14 ms·
That is a periodic tiling (just think about what happens if you follow the tiling along the rows instead of along the columns, you'll periodically see the same
by irishsultan 9y ago
That is a periodic tiling (just think about what happens if you follow the tiling along the rows instead of along the columns, you'll periodically see the same pattern).
- kevinwang 9y agoNo, you wouldn't necessarily
- irishsultan 9y agohttps://en.wikipedia.org/wiki/Euclidean_tilings_by_convex_regular_polygons#Tilings_that_are_not_edge-to-edge https://en.wikipedia.org/wiki/Euclidean_tilings_by_convex_re... It's listed as a periodic tiling. If you move the whole plane one square to the left or right you'll find that everything fits into place nicely, making this a periodic tiling.
- kevinwang 9y agoHm, I'm not knowledgeable about this subject but this seems like the offset on each row is NOT random, but it's instead repeating. Imagine instead that each time I added a new row, I chose the offset to be, say, a completely new value.
- irishsultan 9y agoDoesn't matter, because your new row will still be offset with the same random value to existing rows after moving one square to the left or right.