is there a specific name for this?

Question

I am doing a project in which I try to relate math and art. So I know this may not really be math-y, but I was wondering if there was a specific name for this kind of shape attached & also, would it be considered a fractal? I thought so because if it does go on forever (infinite recursion), it does have self-similarity, but I wanted to check. Thank you in advance!

Answer 1

I am not sure how widespread this name is, but I have found at least some occurrences of crown square fractal. (Google Books, Google Images, Google Scholar, Google)

Brief look at the hits in those searches suggests that this terminology appears mostly in connection with fractal antennas.

Answer 2

I’m not sure if it considered a fractal but the reference to self-similarity is appropriate. In particular, it can be considered an example of the Droste effect.