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Author Topic: Hyperbolic tiling with golden ratio tiling pistil  (Read 1916 times)
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Dinkydau
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Posts: 1616



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« on: March 06, 2017, 12:21:14 AM »



Mandel machine, Mandelbrot set

This is almost the same as my render called "Hyperbolic tiling". The difference is the center, which is the same tiling as in my render "Golden ratio tiling" except with lower rotational symmetry.  Because of that it looks like the center is fractal just like the boundary of the circle, which really isn't a perfect circle and doesn't have infinite details at the boundary. I'm using the word pistil because it makes sense if you think of the whole shape as a flower and it's a commonly used word to describe the visual effects of fireworks.

Magnification:
2^7617.253
1.0510843298882798169523444081002 E2293

Coordinates:
Code:
Re = -1.756926777409492279550453516495033723680351314953727395189360515872146184591843562929235041931276915749278160980520618316430599415871996902596926862598035021255584780359396262195103803279188180322259185975758433064602552132685902087782172582697356951487949384199914512284706456295101378315964083825951399277140166495225573492107519435864376928215101754797308748653099155323500425030804100232823290513357194826032478988024335399553555059523787680797530674239314542520178491082473457728798567782349400912318919243828036374285195579243365772953344885235211753051813457718762395138437180050476967171845639690380658583455353083372775534301195826882333517791763473042135274373592718740018000720183062155195704010973390018010673224099324954835111442266188572316441266040459894934299292069836156852792071813200315054722275250691369880979164998090156561507211115478560688908833456753083822843148546307997091412351630135266660153355692629790064078594879383553672775254706264575937460626838569316088468346974733288361544703649698892850843264649814432705159118966243022567284812703810848844715562856162872856520748213634668861581220325870130603886541537650167217042594516038294334387532303457126404316313231550159909581928441008444958658163637661427913872790716507069731769476848474532298736078261491870844810175383872968567515405365946853881866258288217465275011445309194142950789077998977155694501788868625437827427058005812285388885094168405490589481347140892938973795414545891192610918702819509288350019554894495109091690601423964563105377795745829416332242946985762854712800875229359930903353678210397199994557129511608527215596563504440059650707931148867595481683175219052517369828635831463350676295529660777552794734747388782416425265797098883351061027873525330878674582586487058722043335216597379207002461392277772135758559138843234735929958011467771339756368252200224721587125678488695000487760210982272791728035380801563106665158542750428095039799852806322307303691040766224701292140810580204873023374141703566727495818637103031067711018980246410337736158423371852799649959608489013031423646533202632132991685263289151606681391765583633015189413030464362102303334776599497692335602467538739829390772546834450089401037983416729433916899797741030597623778859450988282809399816528282606217891413870405689
Im = 0.012173908090694117400914028111513437604936625482559659771763603873726107072844590000997222527757260109756238544155095317797354921317153228278646602801899836587359600289016682881969739277575609714449846813696853644277143319225719429734905270796374493631327669643407072832477468553858376876047739549059229204230481890995557454928684116818917908841711930809580148937066867557111019180086617834548977887978389230381994008668952189668076941721155656996853587216549985995146283732270308751394922172099452199294287481776600044862892903707625198583283045151631194396232197999805341440958336510492532791038413636669883706182125475054166319674055903401741567574488169059580037390487211937803611869296397513500367927805634469554154412834663725327959008746404508513996616156743355950106512520914312833980042683411185552292784614388033778872572960139973609853056471012707033829242709152402625408821433086231142255764158455702438284437074860856783948455963538777522738857962954275857605155396741905233595020553286664206996530778976355979938990623304541342875511668340336480606778729158581307764117919712359437172005191933084972399818079793875895747100127857412883243284984000970923858236586020368547296399751434719523317381673131029720890008803599576712279820283079684565687478723527119635759459893274395771355861896747286089960482285411384534991770012119698121174685619532603872711050429867674302097639255794018856402030489206314460304543380553672942947888902882359013096419659488996467077706443046948914298130751558465357797741262545661763075993840567561257396794363966978180169096137311826997567251359682830180332531002061629252001016876335439802268702701679777960015588505049554025306761359276474635256361954287033278240368140980538759139037882235639992358553367969017271540231065027325924915601532942711358713411689737846489809455241130223704148051134163970331548495429008934080625162350233055884855384363589465332810710174309863551304549950748543243947257125762482823942426659182489962761911109890390595838762353265197808152843851994781858437089094822848010596187659549358809691904200907172852285191190012893139287211979315795750430519504253272548520557862971714886649860404808484118785506432557260557624504408997689981016118848811000044606108032201518582330762732325041101472836700449365248807564176832490
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Kalles Fraktaler
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kallesfraktaler
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« Reply #1 on: March 06, 2017, 12:44:06 AM »

 Repeating Zooming Self-Silimilar Thumb Up, by Craig
Both are awesome but this one is a little better smiley
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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
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Dinkydau
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« Reply #2 on: March 06, 2017, 08:44:31 AM »

Thanks
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hapf
Fractal Lover
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« Reply #3 on: March 06, 2017, 11:51:05 PM »

Nice.
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Chillheimer
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Just another fractal being floating by..


chilli.chillheimer chillheimer
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« Reply #4 on: March 07, 2017, 03:14:29 PM »

wow. this one stands out! well done!
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--- Fractals - add some Chaos to your life and put the world in order. ---
claude
Fractal Bachius
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« Reply #5 on: March 09, 2017, 12:55:07 AM »

Nice one!  The black / red / gold colouring works very well.
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