I found the subject fascinating when I first "got into" it. There are many resources available, but I offer this as one way to start understanding: csdt.rpi.edu/african/African_F…
First, click on the Video link on that page and view the TED talk. Then go back to the starting page, click Continue to view the subsequent pages, then use the embedded application to start playing with your own simple fractals.
If I can help in any way, please feel free to ask.
Thank you, Marnie! Many viewers get the sense of fabric because of the various folds and wavy edges. I usually get the sense of tarnished metal, probably due to the hues and texture. Might be a gender-related thing. In any case, I'm glad that you like it!