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Trees Revisited

16 13 691 (1 Today)
By DinkydauSet   |   Watch
Published: January 13, 2017
Mandel Machine, Mandelbrot set

This image contains a collection of trees, ordered in what appears to be a natural (and beatiful) way. It reminds me of the shape of a 3rd power Mandelbrot Set. The center is like the main double cardoid and it also has (approximately) infinitely many bulbs. It's pretty much the exact same shape which leads me to think that the julia transformations I did to get here is also how the 3rd power Mandelbrot set comes about. It also makes me wonder if it's possible to build the shapes of higher power Mandelbrot sets using julia transformations. The 4th power Mandelbrot set is not 2-fold rotationally symmetric so it's not possible to build it (maybe it can be built in the 3rd power M-set?). The 4th power M-set might be possible...

I have often used the evolution zoom method to make julia morphings with 2 or more different types of shapes inside, though what I really wanted at first was 1 type of shape. I hid the fact that I didn't know how by choosing the same type 2 times. Now I found a way to get rid of the unnecessary copies, but the overall shape is very different this way.

Magnification:
2^9706.3
7.7169718014717701081201473595858 E2921

Re = -1.7688011252221877204709741758179943289719776561698906746323500348383699513591489612873967509274966440413557617241491600329058372805735550148585182138711720726695297443148253463184817954013513962337939472169657134580286294121622150299478675204801828772493631773673987904309055816283198587234189197841056049571802980640265156000065177874740485973621705174732650630769247931314556164494074766611938824067322405243506104378777342718615187425356491320861592233700947335816911589141624787016843941868708374406140859169960100095681558780027696824171951543816248932169324543091691569091287791899396819510536609202651352744135987374400083879072341472022542290361286853009509839846452730453481513265387679576679704654354482489532053723293459079676004717895713664899711957495757332765588472539464918031164836902929586122654796297094770427794366571322707809112332370950804360132673436651821911772042879533877478458718004410635110925632999566574084574235463912943470981721752643771773959558831554589854485604975364621185552698316665558691598027940316801636979000040560621127029663794019613541851673307251878131613238361091458431747078574040791783358730895007793682917277921800488141026306756804472855015620008630819680964376619758271645715301315352030916979509384752961939243018082424561263094775528318739161642895706042971428881780441631696627603372495412977727051511388497154183802329850302603882147199574795085484970649887998929691672019785648299562237807546571551108703613853476476635584556652568811579895157292213613741850776600290618732784205366679406209183839569625343815117957194201655856830438148745539385078552910235978236390095560441089361220724853517548990588385468840182561589121573689707841713231982289676578964566304537759382926839898672600236484643838432273575504175283877683434831283034936477963766914535828475223078368899757971868123519742649163544483797060207905762748263974741206676035342373418596222922297434957597148263365121018319605659231307996294004235202904458380630516068251886040368370758115208145816426943812593846118972673514534516052904742220875050306351568860227521804267873501871666887627451041383334734935761084602750325040614769804761840568041357299680337154522923062905316277109469749988131259315903712995926636115412457507400577726150468154511468443846674422928256891145186072654597069023685731909339210627069566886224118764897114006992931666743587971029936529081795869187074154311186008321350528072353048323119928080244615001852683452018915138610896758225470364123751023258566092514006871941278112232662554373559171314229397877800428215421102331977257179431815411793258149216937585480088953227258261067271164276065880412885595898519409991063276663586816144203494914936288482747501535541621005846894158892662624469998310599333626021627844856527863309756858610732042800629249468455546995415833057344470988207268766674228544321987366798992201893460402434350436358123395575256774446824903498517085456941735650

Im = 0.0023878480881805962820493232458554875037388092952829542156222752945764166987851812825932831879136756035194454484562929129723749322427988417441140327575831621191333413445566201483453075727278255196911626265388377437378928553941592342752390149210875595092895828341550441216137232078130843706694514812411896466242747598047237841899227407137207996153631661165310676900278121081109773454730706218028487944757761815189100251241603686120944865189418544771857366780301296072952615170045095076990744788601062500725092197419557540878567542349119974872148895674529910361655153195175960926770555469301301644923525565259716471074402246266656292684512998421471369841245969419718109233723597846540485542777563021083995697611612300274768455277194690961563407811185353390550470749277084198271845472675080540680170598292583097345103989777045408378143967319947909282864165283151152839968641455189430997723981196299993593987572466737384717840587289933588707393432757726734145910903896328723978531513514818704044611071990775303126673802839955813108666929364596523501121842680741526691737338933843486436192243112643661559745631040930829858257086064458039521611542008653748816940818206207801995237906691860097067120322932112566157731633594592235122962402399303991990210641677394799740426353614590140043776160707267731601373537975599905293399363474940388882572852053965492001959280706180255738237245127327321458755584892753479301937772087551712369041261813263065763604200797565327779240767708248581170092652292506127018525202830263388240593001343477542962460321943107998174534879536290722653460016994101289360707367764170864339880483298771875602916087103654747021702626710543570965779670061788813662643393054075906197477431314232350408058042444336898537707639499259746724526716689862903092860371521093305826388382514627257961717670586447669706353227908699821704206249993663026132845466290889074256678794497679729004222488549040762005041804135438300445236268180071097035346868429301772840208183351656109468691582900448799641336130006700050798475724210207542415707634564703190071036272867374271564705033881962125025327642255479054567095087898614790426657803039774715608219744663580852307172337863461461834873527416092515835896614707350930635299568427145577276278022801039971177502546312139872058890952120043526040902563046387962512879897692678849575962053093732046987800363511115465138658476718912646306300966817227976958372341341033832688719927824607797592973257546782077781443370408783271172848875987410446352252668907268099455600238014668283296120502908065655257368576768542147837197473079816454901442718050330214070753960956199047391284973073528869336377525870293835186654326572883021390296220440232615891627131048813022135789763124753663887361437564467802011993179524788277980585521125569771547775923387161097600941727093963430649526526356251808119775432738991172835499142733538819006271799133002338357073537763377568409858091085076509585387354490650
Image size
8192x4096px 55.96 MB
Comments13
anonymous's avatar
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bryceguy72's avatar
bryceguy72Hobbyist Digital Artist
Stunning.  Both coordinates end with "650"... this is just a coincidence, right?
DinkydauSet's avatar
DinkydauSetHobbyist Digital Artist
Yes, it is.
ADAPTERR's avatar
very cool image this is very good!:happybounce: Clap 
DinkydauSet's avatar
DinkydauSetHobbyist Digital Artist
thanks!
Kaleidogal's avatar
So intense, a feast for the eyes!  Fantastic work.
DinkydauSet's avatar
DinkydauSetHobbyist Digital Artist
Thank you!
quaz0r's avatar
quaz0rHobbyist Digital Artist
whoa cool stuff dinky!
DinkydauSet's avatar
DinkydauSetHobbyist Digital Artist
Thank you
FractalMonster's avatar
:omg:
This is VERY interesting :wow: There seems to be an infinity more  to discover in the field of raw fractals. You ought to expose this to mathematical institutions on universities. Whish you a really good luck with you further explorations :thumbsup::
DinkydauSet's avatar
DinkydauSetHobbyist Digital Artist
Thanks
I'm sure there's a lot to find, especially at even greater depths.
FractalMonster's avatar
No problem :aww: For sure there are, an this was a real surprise :wow: Maybe there are strange being also (at yet greater depths :D
DinkydauSet's avatar
DinkydauSetHobbyist Digital Artist
Thanks
anonymous's avatar
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