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Yet another Postscript doodle.
Actually, the Postscript file is generated by a Perl script because Perl works in radians and Postscript in degrees and radians are much more convenient for the way I did this, but I needed the fabulous tools of Postscript so it's hybrid.
I'm sure there is a mathematical description of this thing, but I don't remember that I've ever seen it. I didn't even look for one and I doubt I have the motivation or ability to work it out. (Well, I have some idea how it might go.) Instead this is a numerical approximation part of which is analogous to straight edge and compass work.
The puzzle for you is: What is it? Or maybe, what is each frame of the animation?.
Here's a bit of a clue
And this gives it away.
I've worked on it a bit more. Now it has latitude and longitude.
Here's a more honest version where the scale factor is the same for each frame (no autoscaling to fit the image). If this one were wrapped it would be 1.4 inches in diameter. Is there an optical illusion here when comparing this version with the others?