Trees Revisited

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