Mandel Machine, Mandelbrot set
This Dragon has self-similarity. It contains smaller copies of itself, although less evolved ones. In a perfect world we would be able to zoom infinitely deep and achieve a true self-similar version, at least up to the accuracy constraint imposed by the number of pixels.
This is the original Dragon I had in mind when I made
Dragon (surface version). This is almost literally a continuation. The difference is that this one has 5 arms instead of 4, which required more depth for the same number of iterations of the zoom steps. I thought it would be too difficult to render, so I made
Dragon (Deep version) first, which is a simpler version without self-symmetry. I also dug through some of my older stuff that I could reuse. I made use of the same initial patterns as in
Evolution of S shapes and I based my gradient on it as well.
Magnification:
2^8633
6.5468888359150892935974905928795 E2598
Location:
Re = -0.74962449737876708632428688583863161805724764174728489842581350478009924196371051186061531042851729401877554888588207632909280471327155749654632412828670058329271448205144616588547392183139237424780691558940653270671190836006325130717471182522974451180629034225046942220769321121840774722823709783993591237373056399149520730270772764235241481240837026397522065851135254206845291628922318837270313732169363762917152819500283773355695886355690038591950472848967495127636186419481346060083651444332154109221896755894236480405306814472313381744777616032252223889268633629991916689791836574369040449457273679455668885468347520138190098388744736013264444311283867370958135155905532109264875368458595561954039659629026247810545950619623014417164078212488147647678867783358038981429761772071302105931108534782968254346574880574955498275868607872478412116385297509513872493423485946320210596962550392680504095822315787353907576308208026422443762177013358874614962330244916815916458397957419335351989978106147380920297983492541749700129910041510548089467604030041688125326943672903510861684823729054228168630221500969294434751178667648792204443727753698185325779348569436903061841487735268379920218698778335285745925433092209934266590513617751758108073817714862126654454346610616488497665888489124777828291055847408099110223546747255293985805705474994445170312788739835716516868580660260039572138814578344511591056695511690451185807500893853059536363802071421774805612979238044373226743687355296029001610279922843925643285317936329605504262030766245129538487907267817174290352146944058781307853024840687097970711176708066504539818042858438920398324587409452884275731345693371416605957117632535628187734672203212081700300429031256581926216590031840090053167680785274690930616215319083010094948511383523936429038857482332370236310218982671862922618347237755359418893202073358931678603523317960277291573742778767097054841512883828855451462666096275437830905375230497911909958979650561412360727867123176089775827624788095081241846553013031981965410221172196255225605039509585471918987353474453546888830485271651462883096545014413555119850609354351166650822914355331788574206648091830836286933337403455938530535601661371685356480193597271371733650356199878947996341464846554539351322685914257003576214826500164533642609795512215955783730269873058068560778750922541949458435235567113460618391554942898938025366103603123484310355655057085809144029602426034781060978422749381135042927094943991068555164231995967243835333467282847151107351985941495765394632460004220917201638653758781487792351058676582177226176047527672388000
Im = -0.03427010874046134004598588041711546144085288742739709966152286332737018557962600776231743794141442312629836572729582993046292960810778934161776408121399142002640092780442205488638934396272906532550647703868617811379251193153707778664766692814676760118398736561186406051154806926222094423236290083823468409890242706786353831037662134175027711909599567675444938667423144135180333616722901915549727533923233912364262853123738080989463536244510630664728984918518733499213383418115304046393211216918823818982240436612748113525242195903042359616291197453005732016054792308470664328698369329987786311984523064221065591326877976584576822643773027972142036543785859343624045571349278688833965253061788591274569992949083366889259738170369880803988849209947305170401708645799558996913253372328939545385124782176420980289104724860842251508582027135258686110789184279524820102082268130685606878468320120232506791445077963982971070652587563594664379322406609411550110729989963393214380741373777745097866069332534026867179448683202259083929894091239721243978406305970477791006277815356876163839827906207224910051677868924964661238835410499109340401267242690842304677156572434814087337029556029251048215580805913623430495956209795063733405381994091595955301240026987772482166396452056325479122319299789735506750214981970772735589959551527786580438381510614971490157807047680049607633409747482562966482055764919724365029768962800462555706994184600776008905274442011055768747610987548959002702135823318514285697959646812977577100907654265961327718156771890849584869291756151709004934288992260692359508268297129756371962507713378156185796615299202364217652031132595856283115572654410551707417569618119807231450908419085485733139168855180356468712011252557647529330260103742209683987303662043022404729578895320753985194491000468799560342967690088496159331784379926299478467327392793469504750362568161880071670511262763207589347128759793517631839282743336075405803364447880737719231202415789897430144736922275763034856191936467632574573734383236787692287262938804154774468915128138010069753475708952981564482810495652405518611793313145880769674337014802797341324396282911213228612583457165078177300553114636658016817224307189288121196767015048098197953161755230922197282571667271217495776251083941510323678721227629265990879457057688503993341753645883676832286362869034368346847286426279361307320278369765497603844342372642017225658876001189259978316172481584889544830466550554780619567743921426507748092238738547083443766928812213021578872361043526400986054123894756757567293777485034234554613368185000021132060887754340765000