Re:Pentagon Tiling Proof Solves Century-Old Math Problem
by kevinwang on Tuesday July 11, 2017 @05:25PM
(#14748216)
Squares, but each row of squares has a random offset
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Re:Pentagon Tiling Proof Solves Century-Old Math Problem
by irishsultan on Wednesday July 12, 2017 @03:21AM
(#14750744)
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).
Re:Pentagon Tiling Proof Solves Century-Old Math Problem
by kevinwang on Thursday July 13, 2017 @03:19AM
(#14759366)
No, you wouldn't necessarily
Re:Pentagon Tiling Proof Solves Century-Old Math Problem
by irishsultan on Thursday July 13, 2017 @06:40AM
(#14760172)
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.
Re:Pentagon Tiling Proof Solves Century-Old Math Problem
by kevinwang on Thursday July 13, 2017 @03:54PM
(#14764608)
Hm, 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.
Re:Pentagon Tiling Proof Solves Century-Old Math Problem
by irishsultan on Wednesday July 19, 2017 @06:01AM
(#14803146)
Doesn'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.