Amazing fractal orderings...

[Timeroot]

I was just wondering if anyone had tried the formula for the Amazing fractal with different orders of transformations. Right now it goes: Fold->Invert->Scale->Add. By rearranging these there would be 24 different options. Most of these produce the same results by a coordinate transform or by changing variables like scale, xfold/yfold/zfold, fixedRadius, and minRadius. But something like Invert->Fold->Scale->Add should produce something different. Has anyone tried this?

[twinbee]

Interesting. I've been looking at the Mandelbox over the past couple of days (more to come soon), and it would seem to suffer classification overload! Still, more to explore then...

I tried your idea (all use 10 iterations and scale=2). Click for full size:

[David Makin]

Am working on a more generalised "location controlled" formula - I actually like to call these "Location Restricted IFS" - the method essentially goes back to Barnsley's location-conditional based escape-time formulas as included in Fractint.