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Author Topic: Glimpse of variety  (Read 748 times)
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Dinkydau
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« on: May 05, 2015, 12:15:35 PM »



Mandel machine, mandelbrot set

This was submitted in the fractal art competition of this year:
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=17483
(I wonder why the page is so wide.)

This is roughly an S made up of 3 different shapes, as obtained by performing 3rd degree evolution. The 3 types of shapes are circles, stripes/rows and trees. For this to be possible within the current zoom limit of mandel machine, I had to come up with a more efficient way of zooming. I saved zoom depth by using the decorations around the main mandelbrot set to morph with, instead of embedded julia sets. Nearby embedded julia sets lie twice as deep, so this saves a factor 2 in total zoom depth. The result is that everything in the image is connected without any thin lines. This S doesn't really contain shapes, it's rather made up of shapes that are connected to the surroundings everywhere. They would easily blend in with the background if the coloring was not suitably chosen.

While this render is pushing the limits of what mandel machine can do, it's only a glimpse of what kind of variety exists in the mandelbrot set. I went up from 1 to 2 to still just 3 different shapes in an S and already I can allow only a few morphings per shape for it to be feasible.

The depth is possibly a record again. It's deeper than my image Baby Monster which was at a depth of 2^6900. It must be said that Baby Monster is much more extreme because of the high iteration counts.

Magnification:
2^7596
4.2057849597650643003533697421555 E2286

Coordinates:
Code:
Re = -0.7820265315745378229829074907223897362698428093621709995383088945329436315789856510463219590295595973926180707494194871468079742429213010026110587773634756503697417593026411259522248334941826326120646798782563126182327607997106708898371078552783721933908150328301144230742062686041031888321790616973264320229804760815075052102456830898892771124716864462138260055152497856707628465988887792974399359641301914444565628284247886250727026011519842578501019266147976293902918682874852904590434229996867846320626963754151984911208108070139891960579590488380705787530077376465937380450658824974437873249657878899134468942422767299772804838001274224908645237384271578320134865224385731800053579957185937627798753169227376538911355987851394331942210401721326174047254979769506603128704433592219604448522770064367213279129410676172999561379871905222417522080158336222116514303653623779384622295657700548831331997664683807129845323231204029530153952186070448636526399152647231955511949784504583372293422818328117498151185322966221176308641292103071341297477047298064902219060317332136536561874228418375177420241948019250697582156810497508346065726749349753585005063802178842024952988943800467239149018529926727250214668537371715689045667541438037964481114833321459057331296180410415148785096511772822823351812675018249004254846930682146832915680237000281464707619834526991367163459628582857421462618515397132260842135151894504968623653996626667862160766374424321511223422721650760443694323869478740725791724527211165659301878016334129859435017216630410457968916576600497967146382791371336590343711904960256175060886551269935071518859421583098387113573446155716497897300695831131106707502170410467833468206417280476662209977387541333173463615739654480106189857707506067079586360812568693324753405232060203483838227628255584771451040865458095098367670905046600878216380210247635370151878272505718506280022669384469653055202604373398121021123324642068149450687820998055699372359185770859681692501480759463093584100659034589173605115343904469428177675602897850129857478217885289582680003651379460047919468346184920446412421078808946325806146170320768151670621416185634192839642584714930159156675490816366568313228806482721657281005628058323316770331848480930593348620715403634352489603326577426570145268864066
Im = -0.1479285879307847197665366865684294821135779380665140047639496649706525251648367754820658518371249465775329471740867133054982171393059171895423928748732244429015082702916367240380228956758822488672086336035542505362504327882018991994874780405928918519015428734434810883690121536852871673592802615377426067922026085751044789612063208684651010472483344035825087247541161542144134343872762185655395069961022991654108963005067289840149307051492052745681186323238738185065967107947062148407975715189876965131941131616492381337108991006399795499509093831889787481381555044267406585035061146976566915035504492600337514029907136401380422382015282163393518827679563308616112406566190378408270057982312405578484197070267163262492247313649712533387153962115809888847411994146751106462793865831012016360669870646125569441530539035261053436104264774575486946580633786205637737679213772280946395492023626845751970431519174989437092330487218616579286032273728597764733473189419183063959732437961990414873776557472887645972512810198535789993928613648910222245099816563931224819494599348531648784788633176377720775532760436337567277804999062100790093986776406767329399068954698580873429257730205260127216089311983660149263915037537909469236345533865776643451396595407559426064866015933549523092772935713028337445080273952826628762741282035727805191112547425778963854239861855680297424660345039564783333839400026526678384576167169379555796535854580282932516717041592133980575793303524310698556057014574419329015146666759066177599052738123521553835740274705121467509298547033899342486143448947762080567495265859581087048374923122042496423035475986149313475846824707151665164995536307306234001761682728523211907542986019566987063453598465204234005815659265330549739085419079192148773327290585294465305030398018041155727614106135529361957126259834626083662004530758522547383943745794431963841490362138789482984497253128937846909110487634301387627160710277700339767839741045542916467107168354483963435493121788499113435390813187609026440901949115954356275161377122561284474847759383965924044258437642099619150190162686570753909655104016769682810516480390647542773222721127267255545114505932567374885005196006911960502202635759583636661750086445785999849902571366013351881343957557186947438468940340055874515551464982
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Pauldelbrot
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« Reply #1 on: May 05, 2015, 05:57:02 PM »

Repeating Zooming Self-Silimilar Thumb Up, by Craig

Impressive!
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Dinkydau
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« Reply #2 on: May 06, 2015, 12:22:15 AM »

Thanks!
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cKleinhuis
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« Reply #3 on: May 06, 2015, 01:02:04 AM »

awesome pic, the details get a little bit lost, but the variety is awesome, lol i couldnt resist and cut out that thing staring at me  hurt evil

looks like E.T.


* facy.jpg (89.9 KB, 600x516 - viewed 213 times.)
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Kalles Fraktaler
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« Reply #4 on: May 07, 2015, 05:58:05 PM »

 Repeating Zooming Self-Silimilar Thumb Up, by Craig

E2286 might just be the deepest julia morphing ever  shocked
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Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
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