--- title: "Meaning & Key Takeaway of: I conceived and developed a new geometry…" description: "\"I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragme..." image: "https://sms4smile.com/quotes/i/453/benoit-mandelbrot-7685_diverse_i-conceived-and-developed-a-new-geometry_748284.jpg" --- # I conceived and developed a new geometry of nature and… ![“I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.” quote by Benoit Mandelbrot](https://sms4smile.com/quotes/i/453/benoit-mandelbrot-7685_diverse_i-conceived-and-developed-a-new-geometry_748284.jpg) [Download](https://sms4smile.com/quotes/i/453/benoit-mandelbrot-7685_diverse_i-conceived-and-developed-a-new-geometry_748284.jpg) [Open image](https://sms4smile.com/quotes/i/453/benoit-mandelbrot-7685_diverse_i-conceived-and-developed-a-new-geometry_748284.jpg) > “I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.” [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Fractals reveal repeating patterns in complex, irregular structures across many fields. **In simple terms:** Patterns repeat in chaos. Key Takeaway Study fractal patterns. Themes science mathematics creativity Mood analytical curious Type scientific educational When to use this quote - physics - computer graphics - biology - finance Key Concepts fractal theory scale invariance Questions to Reflect On - What natural patterns can you view as fractals? - How can fractal thinking improve problem solving? A Different Perspective Fractals can be mathematically challenging to model. ★ ★ ★ ★ ★ No ratings yet [Family](https://sms4smile.com/quotes/about/family/) [Fractals](https://sms4smile.com/quotes/about/fractals/) [Geometry](https://sms4smile.com/quotes/about/geometry/) [Nature](https://sms4smile.com/quotes/about/nature/) [Nomenclature](https://sms4smile.com/quotes/about/nomenclature/) [Patterns](https://sms4smile.com/quotes/about/patterns/) [Science](https://sms4smile.com/quotes/about/science/) [Shapes](https://sms4smile.com/quotes/about/shapes/) ## Related quotes > [One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining…](https://sms4smile.com/quotes/benoit-mandelbrot/one-of-the-high-points-of-my-life-was-when-i-suddenly-realized-that/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [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…](https://sms4smile.com/quotes/benoit-mandelbrot/i-claim-that-many-patterns-of-nature-are-so-irregular-and-fragmented/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate…](https://sms4smile.com/quotes/henry-john-stephen-smith/for-each-successive-class-of-phenomena-a-new-calculus-or-a-new/) [Henry John Stephen Smith](https://sms4smile.com/quotes/author/henry-john-stephen-smith/) > [“Straight lines evidently belonged only to geometry, not to nature and life.”](https://sms4smile.com/quotes/hermann-hesse/straight-lines-evidently-belonged-only-to-geometry-not-to-nature-and/) [Hermann Hesse](https://sms4smile.com/quotes/author/hermann-hesse/) > [“No very good sense can be given to the idea that the elements of Euclidean geometry may be found in nature because either everything…](https://sms4smile.com/quotes/david-berlinski/no-very-good-sense-can-be-given-to-the-idea-that-the-elements-of/) [David Berlinski](https://sms4smile.com/quotes/author/david-berlinski/) > [I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes.…](https://sms4smile.com/quotes/benoit-mandelbrot/i-spent-half-my-life-roughly-speaking-doing-the-study-of-nature-in/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [A fractal is a way of seeing infinity.](https://sms4smile.com/quotes/benoit-mandelbrot/a-fractal-is-a-way-of-seeing-infinity/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.](https://sms4smile.com/quotes/benoit-mandelbrot/if-you-have-a-hammer-use-it-everywhere-you-can-but-i-do-not-claim/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Beautiful, damn hard, increasingly useful. That's fractals.](https://sms4smile.com/quotes/benoit-mandelbrot/beautiful-damn-hard-increasingly-useful-that-s-fractals/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [ The existence of these patterns \[fractals\] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the… ](https://sms4smile.com/quotes/benoit-mandelbrot/the-existence-of-these-patterns-fractals-challenges-us-to-study-forms/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically…](https://sms4smile.com/quotes/benoit-mandelbrot/the-theory-of-chaos-and-theory-of-fractals-are-separate-but-have-very/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. 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It grew without…](https://sms4smile.com/quotes/benoit-mandelbrot/i-conceived-developed-and-applied-in-many-areas-a-new-geometry-of/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) ## More by Benoit Mandelbrot > [Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…](https://sms4smile.com/quotes/benoit-mandelbrot/regular-geometry-the-geometry-of-euclid-is-concerned-with-shapes/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made…](https://sms4smile.com/quotes/benoit-mandelbrot/it-was-astonishing-when-at-one-point-i-got-the-idea-of-how-to-make/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.](https://sms4smile.com/quotes/benoit-mandelbrot/pictures-were-completely-eliminated-from-mathematics-in-particular/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [In mathematics and science definition are simple, but bare-bones. 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