A tree but made of wrought iron?
These aren't parameter tweaks, just different areas of the -1.5 Mandelbox. In other areas there are mimics of the #SierpinskiTriangle, #MaskitFractal and #ApollonianGaskets.
info: https://sites.google.com/site/mandelbox/negative-1-5-mandelbox
video \(s=-1.7\): https://www.youtube.com/watch?v=bO9ugnn8DbE
Mandelbox - Negative 1.5 Mandelbox

Of the different parameters you can change, perhaps the most interesting is to use a negative scale. The pictures here are of scale=-1.5, which is just small enough to prevent floating boxes on the corners, and gives a much denser box, but it produces a wonderful variety of shapes, and in fact