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Misaligned Butterdonut
10 1 265 (1 Today)
By DinkydauSet   |   Watch
Published: September 16, 2018
Mandel Machine, Mandelbrot set

This is related to the idea to transform a tile-pattern into a tree. I described the idea in the description of Lattice evolution. Because the required depth is too extreme, it can't be done.

My new idea is to skip the part of building a Julia set approximation to make a tree out of, by using existing the properties of the tiling to make a tree out of it instead. What I realized it that a Julia set is not necessarily an absolute requirement to create a tree. While a tree can be created from a Julia set, there might be other structures that can be used. If such structure can be the tiling itself, the depth can be low enough. So that's what I tried to do. It worked and the result is this. It's a tree where the space between the branches is filled with tiles connected to the branches.

It doesn't look quite like I hoped though. It's hard to see where the branches are. It just looks like a chaos of tiles.

Magnification:
2^2273.6
2.6411808614749109046433703811336 E684

Coordinates:
Re = -1.76858393197743163040017958058875994716517000824190554354850661508642578475926800873151578575844048102401749186717846896260789640989507236353012591014191972755405519512328864313685151526161683438012991686732886921453771284270520773754990164571478559449298503352981954015945646557743523248657751804741471268447424271356043623849869880907080187926412754986912764944724325990913577941550702724488640238322256554552030405111321484762637414030347245850490669753599224706832607187698775149655687777122696154843034746174698752429151401899208619252257194467547494517765453948976029116380584861545121682483372402947867088491018003852101212660999767014664199009491310679052924989851699850936345990843100
Im = 0.00151753693981184637772620794847760595031542820643416112974324888497212267095256895417024645362312821781411091783761838207278940652885630348991914702322803184477613960573586037115263736000780221339566930906988427265271904330950789979690547601126940193902788878978222641928892486066820994591752346864787262454000237494802346923210397456807132397586196014865533460535375770394765897942646450343993986285262338492095821107390084208738278357449183830490757103217388006032031906638659852108355166153512653960552443499789277558254297926156348707040141738377852985064921978204852689141362999731321980447008068312145587758784022812773368068669177412427249149195145669476850880962057592612773255356400
Image size
5328x3996px 33.71 MB
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