That does not look like it will be mapped into a subset of itself if I shift it right by 0.1.
Here is a link (as lesswrong doesn’t seem to support animated gifs in comments)
https://i.imgur.com/CHXYOZf.gif
Note that the points are gradually fading out, if you shift a bright point right by 0.1, you find a slightly fainter point.
That does not look like it will be mapped into a subset of itself if I shift it right by 0.1.
Here is a link (as lesswrong doesn’t seem to support animated gifs in comments)
https://i.imgur.com/CHXYOZf.gif
Note that the points are gradually fading out, if you shift a bright point right by 0.1, you find a slightly fainter point.