#julia fractal
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#crop circle#circle#field#crops#spiral#triple spiral#fractal#julia fractal#butterfly#star#windmill hill#westwood#lockeridge#hailey wood ashbury#heart#west kennet#16 pointed star#old shaw village#woodborough hill#uk#aliens#mystery#paranormal#flickr#oldweb#old web#90s#2000s
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Women aren't usually my cup of tea BUT Goddam!! Look at the CURVES on julia!đđ©đ€
GOD she so mathematically intirciate I'm DROOLING đ€€ đ đ© đ«
Just look what she's got hidden under there â€ïž

Hnnnn you can rotate her in SIX diffrent dimensions she Is just so Flexible đ đ đ đ đ đ
Ohh my god QUEEN you contain the mathematical beauty of the universe in you
Is it just me or is it getting hot in here!!

I need her too step on me so bad
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I have no clue what Japan's school curriculum is or if/when they would ever bring up fractals in a course.
But I keep thinking about Yoshiki opening his textbook and it's just a jumpscare for him, since 'Hikaru's' insides are represented as such.

(Sits Yoshiki in front of a Mandelbrot zoom sequence to see what happens)
#the summer hikaru died#hikaru ga shinda natsu spoilers#I'm just rambling#Who knows if he'll even live that long...#Anyways fractals are cool and everywhere in nature.#I think the one that's in the manga is a Julia from a Mandelbrot fractal#I only have surface level knowledge of Fractals. I am not good at math that involves imaginary numbers.#Sorry to my Sky followers for posting about this horror mangaâŠ
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That was a lot of chessposting. Have some quaternion julia sets, as a treat These act as 3D slices of 4D extensions of julia sets. I believe this one is cubic in nature. To render these we use some math I dont understand from this blog to generate a distance estimator that can then be used to raymarch the sets. Raymarching is essentially marching along rays coming from the camera, only moving as far as we know we can move safely in any direction, until we hit something. This safe distance is where the distance estimator comes in. Anyways pretty pictures
This one I have a 3D print of
And this one I've colored the slice of it based on the coloration of the corresponding 2D julia set
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Sometimes it takes some bullshit

To make some bullshit
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if YOU đ«” were a fractal, which one would you be? not your favorite, but the one that you point at and say "omgg that's literally me"
the julias of course đ
#and the thing about the julias is that there 's infinitely many of them#so unforchies while i can show you examples there's no image that The Julia you know <2#qrevo#an asker asked an ask#fractal posting
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Tessellation of Julia Set Fractals
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#fractal#fractal art#digital art#orbit trap#quaternion Julia set fractal#image stack#animation#look-up table#ImageJ#original content
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orphic; (adj.) mysterious and entrancing, beyond ordinary understanding. âââ 008. the email.
-> summary: when you, a final-year student at the grove, get assigned to study under anaxagorasâone of the legendary seven sagesâyou know things are about to get interesting. but as the weeks go by, the line between correlation and causation starts to blur, and the more time you spend with professor anaxagoras, the more drawn to him you become in ways you never expected. the rules of the academy are clear, and the risks are an unfortunate possibility, but curiosity is a dangerous thing. and maybe, just maybe, some risks are worth taking. after all, isnât every great discovery just a leap of faith? -> pairing: anaxa x gn!reader. -> tropes: professor x student, slow burn, forbidden romance. -> wc: 3.3k -> warnings: potential hsr spoilers from TB mission: "Light Slips the Gate, Shadow Greets the Throne" (3.1 update). main character is written to be 21+ years of age, at the very least. (anaxa is written to be around 26-27 years of age.) swearing, mature themes, suggestive content.
-> a/n: yum. good night, see you next week <3 -> prev. || next. -> orphic; the masterlist.
On the board: a rough, sketched spiral that narrowed into itself. Thenâwithout explanationâhe stepped back and faced the room.
âThe Julia Set,â he began, âis defined through recursive mapping of complex numbers. For each point, the function is applied repeatedly to determine whether the point stays boundedâor diverges to infinity.â
He turned, writing the equation with a slow, deliberate hand, the symbols clean and sharp. He underlined the c.
âThis constant,â he said, tapping the chalk beneath it, âdetermines the entire topology of the set. Change the valueâjust slightlyâand the behavior of every point shifts. Entire regions collapse. Others become beautifully intricate. Sensitive dependence. Chaotic boundaries.â
He stepped away from the board.
âChaos isnât disorder. It's order that resists prediction. Determinism disguised as unpredictability. And in this caseâbeauty emerging from divergence.â
Your pen slowed. You knew this was about math, about structure, but there was something in the way he said itâbeauty emerging from divergenceâthat caught in your ribs like a hook. You glanced at the sketch again, now seeing not just spirals and equations, but thresholds. Points of no return.
He circled a section of the diagram. âHere, the boundary. A pixelâs fate determined not by distance, but by recurrence. If it loops back inward, itâs part of the set. If it escapes, even by a fraction, itâs not.â
He let the silence stretch.
âThink about what that implies. A system where proximity isnât enough.â
A few students around you were taking notes rapidly now, perhaps chasing the metaphor, or maybe just keeping up. You, however, found yourself still. His words hung in the airânot heavy, but precise, like the line between boundedness and flight.
Stay bounded⊠or spiral away.
Your eyes lifted to the chalk, now smeared faintly beneath his hand.
Thenâcasually, as if announcing the timeâhe said, âThe application deadline for the symposium has closed. Confirmation emails went out last night. If you donât receive one by tonight, your submission was not accepted.â
It landed in your chest like dropped glass.
Itâs already the end of the week?
You sat perfectly straight. Not a single muscle out of place. But you could feel your pulse kicking against your collarbone. A kind of dissonance buzzing at the edges of your spine. The type that doesnât show on your face, but makes every sound feel like itâs coming through water.
âAny questions?â he asked.
The room was silent.
You waited until most of the students had filed out, notebooks stuffed away, conversations trailing toward the courtyard. Anaxagoras was still at the front, brushing residual chalk from his fingers and packing his notes into a thin leather folio. The faint light from the projector still hummed over the fractal diagram, now ghostlike against the faded screen.
You stepped down the lecture hall steps, steady despite the pressure building in your chest.
âProfessor Anaxagoras,â you said evenly.
He glanced up. âYes?â
âI sent you an email last night,â you said, stepping forward with a measured pace. âRegarding the papers you sent to me on Cercesâ studies on consciousness. I wanted to ask if you might have some time to discuss it.â
There was a brief pauseâcalculated, but not cold. His eyes flicked to his watch.
âI saw it,â he said finally. âThough I suspect the timing was⊠not ideal.â
You didnât flinch. âNo, it wasnât,â you said truthfully. âI was⊠unexpectedly impressed, and wanted to follow up in person.â
You open your mouth to respond, but he speaks againâcalm, almost offhanded.
âA more timely reply might have saved me the effort of finding a third paper.â
You swallow hard, the words catching before they form. âI didnât have anything useful to say at the time,â you admit, keeping your voice neutral. âAnd figured it was better to wait to form coherent thoughts and opinions⊠rather than send something half-baked.â
He adjusts his cuff without looking at you. âA brief acknowledgment would have sufficed.â
You swallow hard, the words catching before they form. âRight,â you murmur, choosing not to rise to it.
Another beat. His expression was unreadable, though you thought you caught the flicker of something in his gaze.Â
He glanced at the clock mounted near the back of the hall. âItâs nearly midday. I was going to step out for lunch.â
You nodded, heart rising hopefully, though your face stayed calm. âOf course. If now isnât convenientââ
He cut in. âJoin me. We can speak then.â
You blinked.
âI assume youâre capable of walking and discussing simultaneously.â A faint, dry smile.
So it was the email. And your slow response.
âYes, of course. Iâll get my things.âÂ
You turned away, pacing steadily back up the steps of the hall toward your seat. Your bag was right where you left it, tucked neatly beneath the deskâstill unzipped from the frenzy of earlier note-taking. You knelt to gather your things, pulling out your iPad and flipping open the annotated PDFs of Cercesâ consciousness studies. The margins were cluttered with highlights and your own nested comments, some so layered they formed little conceptual tanglesârecursive critiques of recursive thought. You didnât bother smoothing your expression. You were already focused again.
âHey,â Kira greeted, nudging Iliasâs arm as you approached. Theyâd claimed the last two seats in the row behind yours, and were currently sharing a half-suppressed fit of laughter over something in his notebook. âSo⊠whatâs the diagnosis? Did fractals break your brain or was it just Anaxagorasâ voice again?â
You ignored that.
Ilias leaned forward, noticing your bag already packed. âKira found a dumpling stall, we were thinking of-â
You were halfway through slipping your tablet into its case when you said, lightly, âIâm heading out. With Professor Anaxagoras.â
A pause.
âYouâreâwhat?â Ilias straightened, eyebrows flying up. âWait, wait. Youâre going where with who?â
âWeâre discussing Cercesâ papers,â you said briskly, adjusting the strap across your shoulder. âAt lunch. I emailed him last night, remember?âÂ
âOh my god, this is about the symposium. Are you trying toâwait, does he know thatâs what youâre doing? Is this your long game? I swear, if youâre using complex consciousness theory as a romantic smokescreen, Iâm going toââ
âIlias.â You cut him off with a look, then a subtle shake of your head. âItâs nothing. Just a conversation.â
He looked at you skeptically, but youâd already pulled up your annotated copy and were scrolling through notes with one hand as you stepped out of the row. âIâll see you both later,â you added.
Kira gave you a little two-finger salute. âReport back.â
You didn't respond, already refocused.
At the front of the lecture hall, Anaxagoras was waiting near the side doors, coat over one arm. You fell into step beside him without pause, glancing at him just long enough to nod once.
He didnât say anything right away, but you noticed the slight tilt of his headâacknowledging your presence.
You fell into step beside him, footsteps echoing softly down the marble corridor. For a moment, neither of you spoke. The quiet wasnât awkwardâit was anticipatory, like the silence before a difficult proof is solved.
âI assume youâve read these papers more than once,â he said eventually, eyes ahead.
You nodded. âTwice this past week. Once again this morning. Her modelâs elegant. But perhaps incorrect.â
That earned you a glanceâquick, sharp, interested. âIncorrect how?â
âShe defines the recursive threshold as a closed system. But if perception collapses a state, then recursion isnât closedâitâs interrupted. Her architecture canât accommodate observer-initiated transformation.â
âHm,â Anaxagoras said, and the sound meant something closer to go on than I disagree.
âShe builds her theory like itâs immune to contradiction,â you added. âBut self-similarity under stress doesnât hold. That makes her framework aesthetically brilliant, but structurally fragile.â
His mouth twitched, not quite into a smile. âSheâd despise that sentence. And quote it in a rebuttal.â
You hesitated. âHave you two debated this before?â
âFormally? Twice. Informally?â A beat. âOften. Cerces doesnât seek consensus. She seeks pressure.â
âSheâs the most cited mind in the field,â you noted.
âAnd she deserves to be,â he said, simply. âThatâs what makes her infuriating.â
The breeze shifted as you exited the hall and entered the sunlit walkway between buildings. You adjusted your bag, eyes still on the open document.
âI marked something in this section,â you said, tapping the screen. âWhere she refers to consciousness having an echo of structure. I donât think sheâs wrongâbut I think itâs incomplete.â
Anaxagoras raised a brow. âIncomplete how?â
âIf consciousness is just an echo, it implies no agency. But what if recursion here is just⊠a footprint, and not the walker?â
Now he did smileâbarely. âYou sound like her, ten years ago.â
You blinked. âReally?â
âShe used to flirt with metaphysics,â he said. âBefore tenure, before the awards. She wrote a paper once proposing that recursive symmetry might be a byproduct of a soul-like propertyâa field outside time. She never published it.â
âWhy not?â
He shrugged. âShe said, and I quote, âCowardice isnât always irrational.ââ
You let out a soft breathâpart laugh, part disbelief.
âShe sounds more like you than I thought.â
âDonât insult either of us,â he murmured, dry.
You glanced over. âDo you think she was right? Back then?â
He didnât answer immediately. Then: âI think she was closer to something true that neither of us were ready to prove.â
Anaxagoras led the way toward the far side of the cafeteria, bypassing open tables and settling near the windows. The view wasnât muchâjust a patch of campus green dotted with a few students pretending it was warm enough to sit outsideâbut it was quiet.
You sat across from him, setting your tray down with a muted clink. Heâd ordered black coffee and a slice of what looked like barely tolerable faculty lounge pie. You hadnât really botheredâjust tea and a half-hearted sandwich you were already ignoring.
The silence was polite, not awkward. Still, you didnât want it to stretch too long.
âIâd like to pick her mind.â
He glanced up from stirring his coffee, slow and steady.
You nodded once. âHer work in subjective structure on pre-intentional cognition it overlaps more than I expected with what Iâve been sketching in my own models. And Entanglementâher take on intersubjective recursion as a non-local dynamic? Thatâs⊠not something I want to ignore.â
âI didnât think you would,â he said.Â
âI donât want to question her,â you said, adjusting the angle of your tablet. âNot yet. I want to understand what she thinks happens to subjectivity at the boundary of recursion, where perception becomes self-generative rather than purely receptive. And many other things, butââ
He watched you closely. Not skepticalânever thatâbut with the faint air of someone re-evaluating an equation that just gave a new result.
You tapped the edge of the screen. âThereâs a gap here, just before she moves into her case study. She references intersubjective collapse, but doesnât elaborate on the experiential artifacts. If sheâs right, that space might not be emptinessâit might be a nested field. A kind of affective attractor.â
âOr an illusion of one,â he offered.
âEven so,â you said, âI want to know where she stands. Not just in print. In dialogue. I want to observe her.â
There was a beat.
Then, quietly, Anaxagoras said, âSheâs never been fond of students trying to shortcut their way into her circles.â
âIâm not trying toâ.â You met his gaze, unflinching. âI just want to be in the room.âÂ
There was a pauseâmeasured, as alwaysâbut he understood your request.
Then, Anaxagoras let out a quiet breath. The edge of his mouth curved, just slightlyânot the smirk he wore in lectures, or the fleeting amusement he reserved for Iliasâ more absurd interjections. A⊠strange acknowledgment made just for you.
âI suspected youâd want to attend eventually⊠even if you didnât think so at the time.â He said, voice low.
He stirred his coffee once more, slow and precise, before continuing.
âI submitted an application on your behalf.â His eyes flicked up, sharp and clear. âThe results were set to be mailed to meââ After a brief pause, he says, âI thought it would be better to have the door cracked open than bolted shut.â
Your breath caught, but you didnât speak yet. You stared at him, something between disbelief and stunned silence starting to rise.
â⊠And?â
He held your gaze. âThey approved it.â He said it matter-of-factly, like it wasnât a gesture of profound academic trust. âYour mind is of the kind that Cerces doesnât see in students. Not even doctoral candidates. If you ever wanted to ask them aloud, youâd need space to make that decision without pressure.â
Your heart skipped a beat, the rush of warmth flooding your chest before you could even fully process it. It wasnât just the opportunity, not just the weight of the academic favor heâd extendedâit was the fact that he had done this for you.
You looked down at your tablet for a beat, then back up. âYou didnât tell me.â
âI wasnât sure it would matter to you yet.â His tone was even, but not distant.
Your chest tightened, heart hammering in your ribcage as a strange weight settled over you.
You leaned back slightly, absorbing itânot the opportunity, but the implication that he had practically read your mind.
You swallowed hard, fighting the surge of something fragile, something that wanted to burst out but couldnât quite take form.
âAnd if Iâd never brought it up?â you asked.
âI would have let the approval lapse.â He took a sip of coffee, still watching you. âThe choice would have always been yours.â
Something in your chest pulled taut, then loosened.
âThank you,â you saidâquiet, sincere.
He dipped his head slightly, as if to say: of course.
Outside, through the high cafeteria windows, the light shiftedâwarmer now, slanting gold against the tiles. The silence that followed wasnât awkward.Â
Youâre halfway back to your dorm when you see them.
The bench is impossible to missâleaning like itâs given up on its academic potential and fully embraced retirement. Dog is curled beneath it, mangy but somehow dignified, and Mydeiâs crouched beside him, offering the crust from a purloined sandwich while Phainon gently brushes leaves out of its fur.
They clock you immediately.
âLook whoâs survived their tryst with the divine,â Mydei calls out, peeling a bit of bread crust off for the dog, who blinks at you like it also knows too much.
âAh,â he calls, sitting up. âAnd lo, they return from their sacred rites.â
You squint. âWhat?â
âI mean, I personally assumed you left to get laid,â Ilias says breezily, tossing a leaf in your direction. âAcademic, spiritual, physicalâwhatever form it took, Iâm not here to judge.â
âLunch,â you deadpan. âIt was lunch.â
âSure,â he says. âThatâs what Iâd call him too.â
You stop beside them, arms loosely crossed. âYouâre disgusting.â
Mydei finally glances up, smirking faintly. âWe were betting how long itâd take you to return. Phainon said 45 minutes. I gave you an hour.â
âAnd I said that you might not come back at all,â Ilias corrects proudly. âBecause if someone offered me a quiet corner and a waist as sntached as his, Iâd disappear too.â
You roll your eyes so hard it almost hurts. âYouâre projecting.â
âIâm romanticizing,â he counters. âItâs a coping mechanism.â
âSo,â you ask, settling onto the bench, âMydei, did you get accepted?â
Mydei doesnât look up. âI did.â
Phainon sighs and leans back on his elbows. âI didnât. Apparently my application lacks âstructural focusâ and âfoundational viability.ââ He makes air quotes with a dramatic flourish, voice flat with mockery. âBut the margins were immaculate.â
Ilias scoffs immediately, latching onto the escape hatch. âSee? Thatâs why I didnât apply.â
âYou didnât apply,â you repeat slowly, side-eyeing him.
âI was protecting myself emotionally,â he says, raising a finger.Â
âEven after Kira asked you to?â you remind him.
âI cherish her emotional intelligence deeply, but I also have a very specific allergy to what sounds like academic jargon and judgment,â he replies, hand to chest like heâs delivering tragic poetry.Â
You snort. âSo you panicked and missed the deadline?â
âSemantics.â
The dog lets out a sleepy huff. Mydei strokes behind its ear and finally glances up at you. âI still canât believe you didnât apply. The panel was impressive.âÂ
You hesitate, staring down at the scuffed corner of your boot, when your phone dings.
One new message:
From: Anaxagoras  Subject: Addendum  Dear Student, I thought this might be of interest as well. â A. Â
Thereâs one attachment. Â
Cerces_MnemosyneFramework.pdf
You click immediately. Â
Just to see.
The abstract alone hooks you. Itâs Cerces againâonly this time, sheâs writing about memory structures through a mythopoetic lens, threading the Mnemosyne archetype through subjective models of cognition and reality alignment.
She argues that memory isnât just retentiveâitâs generative. That remembrance isnât about the past, but about creating continuity. That when you recall something, youâre actively constructing it anew.
Itâs dense. Braided with references. Challenging.Â
You hear Ilias say your name like heâs winding up to go off into another overdramatic monologue, but your focus is elsewhere.
Because itâs still thereâhis voice from earlier, lodged somewhere between your ribs.
"A brief acknowledgement would have sufficed."
Youâd let it pass. Swallowed the dry implication of it. But itâs been sitting with you ever sinceâ he hadnât needed to say more for you to hear what he meant.
You didnât know what to say. Maybe you still donât.
But you open a reply window. anyway.
Your thumb hovers for a beat.
Re: Still interested Nice paper, Prof. Warm regards, Y/N.
The moment it sends, you want to eat your keyboard.
He replies seconds later.
Re: â âWarmâ seems generous. Ice cold regards, â A.
The moment it sends, you want to eat your keyboard.
Itâs a small, almost imperceptible warmth spreading across your chest, but you force it back down, not wanting to make too much of it.Â
Then you laugh. Not loud, but the sort of surprised, almost nervous laugh that catches in your chest, because somehow, you hadnât anticipated this. You thought heâd be... formal. Distant. You didnât expect a bit of humorâor was it sarcasm?
Your fingers hover over your phone again. Should you reply? What do you even say to that? You glance up, and thatâs when you see itâIliasâ eyes wide, his face scrunched in disbelief, like heâs trying to piece together the pieces of a puzzle.â
He points at you like heâs discovered some deep, dark secret. âYouâre laughing?â
You groan, dragging a hand over your face, trying to will the heat out of your cheeks.
He doesnât even try to hold back the mock horror in his voice after peeping into your phone. âAnaxagoras is the one that;s got you in a fit of giggles?â
Ilias gasps theatrically, pressing a hand to his chest. âWait. Wait wait wait. Is he funny now? What, did he send you a meme? âHereâs a diagram of metaphysical collapse. Haha.ââ He deepens his voice into something pompous and dry: âStudent, please find attached a comedic rendering of epistemological decay.â
Youâre already shaking your head. âHe didnât even say hello.â
âEven better,â Ilias says, dramatically scandalized. âImagine being so academically repressed you forget how greetings work.â
He pauses, then squints at you suspiciously.
âYou know what?â he says, snapping his fingers. âYou two are made for each other.â
Your head whips toward him.Â
He shrugs, all smug innocence. âNo, no, I mean it. The dry wit. The existential despair. The zero social cues. Itâs beautiful, really. You communicate exclusively through thesis statements and mutual avoidance. A match made in the archives.â
âIâm just saying,â he sing-songs, âwhen you two end up publishing joint papers and exchanging footnotes at midnight, donât forget about us little people.â
You give him a flat look. âWe wonât need footnotes.â
âOh no,â Ilias says, pretending to be shocked. âItâs that serious already?â
You stomp on his foot.
-> next.
taglist: @starglitterz @kazumist @naraven @cozyunderworld @pinksaiyans @pearlm00n @your-sleeparalysisdem0n @francisnyx @qwnelisa @chessitune @leafythat @cursedneuvillette @hanakokunzz @nellqzz @ladymothbeth @chokifandom @yourfavouritecitizen @sugarlol12345 @aspiring-bookworm @kad0o @yourfavoritefreakyhan @mavuika-marquez @fellow-anime-weeb927 @beateater @bothsacredanddust @acrylicxu @average-scara-fan @pinkytoxichearts @amorismujica @luciliae @paleocarcharias @chuuya-san @https-seishu @feliju @duckydee-0 @dei-lilxc @eliawis @strawb3rri-bliss
(send an ask/comment to be added!)
#â
â works !#honkai star rail#honkai star rail x reader#hsr x gn reader#hsr x reader#anaxa x reader#hsr anaxa#hsr anaxagoras#anaxagoras x reader
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I realized I hadn't shared this here yet! Here's my 3D printed Quaternion Julia Set! See I first learned of these things reading about it from a pretty well known graphics programmer Inigo Quilez. Theirs are a lot prettier! But yeah, if you're familiar with Julia Sets and the Mandelbrot set already, this is basically that but we use 4D complex numbers called quaternions instead of the regular old complex numbers.
The original shaders I used to render them were unity CG/HLSL implementations, but this particular one is from a GLSL implementation over on my shadertoy you can find here: https://www.shadertoy.com/view/tdt3W8 It isn't exactly the same one that I've printed here (I've long lost the exact seed) but it is reasonably close. The way I printed it was I stole some marching cube code for blender and just plugged in the SDF function derived by Inigo Quilez, tweaked the values and eventually got a mesh I can print!
This uh, isn't the one I used lol. It did take a few tries to get one that was both visually interesting and also printable. In fact i wasn't even using the marching cube algorithm at first. I was using Poisson Surface Reconstruction with a python script that casted points to form a point cloud. Basically I was attempting to create a mesh like you would with photogrammetry, just with an abstract object rather than an actual thing or place.
The results were, well not good lol.
*Continues digging through box* I know its around here some where, I should have the one that works. Okay this still isnt it but this one is using the same method, I just wanted to use this for a vrchat world instead of using it for 3D printing. It gets the point across lol
But yeah. 3D printing is really cool if you're into a bit of math
#julia set#fractal#quaternion#quaternions#3d printing#math#mathematics#blender3D#mathblr#progblr#codeblr#mandelbrot#programming#coding
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Smash or Pass: the Julia fractal?
which one?
anyway its whorls stare into my soul like the eyes of a forlorn mothman viewed through a kaleidoscope. smash
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