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Author Topic: Evolution of evolution  (Read 708 times)
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Dinkydau
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Posts: 1616



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« on: January 04, 2015, 04:41:46 AM »



Mandel machine, mandelbrot set

Evolution zoom method allows to see the evolution of a shape (any shape you like) at once. Then of course, the shape of which the evolution is shown, can be an evolution set itself. This render shows the evolution of two evolution sets:
1. a trivial julia set evolution
2. evolution of trees and evolution of another weird shape in parallel
This can be interpreted as having (potentially) 4 different shapes and thus an alternative for "regular" 4th order evolution.

It is clearly visible that this layered evolution gives a shape similar to the julia sets in the second seahorse valley, like in this picture:
http://i538.photobucket.com/albums/ff342/formule/julia_types.png~original

Magnification:
2^3292.924
1.8573657883412564670045546272343 E991

Coordinates:
Code:
Re = -1.7686386040875736143876341011989218272057517960883501170246944275864731691655930106670285691608770600313501247955354526514534516722649944930223295818127670086787406372238121944097400104929955888901140232748508170767581438641741848669697957307094062757665159725852247194918176582504365644666626460277076573983323870023563239870761764975120152116165534213006465003790903012833759264453317919241302637814859166130778994816280413223774457036188103207106222806938091075793254894952084808722887893577642701536935059555358123177647939566120469383120423983042018526951096909531293353056881486294110279563638272432281085988742826754602470505891187207767659250112604855812210877670699355634491731056813110586106209488508696058040570401725642382640919600464658156134635946618553091839201273120697121519532808595332287004700287165017445575561524672488066765909443210193094703869624661902519977018341717331870638509520302460571921690332128938022326441502295751231504448823063211645475810914279193988974021591087
Im = 0.0014694361628505501621916134651959186461237805808204873461760698710202643907257072136588709410600264397290335600027720024083378021739949240516993192920006569859124831375224884663752494733266119087313770519422099477105917600836486956447078789980561171990730452308069034291306104188449665413897413628961884704060697449712157656954956039901478121613673232221780612456624614810358385127081260434784429523706278981830775585707482070477448649933504029068679448138644033847698495483598994683303999411060686559673190968731089585475294632753319429794924726763987203026383245764030550058414555586404586844858814895812765384190210223833990328030988941342688977088917295628099478440355404923945692947758584103476659090283210951313948195896132313718825857672743503239987425432503247119847196838639365218926058943244235284779750508626388721595199837550367929953576641609197318127896456180518282083624370693207531084099285431079332626538493563942770702905269031305443358528617468996758687042360035205747912380488
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