Is this image
an actual fractal
a graphical representation of a set of points determined by a specific complex equation that is fractal? Or is it just a pretty fractal-ish-looking work of art? How can you tell?
ETA: Is there anybody out there who can generate me an actual-fractal with as pretty a color scheme? Willing to pay.
ETA2: Whoa. Whoa.
One of the answers to "how can you tell if an image is an actual fractal" is "happen to recognize the coloration as one of the presets in a given fractal generator application." Mad, mad props to jesse_the_k
for identifying the generating application, FRAX for iOS, and sending me a proof image.
Yes, indeedy, the original reference image was computationally generated by a fractal image generator. From the image jesse_the_k
sent me, which shows more of the open space between the arms, it's clear that a texture
has been applied (the "gold foil" has subtle wrinkles
which I'm pretty sure aren't representative of anything mathematical in those areas of the graph), which is an artistic decision, but given that I now know what it is, and that it is, while decorated (migod, it's a gilded fern
), otherwise mathematically generated and valid, I'm going with the original.
P.S. Which is not to say that I'm not interested in seeing what other people working on fractals come up with. Just that my need is no longer urgent.