What first got me into fractals was the organic nature of a concept that people most often view as mathematical. Nature imitates art imitates math imitates nature.
Apophysis 7.15, loosely following the Splits-Elliptic tutorial by Devart user SaTaNiA, Final Transform fisheye.
Also available in my Deviantart gallery, at http://fav.me/d4m2jla.