an-extraordinary-amount-of-arrogance-is-present-in-any-claim-of-having-been-the-first-in-inventing-something

asking-right-questions-is-as-important-as-answering-them-benoit-mandelbrot

Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line... Nature exhibits not simply a higher degree but an altogether different level of complexity.

**Benoit Mandelbrot**

why-is-geometry-often-described-as-cold-dry-one-reason-lies-in-its-inability-to-describe-shape-cloud-mountain-coastline-tree-clouds-are-not-benoit-mandelbrot

geometry quotescold quotesdry quotesreason quoteslies quotesinability quotesdescribe quotesshape quotescloud quotesmountain quotescoastline quotestree quotesclouds quotesspheres quotesmountains quotescones quotescoastlines quotescircles quotesbark quotessmooth quoteslightning quotestravel quotesstraight quotesline quotesnature quotesexhibits quotessimply quoteshigher quotesdegree quotesaltogether quoteslevel quotescomplexity quotes

I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid-a term used in this work to denote all of standard geometry-Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."

**Benoit Mandelbrot**

i-claim-that-many-patterns-nature-are-irregular-fragmented-that-compared-with-euclid-term-used-in-this-work-to-denote-all-standard-geometrynature-benoit-mandelbrot

claim quotespatterns quotesnature quotesirregular quotesfragmented quotescompared quoteseuclida quotesterm quoteswork quotesdenote quotesstandard quotesgeometrynature quotesexhibits quotessimply quoteshigher quotesdegree quotesaltogether quoteslevel quotescomplexity quotesexistence quoteschallenges quotesstudy quotesforms quoteseuclid quotesleaves quotesformless quotesinvestigate quotesmorphology quotesamorphous quotes

smooth-shapes-are-rare-in-wild-but-extremely-important-in-ivory-tower-factory-benoit-mandelbrot

if-you-assume-continuity-you-can-open-wellstocked-mathematical-toolkit-continuous-functions-differential-equations-saws-hammers-engineering-benoit-mandelbrot

now-that-i-near-80-i-realize-with-wistful-pleasure-that-on-many-occasions-i-was-10-20-40-even-50-years-ahead-my-time-benoit-mandelbrot

although-computer-memory-is-no-longer-expensive-theres-always-finite-size-buffer-somewhere-when-big-piece-news-arrives-everybody-sends-message-to-benoit-mandelbrot

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.

**Benoit Mandelbrot**

i-conceived-developed-applied-in-many-areas-new-geometry-nature-which-finds-order-in-chaotic-shapes-processes-it-grew-without-name-until-1975-benoit-mandelbrot

conceived quotesdeveloped quotesapplied quotesareas quotesgeometry quotesnature quotesfinds quotesorder quoteschaotic quotesshapes quotesprocesses quotesgrew quotes1975 quotescoined quotesword quotesdenote quotesfractal quotesgeometry quoteslatin quotesirregular quotesbroken quotesfractus quotestoday quotesorganized quoteslife quotesorbit quotes

i-was-in-industrial-laboratory-because-academia-found-me-unsuitable-benoit-mandelbrot

Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

**Benoit Mandelbrot**

science-would-be-ruined-if-like-sports-it-were-to-put-competition-above-everything-else-if-it-were-to-clarify-rules-competition-by-withdrawing-benoit-mandelbrot

think-color-pitch-loudness-heaviness-hotness-each-is-topic-branch-physics-benoit-mandelbrot

unfortunately-world-has-not-been-designed-for-convenience-mathematicians-benoit-mandelbrot

the-theory-probability-is-only-mathematical-tool-available-to-help-map-unknown-uncontrollable-it-is-fortunate-that-this-tool-while-tricky-is-benoit-mandelbrot

round-about-accredited-orderly-facts-every-science-there-ever-floats-sort-dustcloud-exceptional-observations-occurrences-minute-irregular-benoit-mandelbrot

I was asking questions which nobody else had asked before, because nobody else had actually looked at certain structures. Therefore, as I will tell, the advent of the computer, not as a computer but as a drawing machine, was for me a major event in my life. That's why I was motivated to participate in the birth of computer graphics, because for me computer graphics was a way of extending my hand, extending it and being able to draw things which my hand by itself, and the hands of nobody else before, would not have been able to represent.

**Benoit Mandelbrot**

i-was-asking-questions-which-nobody-else-had-asked-before-because-nobody-else-had-actually-looked-at-certain-structures-therefore-as-i-will-tell-benoit-mandelbrot

questions quotesasked quoteslooked quotesstructures quotesadvent quotescomputer quotescomputer quotesdrawing quotesmachine quotesmajor quotesevent quoteslife quotesmotivated quotesparticipate quotesbirth quotesgraphics quotesgraphics quotesextending quoteshand quotesdraw quotesthings quoteshand quoteshands quotesrepresent quotes

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.

**Benoit Mandelbrot**

the-existence-these-patterns-fractals-challenges-us-to-study-forms-that-euclid-leaves-aside-as-being-formless-to-investigate-morphology-amorphous-benoit-mandelbrot

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there-is-saying-that-every-nice-piece-work-needs-right-person-in-right-place-at-right-time

think-color-pitch-loudness-heaviness-hotness-each-is-topic-branch-physics

when-weather-changes-nobody-believes-laws-physics-have-changed-similarly-i-dont-believe-that-when-stock-market-goes-into-terrible-gyrations-its-rules-have-changed

the-techniques-i-developed-for-studying-turbulence-like-weather-also-apply-to-stock-market

for-much-my-life-there-was-no-place-where-things-i-wanted-to-investigate-were-interest-to-anyone

most-were-beginning-to-feel-they-had-learned-enough-to-last-for-rest-their-lives-they-remained-mathematicians-but-largely-went-their-own-way

my-fate-has-been-that-what-i-undertook-was-fully-understood-only-after-fact

a-cloud-is-made-billows-upon-billows-upon-billows-that-look-like-clouds-as-you-come-closer-to-cloud-you-dont-get-something-smooth-but-irregularities-at-smaller-scale

although-computer-memory-is-no-longer-expensive-theres-always-finite-size-buffer-somewhere-when-big-piece-news-arrives-everybody-sends-message-to-everybody-else-buffer-fills

i-was-in-industrial-laboratory-because-academia-found-me-unsuitable

now-that-i-near-80-i-realize-with-wistful-pleasure-that-on-many-occasions-i-was-10-20-40-even-50-years-ahead-my-time

smooth-shapes-are-rare-in-wild-but-extremely-important-in-ivory-tower-factory

there-is-joke-that-your-hammer-will-always-find-nails-to-hit-i-find-that-perfectly-acceptable

until-few-years-ago-topics-in-my-phd-were-unfashionable-but-they-are-popular-today