> Oh my god here, is the same qualification near the top of the article.
>> One of the problems the two friends looked at was a version of a century-old unsolved question in geometry.
Did you read past the first sentence of my comment?
> You edited your comment to add another objection. It is equally insubstantial unless you dug through the paper yourself and demonstrated that the transformation applied could not reasonably be called a rotation.
I disagree. The article strongly implies that the transformation applied could be called a rotation, and I see no particular reason to doubt that. ("The Möbius strip can be rotated by any angle between 0 and 360 degrees, and he proved that one-third of those rotations yield an intersection between the original and the rotated copy.")
But I very much object to the article's idea that I should help myself think about a rotation that only changes point values along a single dimension by visualizing an entirely unrelated transformation. How is that supposed to help?
>> One of the problems the two friends looked at was a version of a century-old unsolved question in geometry.
Did you read past the first sentence of my comment?
> You edited your comment to add another objection. It is equally insubstantial unless you dug through the paper yourself and demonstrated that the transformation applied could not reasonably be called a rotation.
I disagree. The article strongly implies that the transformation applied could be called a rotation, and I see no particular reason to doubt that. ("The Möbius strip can be rotated by any angle between 0 and 360 degrees, and he proved that one-third of those rotations yield an intersection between the original and the rotated copy.")
But I very much object to the article's idea that I should help myself think about a rotation that only changes point values along a single dimension by visualizing an entirely unrelated transformation. How is that supposed to help?