Sequence evolution

[Dinkydau]

Computation: Kalles Fraktaler (Claude's GMP fork)
KFB map converted to MMIT
Coloring: Mandel Machine

This was rendered in 4 tiles of 16000×16000 for a total resolution of 32000×32000. I converted the KFB maps to MMIT. Then I used Mandel Machine to make images of the iteration data. I used Photoshop to assemble the puzzle and apply anti-aliasing. Normally I would mention the main program used to render the image and omit programs that play a small role such as Photoshop for anti-aliasing, but in this case that's not possible. There's not a single program that is clearly the main program behind this image.

This image shows fractal patterns in sequences.

Oh, I almost forgot to say: Bailout=2. I missed that so much since perturbation was invented. It's the more natural way to achieve coloring in my opinion and I think it's great that Kalles Fraktaler has this ability.

Magnification:
2^10034.880
6.30995095145 E3020

Coordinates:

Code:

Re = -1.76903662721565731264101749028160721190904888023519544905339483009967096815954512652634436154905415591870716847237764013229498980265679267261337975001530618312124578753263934001694377207606864054726220329965296608235526628786340370626765274146681221532084205791351666644520044085645155512564315353491623270200170512021690460781620534374681537676200890850023584032373690206493193949308922079101762557630378717785910568998757879881450589620795124876217302029809542808486175015332369660530964326605097675262605304601499158888494888525650692764205785901544467837783491053218727089288054178869753150950077001099753831649997149191649524864211413476995831753350162357932231007733115563745631411875623695749943519710199998507683085969902371531629120161571088037653898125315154340403422961965389681439145148512338274481798384611284391747887824748941127026237186341970625675693566994917166974583329483208207339772166071377052762418793513738778998744097503148025740856805563260088813197191330664901229880489767413068120967527338708027055681065208173403604018186750103953159354178215660292014712465304818969750902060940604599335630683036999625685759807374788759170487504518049658362030252747600030414495104862639384108620434756170103142687104056859931289625698897448565919164709411338356915335037014173094857998984231614218054992514094749817126718353266709031027855597431047585888356287537980775906601190281176520843528530371122803901835817230437818598856774655814527010524730806213344486706736978506663867905670692547377066426973939081227023125194678102291793913432344599780164968464067896551670792827562382223262670651337922529327820981553916018656619476028562934590703172497345072709370790097614946816161167330363164601395719240071333361735785342547244917686034173389488385443225043525134967010296372001373725563011417627541185139744177173442269532631731813000816201372017961482525193177468768926188903777530171187729144053915866134445951302115777442964129698046266738721161443654604293311737190492251094379113487454688298981289919977731795419700045717526249016543233381471813616990484340610822413509559219467177016553710490127822219337306175506755151287050152333319378768538394768991531748060747649365846250879906159243907716686222986567685509856375219575841753820173024482734961466301652007741380152838463041418555947934104870883099933060435496992668907853058009591628089113094725603315983372382302142884798365396349327394988308347045110648245725287660620602677134662985702018512827295396179849923108422657946742012837566769277577032555491932518454649593819882382065267718483272049083880723517899679081619394549078239880858962721103631975296057628469741222990875851334053249653786470030521615911244978721994419905907372778387799584938262956493770299932933351258157617593659525416356716298117515320541988120760632800525269743243492671595187127448252863247832944097616543148622913500479025829506138971961305859287674906202848536984072112555368221123940999717199954829404052269131115250293576673948513334946579837687078520652507457276118179424838906005
Im = 0.00315510948974492697145473551355899286034321461233687852579200020768847305652212619513913418474795832344439949603068976241632626490296340544369856275169449382958867174477932441624782958704142742430449129316470673628498794184139952850879059533766592649597258366586269319597636749314028031210003647496803674503156269315287035035644109195671097025475282026065557266046865469074860461286230345311216356484777198319498434549749588475970244862829219105211717817003231755641179450633803201932248333053300263373704401566152020561635979277550725198158881685047701096265292092336423987619211834084505768701791793501715766555699809226828761357019535153366389623555878331259916563831917741000173776205627727891086182481882203247049367185436658003287155300045490394511832313068734979624567391164213655445673846139796915317010588665204615033653397772297843747017362287304486238704484550333450645980675647084723218680400038708259821002746875379967623768641382687888891957902585250332500270641073333102207539465376210181307720901791213924345119756758825834275372055980449266952616005825975555387716500817522824908432857026071665033012816778484145660697772438775947570824580751968890119224644480337206121139139960931936896495438490580120274219819634431878033441813045080124666648810444346334862324555615411291796867928283563787289130281557984780596508469449217893744004289280636206790654929475531109599188368464025877944166915314498404614649547497167549830589460416051460262090395134379178359996707303755192696440870466328095705320862210945665914733933403658892944393734878299458644702793404742656342135080525270197657975219761728197515530387960290508504522479278182948808410972213465135292594759976491136515662892639741176244499290347385487457494767993007406838789706336487154564074998865426473146293136275622451158641999031274598958248604351893254601585144826113667880558133984958635036080727223460168633341619010066802131392649256611975591608778355109397857200372013515532231462261731965273232780902680930635020848228821870261204002216214692997292332421049744320066469280275429216312520065573882596487927600013687698376136444495904212378522124062121848985118942554798207277600240214935257860347666512033640315354610010069311304779896037690388902546888562554658907264356107430142932702726193411178752431628619990029419988876079621804714765171360116374062530923602160805360048630192102748393753641119654726218199471357174254186859295130087652599379206307932853809898209795165190403954583336735058335198659519617220614747675824466754939891811874278047661699480465311036104208280825831509056774794461773972370245362981623456721757668573918886964641001946918218824298486598029959041150786584581657401307369508978116481313202140184932103816243889168153730855721150992183953062765777244598341017865259538963979670716112113081415386242559960175482826477535914181536659142152808343809501621553304623816058475693112225659506509883318046392746694624556788472339674515855988424407351416489877172373434476092412174578821415190214228194909622728302349995698936326721995

[wes]

These are resolutions I didn't know were even possible.

[3dickulus]

You can get (virtually) unlimited size using tiled EXR format writing to a file, EXR also allows floating point RGB data

[hapf]

These are resolutions I didn't know were even possible.

Some really nice results for 32K need 256K sampling. And if the colouring method needs all pixels at the same time you have  problem...

[Kalles Fraktaler]

Excellent, thanks a lot
 

[Dinkydau]

Thank you

[quaz0r]

Some really nice results for 32K need 256K sampling. And if the colouring method needs all pixels at the same time you have  problem...

i never see this in other programs, so one of the rendering features i implemented early on in my mandelbrot program to make life easier with all this was to have tiled rendering support, so you can have as much supersampling as you want with as large of a resolution as you want.  if you use things like min/max/avg in the coloring method i just have it set to do a small pre-render to acquire this data.  thinking about it again, it might be more ideal to just do the tiled render, saving the raw data to file and then read it back in for coloring.  i guess like everything it depends on how expensive the location is.