Yeah, they're both about periodic repetition. But a periodic tiling repeats in its entirety, exactly, with a fixed period. The periodic table groups elements

Yeah, they're both about periodic repetition. But a periodic tiling repeats in its entirety, exactly, with a fixed period. The periodic table groups elements based on properties that repeat periodically, but the periods change as you move down the table. The tiling also has string of repeating patterns, like the elements, but a periodic tiling is something other than just that.