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Author Topic: Hyperbolic Tiling  (Read 1347 times)
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Dinkydau
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« on: March 01, 2017, 04:46:46 AM »



Mandel Machine, Mandelbrot Set

Magnification:
2^9528.267
1.96867349951058992570457297689 E2868

Coordinates:
Code:
Re = -1.756926777409492279550453516495033723680351314953727395189360515872146184591843562929235041931276915749278160980520618316430599415871996902596926862598035021255584780359396262195103803279188180322259185975758433064602552132685902087782172582697356951487949384199914512284706456295101378315964083825951399277140166495225573492107519435864376928215101754797308748653099155323500424032515503632943877540941269937753219332750031155997257007735630645001804442494410344515171761780837965521161145949929385718344997107345020550112919948961776859937561972610049462772673335327304076258007953562870277113009300095418403488865446349624538390601042906279212763227314317435836759464838665317512652364017941034905174924357215221204412825712886336785669960838326527167258178587327065912252216028873559063409529104931584692692134500802150917626258500072268676549828758054461099056624613561703907079114304441411645828874052609665087901806396679444769247624090395246295253991570412343388604004228551841070267194030149177053404030605049345402940003155186390145782038650457446514434143500620447691056585881261459299655399711689790193599046270438809240136354557216550198429382400223984533617303572588546333699081610972834933870340626327227263873972664302680491326889621766208985008128206782094777594759485937754618957774578011783469515555545589306785745131557049793598172372628494023058772990695301360598724233455573022856897294006377351644177790133565707507320517431312476992791655581495922606709237008260182963609026759904161533774943402149720247272619923789975954280408132982418523090357503950064049810275381455304812332611350772290023476349067342931280822650230215451088932235710819532125730515032718349973852039569381182780047071649999399010950402577732485884190229681745419899889400324258788221257745234332145712783319239143114542893397101480859243364440301724727539622960259114680337152700404342874878426944283206273252760074773693036543212057025886887184210438227745286516107498097379609380921624120125638294600743948376535275530028775460284706427375237177253858497182810864024185817898464458162536358678634664962216774612516892956062678968512625084441519452084642854447687123445565402152976805297583810123560650437547261665838721410557278761057329124085308304846206848035626113648381337565971204297522336234154437496733374391060530615816492542543185608666755611758563298984351255027866346971195557308627955342611839593122193130280933752639661289656890845254627729546830059608959698693685882283635741094038710656351875177620274636737097273520995463005583999891795889737123171928382263589714042966825778450326600903644812462386347339829431921919614685922225375584676585319678165881856852547109600616024576212020711822798011026463969302026843165277638119904827380877940569423848435757288129323983896603638162129032258462412091695918682819311830223063151636183984138597787668138578909122470
Im = 0.012173908090694117400914028111513437604936625482559659771763603873726107072844590000997222527757260109756238544155095317797354921317153228278646602801899836587359600289016682881969739277575609714449846813696853644277143319225719429734905270796374493631327669643407072832477468553858376876047739549059229204230481890995557454928684116818917908841711930809580148937066867557111016049458821584211227380986860548098232560049241966240668016534282351712772881929807250108661153334088891739857925891616283637900108882656126086660868515711210462511729758370998371753785213305318129950589451414140362283199762949263436322258150962827033016254824862776177013979401337028590483766614416603748376422613894001072716270443441587668136602203441400353803359385851855832308545875866661472016769156456868870760089480424298692580538537298090244522433214997971841405991936459236000878840378754437340870042851202147353784580582808116639853985830377410201535810803146558591131181606899703522345623558621485663672592232162595734481686658421658043774043245563004415507002567760602114568230071541296927687324564562784656460580447242769508348958685254206490784636428403685165861212226303491130794510137029492112779660686168529497617368030714445621049616297876442204707552942501720121200715531362769275256022229166299995448826011594963843360252142309211818070033852674433077159095081275281592576654503459467456900425381503132020470305413769890910232500283814694113160082298282780749747434686106130509408222964374402817061281789597926038965877316706757563363235088857021142872627893792650320347644967766669152668910345913823318485953145481142503405645013957188119769477791576161811615237398972421643902938351114464158849972331643331148154660038023745502416572757145463591041949943669425354093159591452347457156096624143498530037866025869926358777814654094339505287708258587787133721583847850034390162442232719058889755416116938967486109723646090990431066068865161031201851597179576189485819278493816779568754333864787935247755423704813914068845546044406988595707877429586486930681135691094419372220630765480089115679848721929957956854554471136637563280776261415252436732671019025854069683667032186222719308892164153266112380104376630942236638743302379898275762055307478414075700188394767262774171094901380097042646763821249469694582592264349876549235026653552636890202631074555353817163007744407482438367209415103560731916448403086113850747115391249442471118288779996925913291011219901901661911960578659718607263302004803662353800075865694645156759284590114615859664698554936479130117387490848851563453834706014424225649411612534577334904017516071175010449910725583894062148982783636280890963028842851287764076610389225531347910126520319758204277458861345653900349154882400101803499507349838984412398256455818451804263636797366761377809257490764190751471526021050045949333829014431020368677285241365402
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youhn
Fractal Molossus
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Posts: 696


Shapes only exists in our heads.


« Reply #1 on: March 01, 2017, 09:03:34 AM »

Super cool man!

Reminder a bit of the geometry of anti-de Sitter space:



and also, of course, Escher:

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Kalles Fraktaler
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« Reply #2 on: March 01, 2017, 02:51:53 PM »

Excellent!
I assume you found it using the Newton Raphson function in KF?
How long did it take to find the location?
How long did it take to render the result in MM and in what resolution?
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Dinkydau
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« Reply #3 on: March 01, 2017, 03:37:02 PM »

Thanks.

The devil and angel painting is my favorite by Escher.

Excellent!
I assume you found it using the Newton Raphson function in KF?
How long did it take to find the location?
How long did it take to render the result in MM and in what resolution?
Yes. The depth is a little overkill here because the structure was already clear a few morphings before this, but the Newton-Raphson zooming made it so easy. It may have taken a few days at most to reach this - I don't remember. The render time was 23 hours at 26640 × 19980.
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TheRedshiftRider
Fractalist Chemist
Global Moderator
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« Reply #4 on: March 01, 2017, 05:19:14 PM »

Very cool!
Repeating Zooming Self-Silimilar Thumb Up, by Craig

I am also a fan of Escher's work. I especially this one:
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Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting. nerd
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