[firstlink]

I wonder if the authors anticipated this result when publishing their first paper, or if they were primarily motivated by "complaints" that their hat tile (and other tiles in the associated spectrum) required reflection. Certainly they mention this question, but my question is whether they completely anticipated it.

[ravi-delia]

I believe reflection is usually permitted in tilings- you certainly wouldn't wait around until you worked out a chiral tiling to announce. But it's a direct descendent of the hat tile, and I wouldn't be surprised if they already knew the direction to look before they published the original paper.

[yarg]

They may have been encouraged by the reactions to their previous paper, but I doubt it was anything close to a primary motivating factor - they're mathematicians, you can pretty much guarantee that they found the compromise at least as irksome as everyone else.