be much easier to find such a tiling. Now they found one of a single shape.
- ginnungagap 4y agoThe periodic tiling conjecture is true in dimension 2: if you have a single tile that tiles Z^2 aperiodically by translations, then it also tiles Z^2 by translations periodically, this is a result of Bhattacharya (and the reason why the expectation was for the conjecture to be true in general)