Is there a rule for assembling the tiles that ensures non-periodicity?

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If you're given an arbitrary number of those triangles, is there a way to ensure they can't be assembled in a periodic manner while still leaving no gaps, or the only way to do it is to first calculate the layout thru that subdividing algorithm and then place the triangles matching your calculation? --TiagoTiago (talk) 21:40, 2 January 2019 (UTC)Reply