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Author Topic: Triangle tiling with layered julia morphing  (Read 916 times)
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Dinkydau
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« on: March 30, 2017, 01:12:03 AM »



Mandel Machine, Mandelbrot set

This is somewhat like my render "Golden Ratio tiling" except there are triangles instead of squares, roughly, and there is a morphing at the center that is connected to the tiling. Notice how the tiling looks odd close to the sharp peaks. This image shows what a julia transformation can do to the plane.

Magnification:
2^7561.284
1.4903550178318449484728738200504 E2276

Coordinates:
Code:
Re = -1.25539673868026755865583057881474899884324965805338977974834931161909270753708598428507955786132265725790787341032505996383790425294770009682926760678760038756350899655215102205878644724210739492794886576603695584822056326228944405322883876128043521419784068398650048082189903328094223666928063926518382846840131859485476315478235880711721658003833441256818569046853194430529350784682119536773108833463488393163697761402192429756097387714961858678744874458199522006130576804388906748570341814504336685457587167749548288322872130218471448274839817042698717905831296282896184572296128713908967449798472116056514881888801683939223851000287431323336894442496881378705777070710371054440806027399735639396692322947494320719306470574708085702346217592836955660079971867889777798610664668864742574634950499717744718773283207042687948226229603847906214983193112664398233916204454147724975238550562547821344963081493668638526943588769755260131804899721402074907287731519191451163524738558324798559761025301908168987100951527274712280617758661403864423907751426459851506821125537839398255354437258208725148760906354197699944849968108933608465947163436828331417300771517124475934726602173762300539357803205221245585415774897112143250119426714150301309801319608451015128386035191726911921409455877878074524972060731613571786401216370540706975177651621092906520896665796647089230257511709648826321414635400998938455772429223454925573977621930697636796075847672588969185212087053053108181349608410897392328263641074037370638422842713171865370885525752501270851054922936215247758843441612554173733605068983133288967390278512576317125435856073016415738023888947607111601785315411777998870973224588870831157000745915650340811818424894326691568333333287310663932565094814901141779668577091589977159231317802556812362499811007994432885830314171973035269633162611613719150560321254470550921982493890373265712289506368372242619429278367534066301408804736183112417208921239690694152920285716471700108933703166679275908879135641167270283866791874989692797333223912642355592898942261239801754647548769348903336461818747933068920743148283632266306881018573511463953740275679828863365826198203134232482131820640409927700991821156544305676637683125693206284943518734414060423813465798754462992799430697523597233
Im = 0.38224857379114731727780160618658277870068837021245609010295408004674654682792434651526067447152075016911712054055366594385153982530268591629940094738282878381005830478368034558265856542451001686964767561086991338229754750137888164432857760503555842214222748025269569910342171779788637618093216751365225088244974732240931656948930320932483314069560030252947914416671414075723933875670577050947611642505633422489719007040329288770428757402243349059412605593643265949963772513244211135482494958912615966962376348986136117109044491259528402746005899258602303394927333974607538059934632921409448592026483942987894561898331313170398847213274560540208498080978196884537151786484867735486753128144430866094488699815209010954095152294908726663605582313599516699642043260982989596201950521373657665888156922245012034452507667911384714233976586046957767863867279164854686440895021022140335576849458186739533079907091119760435026551937347806292204466683044092574239012840186428481524219398943802887008041935819677278927676704522741056396257948015133645827160792737869947636479090032335098323726897300010931435172681809140933116797070843783091397880472133475422388098864490610439426060149139216159026208588057288395717243484806167182597013551312010188295824752786932984887460712578604990706454971450496155631761424072659784071238345487466805278971489867754392033632748812447312563394897601361535407192856390587221545771654081274649187234430101177287585350211747493805773283204901741582650483692607104969109485572537275107060195960439335093314127023513241367490068166620554906791774001717991666159176505400523230151821683091826328729376557926320188766146883076918559315535454082956773400405689949643379087530045232955917580766583998251709877442400316338096059478353544725752163596160773833593059946203114921949849385337925897088224267096835539727189957953695650604725670584459478345615025117820704668603117497969156810146795706772328220444509536691189407404386319819509366133216601247025480866130704549612899154869401996166840596106974136261677011932709383792444954406525867356896445713414748391884204484183065722694821005218717482082087096172332556051444206891571881664322252754694587273228380586639882319729340727003245417557444363395896390486793186299739084951434426861761486920154278237706587
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quaz0r
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« Reply #1 on: March 30, 2017, 04:30:27 AM »

oooh, i really like it!
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Kalles Fraktaler
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« Reply #2 on: March 30, 2017, 08:35:12 AM »

 Wow Spiral Thingy
Excellent
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Dinkydau
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« Reply #3 on: March 30, 2017, 01:03:45 PM »

Thank you
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knighty
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« Reply #4 on: March 30, 2017, 01:23:24 PM »

Cooooooool!
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youhn
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Shapes only exists in our heads.


« Reply #5 on: March 30, 2017, 02:59:00 PM »

Color-shape-interference all the way!!  cheesy
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #6 on: March 30, 2017, 03:02:41 PM »

Super awesome image
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No sweat, guardian of wisdom!
Kalles Fraktaler
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kallesfraktaler
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« Reply #7 on: March 30, 2017, 06:55:40 PM »

I must say, that this is something special and outstanding, and that it is a novelty in the good old over-explored Mandelbrot set.
Because these extreme deep views usually have such dense pattern around the julia formation, that the dense pattern almost look like pure noise.
But this image is making use of the surrounding pattern, and that is awesome.

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Dinkydau
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« Reply #8 on: March 30, 2017, 08:04:41 PM »

I didn't even think of it that way. I just wanted to make an image of a tiling more interesting by making a julia morphing in the center. Indeed the tiling has replaced the noise around the shape that would normally be there. That's a nice way to look at it.

Thanks for the replies again.
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simon.snake
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simon.fez SimonSideBurns
« Reply #9 on: March 31, 2017, 12:06:22 AM »

That is pretty impressive.

I copied and pasted the coordinates into Kalles Fraktaler but so far I haven't been able to display the image.  What were the maximum iterations?

I'm trying 700,000 (and a few others lower) that just resulted in a black screen so now I'm trying 2,000,000.
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Dinkydau
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« Reply #10 on: March 31, 2017, 01:10:15 AM »

I used 4100100 and the highest numbers of iterations seems to be around 3217000. You may have figured that out by now.
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Kalles Fraktaler
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« Reply #11 on: March 31, 2017, 09:05:50 AM »

I rendered this in 2880x1620 in claude's kf-2.11.1+gmp.20170330.1 in 2hrs 5min, with 3 references.
How long time did it take in Mandel Machine?
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Dinkydau
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« Reply #12 on: March 31, 2017, 11:53:18 PM »

About 6 hours for a resolution of 26640×19980. I don't know how many references but not many. It was a pretty easy render. What is the CPU you used? I remember you mentioned somewhere you were using a laptop.
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hapf
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« Reply #13 on: April 01, 2017, 06:29:58 PM »

I must say, that this is something special and outstanding, and that it is a novelty in the good old over-explored Mandelbrot set.
Because these extreme deep views usually have such dense pattern around the julia formation, that the dense pattern almost look like pure noise.
But this image is making use of the surrounding pattern, and that is awesome.
<Quoted Image Removed>
There are 2 main factors. First how the all the morphing spreads out the structure (evenly or squeezing a lot into certain areas and leaving a lot of gaps elsewhere) and how you colour the stuff. Even the most chaotic looking structure can be tamed with suitable colouring (and oversampling). This location is quite skipping friendly (~3190000) and one can get away with one reference visually.
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jwm-art
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« Reply #14 on: April 02, 2017, 12:32:03 AM »

Just echoing what KF said above really! Good work :-)
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