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Fractals Quotes

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Fractals Quotes

“Examples of fractals are everywhere in nature. They can be found in the patterns of trees, branches, and ferns, in which each part appears to be a smaller image of the whole. They are found in the branch-like patterns of river systems, lightning, and blood vessels. They can be seen in snowflakes, seashells, crystals, and mountain ranges. We can even see the holographic and fractal-like nature of reality in the structure of the Universe itself, as the clusters of galaxies and dark matter resemble the neurons in our brain, the mycelium network of fungi, as well as the network of the man-made Internet.”

LoveLifeMindHeartSelfGodWisdomRealityTruthHappinessSpiritualFormJoySpiritSpiritualityUniverseFearPeaceEnjoyNatureFreedomExistenceConsciousnessCompassionPathMysteryJourneyAwarenessAcceptanceEmotionalSourceBuddhismSelf LoveEvolutionGratitudeForgivenessEnlightenmentIllusionUnityAppreciationAwakeningZenOnenessBlissAweEmptinessConnectionHinduismNondualityMentalPresenceNowTantraSamadhiNirvanaWithinBrahmanInterconnectionMayaThird EyeFractalsHolographic UniverseSelf AcceptenceNon ResistenceFormless
Book:The Answer Is YOU: A Guide to Mental, Emotional, and Spiritual Freedom
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“Examined in color through the adjustable window of a computer screen, the Mandelbrot set seems more fractal than fractals, so rich is its complication across scales. A cataloguing of the different images within it or a numerical description of the set's outline would require an infinity of information. But here is a paradox: to send a full description of the set over a transmission line requires just a few dozen characters of code. A terse computer program contains enough information to reproduce the entire set. Those who were first to understand the way the set commingles complexity and simplicity were caught unprepared—even Mandelbrot.”

InformationFractals1987Mandelbrot
Book:Chaos: Making a New Science
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“Across the world millions of lives are altered by the absence of the dead, but three members of Teddy's last crew—Clifford the bomb-aimer, Fraser, the injured pilot, and Charlie, the tail-end Charlie—all bail out successfully from F-Fox and see out the rest of the war in a POW camp. On their return they all marry and have children, fractals of the future.”

DeadSurvivorsEndingRipple EffectFractalsAlternate UniverseButterfly EffectA God In RuinsKate AtkinsonTwist Ending
Book:A God in Ruins
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“Consider cotton prices," Malcolm said. "There are good records of cotton prices going back more than a hundred years. When you study fluctuations in cotton prices, you find that the graph of price fluctuations in the course of a day looks basically like the graph for a week, which looks basically like the graph for a year, or for ten years. And that's how things are. A day is like a whole life. You start out doing one thing, but end up doing something else, plan to run an errand, but never get there... And at the end of your life, your whole existence has that same haphazard quality, too. Your whole life has the same shape as a single day.”

FractalsJurassic ParkIan MalcolmMandelbrot
Book:Jurassic Park
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“In a fractal conception, I am a cell-sized unit of the human organism, and I have to use my life to leverage a shift in the system by how I am, as much as with the things I do. This means actually being in my life, and it means bringing my values into my daily decision making. Each day should be lived on purpose.”

Self HelpFractalsOrganizingEmergent Strategy
Book:Emergent Strategy: Shaping Change, Changing Worlds
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“While we think of the boundary between what is legal and what is not as a clear dividing line, it is far from being so. Rather, the boundary becomes further and further indented and folded over time, yielding a jagged and complicated border, rather than a clear straight line. In the end, the law turns out to look like a fractal: no matter how much you zoom in on such a shape, there is always more unevenness, more detail to observe. Any general rule must end up dealing with exceptions, which in turn split into further exceptions and rules, yielding an increasingly complicated, branching structure.”

LawPatternsFractalsExceptionsExceptions To The Rule
Book:Overcomplicated: Technology at the Limits of Comprehension
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“Meanwhile, people are busy using fractals to explain any system that has defied other, more reductionist approaches. Since they were successfully applied by IBM's Benoit Mandlebrot to the problem of seemingly random, intermittent interference on the phone lines, fractals have been used to identify underlying patterns in weather systems, computer files, and bacteria cultures. Sometimes fractal enthusiasts go a bit too far, however, using these nonlinear equations to mine for patterns in systems where none exist. Applied to the stock market to consumer behavior, fractals may tell less about those systems than about the people searching for patterns within them. There is a dual nature to fractals: They orient us while at the same time challenging our sense of scale and appropriateness. They offer us access to the underlying patterns of complex systems while at the same time tempting us to look for patterns where none exist. This makes them a terrific icon for the sort of pattern recognition associated with present shock—a syndrome we'll call factalnoia. Like the robots on Mystery Science Theater 3000, we engage by relating one thing to another, even when the relationship is forced or imagined. The tsunami makes sense once it is connected to chemtrails, which make sense when they are connected to HAARP. It's not just conspiracy theorists drawing fractalnoid connections between things. In a world without time, any and all sense making must occur on the fly. Simultaneity often seems like all we have. That's why anyone contending with present shock will have a propensity to make connections between things happening in the same moment—as if there had to be an underlying logic.”

TechnologyMediaNewsConspiracyPresentParanoiaFractalsFractalPresent ShockFractalnoia
Book:Present Shock: When Everything Happens Now
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“In reality, a river's basic shape... is not a line but a tree. A river is, in its essence, a thing that branches... Although it flows inward toward its trunk, in geological time it grew, and continues to grow, outward, like an organism, from its ocean outlet to its many headwaters. In the vernacular of a new science, it is fractal, its structure echoing itself on all scales, from river to stream to brook to creek to rivulet, branches too small to name and too many to count.”

RiversChaosFractalsBranching
Book:Nature's Chaos
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“Just as it was not necessary for Beethoven to know the science of the physical manufacture of the instruments in his orchestra in order for him to compose, it is not necessary for you to understand vortex based mathematics, fractal field theory, dodecahedrons, geometric solids, calculus, Fibonacci series, centripetal force, and quantum physics in order to become enlightened.”

EnlightenmentMathematicsQuantum PhysicsVortexFractalsBeethovenMagickal StudiesDodecahedrons
Book:666: Connection with Crowley
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“In the heaven of the great god Indra is said to be a vast and shimmering net, finer than a spider’s web, stretching to the outermost reaches of space. Strung at the each intersection of its diaphanous threads is a reflecting pearl. Since the net is infinite in extent, the pearls are infinite in number. In the glistening surface of each pearl are reflected all the other pearls, even those in the furthest corners of the heavens. In each reflection, again are reflected all the infinitely many other pearls, so that by this process, reflections of reflections continue without end.”

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Author:David Mumford, Caroline Series, David Wright
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“I probably spend more time writing than reading science fiction. I find that science-fiction literature is so reactive to all the literature that's gone before that it's sort of like a fractal. It's gone to a level of detail that the average person could not possibly follow unless you're a fan. It iterates upon many prior generations of iterations.”

WritingPersonsReadingLiteratureLevelsFictionGoneGenerationsFansScience FictionAverageDetailsMore TimeAverage PersonFractals
Author:James Cameron
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“Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes, completely artificial ones, imaginary landscapes. And how did he choose them? Well, he had the balance of trees, of lawns, of houses in the distance. He had a balance of small objects, big objects, big trees in front and his balance of objects at every scale is what gives to Poussin a special feeling.”

GivingWellsIdeasFeelingsBigsBeautifulHouseClearTreeSpecialFrontsObjectsBalanceDistanceScalesPainterLandscapeClassicArtificialImaginaryLawnsFractalsBeautiful LandscapesSmall Objects
Author:Benoit Mandelbrot
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“One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.”

LongHardDreamTogetherPureLateScientistMathematicsCombinationEngineersAdolescenceGeometryHard ThingsCombiningNuisanceFractalsHigh Points
Author:Benoit Mandelbrot
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“Any issue and any problem, no matter what height you look at it from, no matter how much you extend past the first fractal, it's still a fractal of something that emanates from within your consciousness - from within the human consciousness. And it'll move on and manifest itself externally, and then those are what we pick up as societal ills. But all these battles we're fighting are internal. For me, it's reconciling hope with dread and trying to cut out some place in my mind where my heart can be protected a little bit.”

TryingMindFirstsHumansLooksHeartLittlesStillsMatterProblemPastMovingFightingBitsConsciousnessIssuesCuttingMy HeartBattleLittle BitPicksNo Matter WhatHeightInternalsManifestDreadProtectedHuman ConsciousnessEmanateFractals
Author:El-P
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“I don't believe that it's inconsistent to be suspicious of people and also be totally comfortable with deploying the technology, because you know its fractal potential. It's a vote for politics. It's a vote for the will to politics. There will be people, a one percent of people, that can use this stuff effectively, develop it, implement it. That's why it's necessary. That's why civilization exists, so those few people can exercise incredible techniques.”

PeopleKnowsBelieveUseStuffTechnologyExerciseCivilizationComfortablePercentVoteDon't BelieveIncrediblesTechniqueSuspiciousInconsistentFractalsDeploying
Author:Cody Wilson
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“The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.”

FeelsFormScienceNatureChallengesExistenceStudyTheoryPatternsChosenMathematicianEuclidFractalsDevisingMorphology
Author:Benoit Mandelbrot
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“Cocoa-buttered girls were stretched out on the public beach in apparently random alignments, but maybe if a weather satellite zoomed in on one of those bodies and then zoomed back out, the photos would show the curving beach itself was another woman, a fractal image made up of the particulate sunbathers. All the beaches pressed together might form female landmasses, female continents, female planets and galaxies. No wonder men felt tense.”

IfsMenMadeShowsBodyMightTogetherFormGirlFeltWonderPlanetsFemaleWeatherBeachContinentsGalaxyTenseAlignmentSatellitesAnother WomanFractalsCocoa
Book:American Salvage: Stories
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“I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.”

MightTodayOrderNamesProcessBrokenGrewShapesAreasOrganizedLatinGeometryChaoticOrbitBroken UpNew WordsFractals
Author:Benoit Mandelbrot
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