I stumbled upon an amazing combination of variables: the standard Pixel formula with Gradient for family Outside coloring (sam.ucl) and the Inverse fractal plane mapping. How does such a transformation take place from a bunch of squares formed by the gradient to a beautiful rounded geometric pattern? I am baffled and pleasantly surprised!

pixelInverseFractalPlane {

fractal:

title="pixel inverse fractal plane" width=600 height=600 layers=2

credits="Kathy;1/20/2020" antialiasing=yes

layer:

caption="Layer 2" opacity=100

mapping:

center=0.00/0.00 magn=1.00112 transforms=1

transform:

filename="Standard.uxf" entry="Inverse" p_radius=1.0 p_center=0/0

p_usescreen=no

formula:

maxiter=25000 filename="Standard.ufm" entry="Pixel"

inside:

transfer=none

outside:

density=1.049392 transfer=linear filename="sam.ucl"

entry="FamilyGradient" p_mode=Squares p_tilem=0/0 p_sizesq=1.18

p_rottile=0.0

gradient:

linked=yes smooth=yes rotation=-47 index=36 color=14356239 index=152

color=16382198 index=216 color=46591 index=369 color=1310828

index=370 color=1966080 index=-9 color=11403778

opacity:

smooth=yes rotation=-47 index=36 opacity=255 index=152 opacity=255

index=216 opacity=255 index=369 opacity=255 index=370 opacity=255

index=-9 opacity=255

layer:

caption="Layer 1" opacity=100 visible=no

mapping:

center=0.00/0.00 magn=1.00112 transforms=1

transform:

enabled=no filename="Standard.uxf" entry="Inverse" p_radius=1.0

p_center=0/0 p_usescreen=no

formula:

maxiter=25000 filename="Standard.ufm" entry="Pixel"

inside:

transfer=none

outside:

density=1.049392 transfer=linear filename="sam.ucl"

entry="FamilyGradient" p_mode=Squares p_tilem=0/0 p_sizesq=1.18

p_rottile=0.0

gradient:

linked=yes smooth=yes rotation=-47 index=36 color=14356239 index=152

color=16382198 index=216 color=46591 index=369 color=1310828

index=370 color=1966080 index=-9 color=11403778

opacity:

smooth=yes rotation=-47 index=36 opacity=255 index=152 opacity=255

index=216 opacity=255 index=369 opacity=255 index=370 opacity=255

index=-9 opacity=255

}