#mandlebrot set

[math-memes]

#squid game #mandlebrot set #finite area with infinite perimeter #math meme

[betrayedbycinnamon]

Every so often I remember THIS is a thing and go play with it for a while. If you haven't had the pleasure so zoom in, zoom in, zoom in. Guh.

#mathematics #mandlebrot set #fractals #gorgeous

[robotics5]

mandlebrot set? in your header

Yes it's a mandelbrot fractal. So is my pfp. They're also both the colors of gender pride flags, try to guess which ones

#asks

[lily-orchard]

34

34: Who/what was your last dream about?

Falling into a mandlebrot set

[rogue-os]

New ttrpgs came in the mail! really excited to get into these, especially The Bureau (I really love Control). got these from Exalted Funeral which is quickly becoming my favourite ttrpg store but damn I wish shipping wasn't so expensive to AU.

Liminal Horror and The Bureau are made by Goblin Archives

FIST and Mandlebrot Set are made by CLAYMORE

#ttrpg #indie ttrpg #exalted funeral #claymore #goblin archives

[doctornolonger]

Listen, Learn, Read On

Helen Fayle’s sequel to “Nine Queens”, inspired by Paul Magrs’ comment that he liked the story but “wanted to see the wake!” This introduces Taliesin, whose appearance was based on Eric Stoltz, and sets up Fayle’s Book of Taliesin cycle.

You didn’t really think Alien Bodies was the end, did you?

A wake is the strangest phenomenon: it’s one of the few times where people who cannot stand to be in the same room with each other for five minutes at a time will happily swap stories in a corner, before circulating to another conversation and verbally ripping apart whomsoever they were just talking to. Where family and friends can meet for the first time in years, only to realise that they have nothing to say to one another. And never really did.

And of course, there’s always an elderly relative walking around the room holding onto an equally decrepit family tortoise, complaining to all and sundry that it’s just done something unmentionable down the front of his trousers: Just don’t ask him for a canapé.

This one, despite the attendees and the nature of the deceased, is no different. Thankfully, no one has invited the relatives this time.

This time. If truth be told, Sarah has no real idea when or where she is: Iris had made the arrangements, and as usual the result is – bizarre – to say the least. “Neutral territory” she’d called it. A pocket universe tucked away in a corner of the vortex, where timelines and space can mingle without fear for the consequences.

It looks as if the décor was created by a drug-crazed hybrid of Escher and Mandlebrot. And the surreal fractal pulsing of the surroundings is making her feel a bit ill. Unless it's the mushroom vol-au-vont.

“It’s all rather over the top, don’t you think?” The voice is quiet, full of conspiratorial amusement.

Sarah turns to look at the speaker – a young man, long red hair falling with only a slight curl to his shoulders; green eyes, and an oh-so-easy on the eyes smile framed by a neatly trimmed beard. Despite her mood, she finds herself responding to the smile with one of her own.

“I’m sorry?”

He reaches out and takes her arm, steering her to a quieter area. “It’s a bit over the top, don’t you think?” he repeats.

“Oh, I don’t know. Some of him would have rather enjoyed it,” she replies.

He finds a small garden area, with two wicker chairs nestled in the centre of a manicured, postage stamp lawn. Sitting easily in one, he flicks his long black coat out of his way with a practised elegance, and gestures to Sarah to sit.

“Please. You look like someone who needs to talk.”

She eyes him suspiciously, but she takes the seat. “To a stranger?” She leans forward, making quite sure he knows she’s not someone to be pushed around.

Those light green eyes look deeper into hers for a brief moment. “Am I?”

She rests her chin on her hand. “You tell me. Who are you?”

“That,” he says quietly, “is a good question. Call me Taliesin, if you need to call me anything. Names can have peculiar qualities, don’t you think?”

“They do?” She is starting to feel a little confused, and it isn’t wholly due to the wine.

Another quiet, fleeting smile. “So they say. Personally, I think you can tell a lot from a person by the names they choose.”

“Did you choose ‘Taliesin’?” Sarah asks, sensing an opening.

“You could say… it chose me. It’s certainly fitting, so I see no reason to change it.”

Sarah is starting to feel like Alice caught face to face with the White Rabbit. She narrows her eyes, brushes a strand of silver-shot hair back off her face. “Why are you here?” There is, as ever, a refuge of sorts in questions.

“Another good question. Maybe it’s one I can’t answer.” It’s obvious he knows that place of safety as well. He sips at his glass of wine, his eyes fixed on her face.

She snorts. “That’s ridiculous. I mean, it’s a wake, everyone’s here for the same reason –”

“Are they?” He asks abruptly, leaning towards her. “How do you know?”

Confused, she stares at him. “I don’t understand…”

“Yes you do.” He points back towards the main throng. “Friends, enemies, acquaintances, politicians… they’re all here for different reasons. Some to gloat, some to mourn, some just because they think it's the thing to do. You were a journalist – are you telling me you couldn’t get a hundred stories from the beings in there, if you wanted to?”

“That was a lifetime ago. And how do you know what I was?”

“I know a lot of things.” He leaned back in the chair, relaxed again. “I’ve been many things.”

“A friend of his?” Sarah hazards a guess. He shakes his head.

“I never met the man.”

“But you’re here,” Sarah points out. “So why?”

Those eyes hold her again. “Do you know who Taliesin was on your world, Sarah?”

“A mythical bard. Pulled from a river, he was called Gwion until he was reborn from the goddess Ceridwen as Taliesin…” A thought stirrs, a flutter of hope. But no, it is impossible.

“Suppose,” he says, leaning forwards again, and taking her hand, “suppose someone was granted a second chance. Suppose, just for a moment, that that someone was granted one short time to be somewhere – that this was a price that had to be paid.”

Sarah opens her mouth to speak, but he reaches out and touches a finger lightly to her lips, briefly.

“Ssshhh. Let me finish. Just suppose that he was granted one gift. But that if he said anything directly, or allowed someone to say something that related to what had gone before, the spell would be broken, and like Orpheus, his one chance would fade away. What do you think he would ask for?”

Her eyes are fixed on his, widening suddenly. Before she can speak, he presses a finger again to her lips.

“Sshhh, don't break the spell!”

She almost laughs, he looks and sounds so earnest. "You're crazy – and talking in riddles!” she hisses. “It’s impossible.”

“Riddles are what I’m best at. And you’re right. That would be impossible. A rebirth is not a renewal, after all. Maybe I’m not what you think I am.” The smile widens to a grin, but the eyes are serious, and slightly worried. “But you didn’t answer my question.”

“Which one?” she shoots back. “You are a question, in yourself, aren’t you? What are you?”

“I’ve been so many things… where do you want me to start? ‘I have been in many shapes, Before I attained a congenial form…’ ” He declaims softly. She glares at him.

“Are you mocking me?”

His voice is still so soft. “Never that, Sarah-Jane.” He gestures, and she sees a doorway shimmer in the riotous maelstrom of colour surrounding them. “I could start at the beginning, but I suppose, in a way, that’s what I’m offering.”

“You’ve lost me.”

“I do hope not.” His smile is mischievous, for a moment. “Here, where Iris has elected to hold a wake, in this place where so many possibilities meet, at a celebration of an ending, I’m offering you a new beginning.”

Irresistibly, his hand pulls her from her seat, towards him. Standing this close, she notices vaguely that he isn’t that tall – although he still has about five inches on her slight frame. He looks down at her, and lays his free hand – the one not still holding hers, on her cheek.

“It’s a choice, Sarah. One step, to a new start, a new life. If you want it. One threshold to cross.”

She looks away, her heart fluttering, her mind racing, still unsure of exactly what he’s offering. “I’m too old to start again,” she says, stalling for time.

“That’s easily remedied. I wouldn’t ask otherwise.”

She bites her lip, and raises her head, her eyes seeking his again. “How do I know you are who I think you are?”

“Maybe it’s a question of faith.” He squeezes her hand gently. “All you have to do is not look back, remember?”

“You’re mixing your mythologies,” She snaps back, shivering, even though there is no draft… She stares at the pale doorway. Such a fragile thing…

“The universe is defined by our choices. Someone you once knew made a poor choice once, abandoned something he loved dearly. And because of pride, or fear, or simple arrogance, never rectified that mistake.” His voice took on a deeper, compelling tone. “Choices, Sarah – and faith. Will you make a choice?”

He is standing behind her now, not touching her. Without turning, she says softly:

“The question you asked me – would – someone – ask to come back to correct a choice?”

“He might” is the barely audible reply. “He might.”

“Then,” she says, “why not?”

And in another time, another place, a woman in a rose coloured gown licks a finger and turns a page in a book she carries.

And smiles.

#for archiving purposes #only #no copyright infringement intended #helen fayle #the book of taliesin #alien bodies #the relic #archival

[xmfvwu]

PDF The Misbehavior of Markets: A Fractal View of Financial Turbulence EBOOK BY Benoît B. Mandelbrot

Download Or Read PDF The Misbehavior of Markets: A Fractal View of Financial Turbulence - Benoît B. Mandelbrot Free Full Pages Online With Audiobook.

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A groundbreaking mathematician presents a new model for understanding financial marketsBenoit B. Mandelbrot is world-famous for inventing fractal geometry, making mathematical sense of a fact everybody knows but that geometers from Euclid on down had never assimilated: Clouds are not round, mountains are not cones, coastlines are not smooth. To these insights we can now add another example: Markets are not the safe bet your broker may claim.Mandelbrot, with co-author Richard L. Hudson, shows how the dominant way of thinking about the behavior of markets--a set of mathematical assumptions a century old and still learned by every MBA and financier in the world--simply does not work. He uses fractal geometry to propose a new, more accurate way of describing market behavior. From the gyrations of the Dow to the dollar-euro exchange rate, Mandlebrot shows how to understand the volatility of markets in far more accurate terms than the failed theories that have repeatedly brought the

[peeterjoot]

A better 3D generalization of the Mandelbrot set.

A better 3D generalization of the Mandelbrot set.

I’ve been exploring 3D generalizations of the Mandelbrot set: Visualizing the 3D Mandelbrot set, and Some 3D renderings of the Mandelbrot set, Slicing of the 3D Mandelbrot set, and analysis. The iterative equation for the Mandelbrot set can be written in vector form ([1]) as: \begin{equation} \begin{aligned} \Bz &\rightarrow \Bz \Be_1 \Bz + \Bc \\ &= \Bz \lr{ \Be_1 \cdot \Bz } + \Bz \cdot \lr{…

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#3D Mandelbrot set #fractal #Geometric Algebra #geometric product #grade selection #Mandlebrot set #netCDF #Paraview

[vbartilucci]

Benoit Mandlebrot has the Google Doodle today, so...

#Benoit Mandlebrot #Mandlebrot Set #Jonathan Coulton

[turing-tested]

mandlebrot set my beloved

[dootsnaps]

haven't done any fractal art in years, doing some mandlebrot dives now [image: deep-zoomed image of the mandlebrot set, showing the center of an embedded julia with 8-way rotational symmetry]

#fractal #wallpaper

[tomasorban]

FRACTAL DHARMATA & UNIVERSAL HYPER-INTELLIGENCE

Our rediscovery of the accurate 3D Dharmata geometry is based on the novel Timewave discovery of Novelty Theory, visionarily rediscovered by ontologist Terrence McKenna, initially in the 1970s.

The Timewaves’ typological morphology has been acredited by UCLA scientist and mathematician, professor Ralf Abrahams (A Chronology Of Time), as the fractal symmetry of the ontological morphology of time itself.

The Timewave verified to be an accurate cartography of time’s temporal wave architecture within the atomic clock observation measurements made by Los Alamos Laboritory physicist, Dr. Sheliak. The temporal behavior within the scale of the ATOMIC clocks, behaved accordingly to the Timewave-1 graph topology…

Thus, Puharich’s assertion to the ATOM’s nucleus MM force within the proton, to be following fractal electric/magnetic charge, which he also relates to the Mandlebrot set — is clearly here highlighted for the very first time. Especially when we understand the relation between the Timewave, Dharmata, and the mandlebrot fractal, as follows…

This leads us to our findings… By tracing the complete Timewave graph into 3D computer animation software; replicating the design 180° in mirror symmetry; and then rotating this into 3 dimensions, the beautiful and remarkable precise morphology of the Dharmata was resurrected from the catacombs of antiquity. Dharmata’s shape is traced by the Mandlebrot fractal symmetry outline.

Before Leonardo Da Vinci’s version of this mandelbrot fractal design within his Leicester Codex, he was preceeded by several hundred years in the remarkable labour undertaken by Monk Udo of Achen, who spent 9 years calculating the accurate Mandlebrot set which he called Divinitas (“Godhead”), rather than using Abacus, he utlised the Vedic mathematics of ‘algorythm’ calculations that utilised the Vedic arabic numerals (based on Brahmi-script), (The forgotten genius of Udo von Aachen", Schipke, R.J. and Eberhardt, A., Harvard Journal of Historical Mathematics, 32, 3 (March 1999), pp 34-77), which itself is derived from Vedic mathematics. He depicted it as the star of Bethlehem.

The Timewave, also appears to be the accurate morphology of the full permutation of the DNA genom (by the implication of Dr. Martin Schönberger’s accademically impeccable I-Ching and The Genetic Code: The Hidden Key To Life). Thereby, the fractal MM fields of the hadronic force in the proton, through 8hz electrolysis of water, producing the amino acids and full proteins in the very same fractal symmetry as itself… which itself is the complete permutation of the DNA code, is extraordinary…

That is: proteins “Made in the Image of its Creator,” the organising 27D Hadron through its MM fractal symmetry… and which turns out to be the symmetrical geometry of the full permutation of the DNA codon language.

Thereby, giving a fractal (self-similar, self-organising, self-reflective/conscious), hyper-topology of the All-One Macro nature of the hadron’s hyperdimensional unified hypercharacteristics... The hadronic mechanic’s Macro Irreversible Hyper-Organisation of all life.

Thereby: the hyper-morphology of indivisible wholeness that is all-one Hyper-Intelligence — HTI: Hyper-Temporal/Hyper-Terrestrial Intelligence.

UNIVERSAL LANGUAGE OF LIFE

Thus, some initial major decipherments of the Universal Language orchestrated by the Hadronic-Intelligence Hyper-Organisation of Life, have been decrypted, self-embedded and axiomatic within the very cipher codes of life itself, and within the very heart fields of proto-matter (proton-matter proper).

Hereby, we have identification of the fractal Universal Language composed of a hadronic hyper-semantics that has seamless axiomatic similitude in its linguistics between the fractal design of the code of life and the fractal geometry of the MM force comprising the alphabet of all the periodic elements that composit the universe…

Same fractal semantics as the DNA life code and the organising fractal force in the heart of all the periodic elements that built the universe… And the application of one (the fractal MM within the proton), upon the element water (by 8hz electrolysis), produces living complex amino acid chained proteins that grow according to the fractal Dharmata/Mandlebrot image/symmetry, that is the characteristics of the MM proto-force in the atomic heart; and which is also the fractal image of the entire ontological morphology of the DNA code, itself a composite of amino acids…

Talk about Self-Organisation, Self-Reflection, Self-Similarity… The same, self-similar, universal All-One Mind-Heart — the indivisible unity between the, so called, inanimate and the animate (such a consequence is also objectively established by hadronic hyper-mathematics. Arbitary connections have been eliminated, illusive assumptions vacuumed into nonexistence)

The human genome is some 3.6 billion DNA letters in length, whilst one single X-chromosome is a macro-DNA molecule some 160 million DNA letters in length. Dr Robert Pollack relates that the DNA:

“Is also a form of text, and that therefore it is best understood by analytical ways of thinking commonly applied to other forms of text, for example, books.”

— R. Pollack A Crisis In Scientific Moral, Nature, 385,1997. pp 674

One cannot analyse a text like a book, if one presupposes that there was no intelligence behind writing it. The very fact that the DNA turns out to be an intricate language, written in complex grammer, reveals an intelligence that has a far more holographically integrated hyper-semantics than our present use of languages.

The DNA resonating crystal is an intelligently ordered linguistics with a holographic laser resonation communication continuum, as molecular biologist Dr. Frank-Kamenetskii relates:

“The DNA crystal is aperiodic, since the sequence of base pairs is as irregular as the sequence of letters in a coherent text.”

—M. D. Frank-Kamenetskii Unveiling The DNA. New York, VCH Publishers, 1993. Pp 31

Or as noted biologist Sir Charles Dobbs had relayed:

“The whole of the protein in the human body is replaced in roughly 160 days… When one contrasts the great complexity of the protein molecule with the fact that millions of these substences are constantly being built up and disintegrated in the human body, and moreover rebuilt to precisely the same structure, one cannot help but speculate about the controlling mechanism.”

—Sir Charles Dobbs, quoted in Dr. Harold Saxton Burr’s, The Fields Of Life (Ballantine, New York, 1973).

Thus, to find the same fractal self-similarity in the DNA code’s permutations as that of the organising force within the protons from the hadron omegon, should seriously transcend the primitive assumption of zero intelligence behind the DNA life book.

The fractal self-similarity thus of DNA, time, the proton’s hadronic magnetic monopole force, and the fractal growth of life exposed to the 8hz ELF field of this fractal force, demonstrates a post modern fax simile of the Veda’s, “man made in the Image of the Original Model of Manu,” and the Biblical, “Man made in the Image and the Similitude of God.”

Puharich’s observation of the fractal ‘mandlebrot’ geometry arising from the Magnetic Monopole force within the proton, in the 8hz electrolysis of water, and his above mentioning of this being the fractal electric and magnetic charge within each of the 3 quarks that compose the proton of the atomic nucleus, now has some astounding and surprising cross-verifications…

That is: the Timewave fractal form discovered by McKenna, vindicated by Temporal Chronologer Dr. Ambraham, and observed to be the actual nature of the fractal geometry of time within the atomic clocks, by Dr. Sheliak.

However, clarity descends only when our novel discovery of the Dharmata 3D symmetry of the Timewave was renderred, and the Dharmata is beautifully outlined by the Mandlebrot set.

The Vedic description of the Dharmata (which also means “the universal law of divine love”), and taken forwards all the way into Sanskrit/Buddhist art and cosmology, is also utilised as the geometry of time, the Dharma Maha Kala (“Law of Omni-Time”).

Java, Indonesia, Meru temple with 72 Dharmata Stupa’s upon the AUM Sri Yantra, 27 line geometry. With 432 Buddhas. Charting the 27 Lunar mansions

Forinstance, the 72 Stupas placed on Mt. Meru, in Java, Indonesia, is a prime example. Not only the outline of the Dharmata, but the fact that there are 72 of them on this version of the Meruprastara mountain (the sum of each row of bricks that build the Meruprastara pyramid equates to the sum number sequence that 8hz established upon itself within water… 8, 16, 32, 64 etc… Meru AKA the Sri Yantra, or the Sierpinski pyramid of modern mathematics).

These 72 Dharmata/Stupas are arranged on the Meru pyramid (itself acting as chronomonitor of the 27 lunar mansions through which the Moon passes in one lunar year), in such a manner as to mark the 1° of precession shift of our planet within the 12 zodiac houses — 72 years per degree, 360 x 72 for the complete zodiac wheel (nevermind the axiomatic 27/72).

Meru Prastara Vedic Pyramid Altar & Chonomoniter

#ananda bosman #metaphysics #universe #sacred geometry #esoteric #consciousness #dna #genetics

[bluesycobalt]

Advice for the Autumn

There is a tendency In capitalistic worlds, Realms of being into whose fabric Is woven “desire” or “Taṇhā” To take threads like these, Wrap them around the neck of sensations, And strangle them to death On their own symbols.   Fall is a purple face And around its neck is an F and an A and an L and another and Pumpkin flesh bulges in lumps around these letters The froth of lattes, Viscous clumps of cinnamon, flecks of nutmeg, Bubbling like a Mandlebrot set From its mouth.   The choking begins with two words, Impossible to articulate without a shutting, Inward contraction of the lips “I wish,” That tightens the noose And ends with an unresolved hush Like a candle snuffed.   Grown children Bereft and robbed of object permanence Lament their mistake, Watch the smoke rise up From the candle they mistakenly snuffed, Smothered in hopes of cloves and cardamom dreams, Ginger and brown sugar hints in the departing wisps of smoke.   Nothing stays dead, It all someday returns, But you have to unsmother it, Give it air to breathe, And let it return on its own time.

#poem #poetry #spilled ink #writing

[puppetsoftomorrow]

The stuff I talked about at the end wasn't about fractals, it's actually what derivatives are pretty much, it's something anyone who's taken a calculus course probably can get but if you haven't it's probably really different from anything else you've seen in maths. Fractals are basically self-similar patterns, basically within a pattern you can see the pattern again. A classic example is you start with a square, divide that in 9 and take out the middle one, then for the remaining eight you divide THOSE in 9 and take out the middle one, and then with the remaining squares you do the same and on and on and on. That's a relatively simple one, but there are more complicated ones. There's the really famous mandelbrot one that there are a bunch of videos on youtube with it colored and zooming in and stuff, they're really pretty. I'll definitely check out the tag! Thanks so much!

yee actually in the uk we dont do like calculus / algebra etc we just do maths? like all of it at once lmao. i took a year of extra maths but i finished that when i was 16 ... a long time ago now lmao

also yess i remember my friend katharine talkin to me abt the mandlebrot set!! wild tbh

#phoebe lifeblogs

[peeterjoot]

Visualizing the 3D Mandelbrot set.

Visualizing the 3D Mandelbrot set.

In “Geometric Algebra for Computer Science” is a fractal problem based on a vectorization of the Mandelbrot equation, which allows for generalization to \( N \) dimensions. I finally got around to trying the 3D variation of this problem.  Recall that the Mandlebrot set is a visualization of iteration of the following complex number equation: \begin{equation} z \rightarrow z^2 +…

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