Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature. Learn more about all the stuff that MIT is doing and researching with fractals here: https://www.pinterest.com/mitk12videos/what-is-a-fractal-and-what-are-they-good-for/ ---------- Find us online! Facebook: http://www.facebook.com/MITK12 Twitter: http://www.twitter.com/MITK12Videos http://k12videos.mit.edu ---------- made with love at MIT Creative Commons: CC BY-NC-SA, MIT http://k12videos.mit.edu/terms-and-conditions Hosted by: Yuliya Klochan Written by: Elizabeth Choe & Yuliya Klochan Additional Scripting by: George Zaidan Content Reviewer: Dr. Kwang Don Choe Executive Producer & Doodles: Elizabeth Choe Director: George Zaidan Camera: Adam Morrell Editor & Motion Graphics: Per Hoel Theme song: Anthony Thomas & Neil Aggarwal Music: “Unanswered Questions” by Kevin Macleod (http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1200025) Fractals in nature pictures: http://commons.wikimedia.org/wiki/File:Mandelriver.jpg and https://theyinfactor.files.wordpress.com/2013/06/236085main_milkyway-full.jpg (NASA/JPL-Caltech) and http://en.wikipedia.org/wiki/User:Tchock00 and http://upload.wikimedia.org/wikipedia/commons/d/db/Lightning_over_Oradea_Romania_cropped.jpg Menger Sponge visualization from https://www.youtube.com/watch?v=hHsFUmMFIX0 DNA chromatin fractal globule visualization courtesy of Maxim Imakaev and the Mirny Lab at MIT (http://mirnylab.mit.edu/) Special thanks: MIT Radio Club, Prof. John Essignmann & Ellen Essignmann, Dr. Kwang Don Choe, Max Imakaev

What is a fractal, and how can fractals help us understand the universe? Classic examples of fractals in nature are broccoli and snowflakes. They can offer a fascinating explanation for how the world works! Written by Brandon Pestano, animated by Christopher Brooks. Subscribe to BBC Ideas 👉 https://bbc.in/2F6ipav ------------------------------------------------------------------------------- Do you have a curious mind? You’re in the right place. Our aim on BBC Ideas is to feed your curiosity, to open your mind to new perspectives, and to leave you that little bit smarter. So dive in. Let us know what you think. And make sure to subscribe! 👉https://bbc.in/2F6ipav Visit our website to see all of our videos: https://www.bbc.com/ideas And follow BBC Ideas on Twitter: https://twitter.com/bbcideas #bbcideas #fractals #science

What are fractals? Just look at your broccoli to find out! License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions

Chaos, present in everything from a drop of water to the galaxies in our universe, has long fascinated people from cultures across the world. The natural disorder present in the branches of trees, lightning, and coastlines, to name a few examples, may seem to be completely chaotic; however, self-similarity within these phenomena is much more organized than it appears. Repeating patterns in many natural objects and processes are known as fractals, figures that show self-similarity at different levels. The study of fractals, both in nature and pure mathematics, has advanced numerous branches of science, such as computing, telecommunications, fluid dynamics, biology and medicine, and can offer innovative new perspectives on human science and technology. Transcript: https://docs.google.com/document/d/1-npA-GqDGYr49Fn6l1MEFnm0y3DdSTbrq6p9QZv2sQw/edit Music by Emile van Krieken: https://www.youtube.com/user/EmilevanKrieken https://www.facebook.com/EmilevanKriekenMusic Song: Wings (Aether 2) https://www.youtube.com/watch?v=klPo9v5dn64 Thanks for watching! Likes and favorites are appreciated! Find us on Google+ or Facebook! http://bit.ly/293CevT

What do movie special effects, the stock market, and heart attacks have in common? They are connected by a revolutionary new branch of math called fractals, which changed the way we see the world and opened up a vast new territory to scientific analysis and understanding. Meet the mathematicians who developed fractals from a mere curiosity to an approach that touches nearly every branch of understanding, including the fate of our universe. Not an endorsement of the Koch brothers agenda in any way.

The idea of consciousness is notoriously obscure and difficult to analyze. It’s not even clear what the word stands for, an entity, quality, process, or something else. New analysis, however, may shed some light on the subject by telling an evolutionary tale of our subconscious attraction and fascination with fractals. Facebook: https://facebook.com/nextobserver Patreon: https://www.patreon.com/nextobserver Sources The Fractal Nature of the Brain: EEG Data Suggests That the Brain Functions as a "Quantum Computer" in 5-8 Dimensions https://www.neuroquantology.com/index.php/journal/article/view/279 Fractal dynamics in physiology: Alterations with disease and aging https://www.pnas.org/content/99/suppl_1/2466 The Fractal Patterns of Words in a Text: A Method for Automatic Keyword Extraction https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0130617 A fractal topology of time: implications for consciousness and cosmology https://www.academia.edu/245209/A_Fractal_Topology_of_Time_Implications_for_Consciousness_and_Cosmology Fractals: A Resonance between Art and Nature https://www.researchgate.net/publication/226130687_Fractals_A_Resonance_between_Art_and_Nature The facts about Pollock’s fractals https://blogs.uoregon.edu/richardtaylor/2017/01/04/the-facts-about-pollocks-fractals/ Fractal patterns in nature and art are aesthetically pleasing and stress-reducing http://theconversation.com/fractal-patterns-in-nature-and-art-are-aesthetically-pleasing-and-stress-reducing-73255 Entanglement and Phase-Mediated Correlationsin Quantum Field Theory. Application toBrain-Mind States https://www.researchgate.net/publication/335016260_Entanglement_and_Phase-Mediated_Correlations_in_Quantum_Field_Theory_Application_to_Brain-Mind_States Fractals, coherent states and self-similarity induced noncommutative geometry https://arxiv.org/abs/1206.1854

There are patterns everywhere, all around us. It seems like they are telling us a story, a story filled with hints and clues about our universe. There are many people who noticed and expressed this in many different ways. Mathematician Benoit Mandelbrot noticed and pointed out the fractal geometry of nature through mathematics, the Japanese artist Hokusai expressed it through the Great Wave off Kanagawa, and throughout human history architecture and art around the globe seems to have been inspired from these self similar fractal patterns of the universe, in other words, finger prints of God. From Simulation Hypothesis to Fractal Geometry it seems like our universe is inherently mathematical in nature. So in this video, we discuss one of the fascinating questions of this age: 'Is God, a mathematician?'. 'Is God, a mathematician? Fractal Geometry of Nature - Question The Patterns' Further Reading: Fractal Geometry Documentary: Hunt For The Hidden Dimension https://www.youtube.com/watch?v=s65DSz78jW4&t=400s What is a fractal? (The best explanation of Koch Snowflake I found) https://www.youtube.com/watch?v=WFtTdf3I6Ug Benoit Mandelbrot: Fractals and the art of roughness (TED talk) https://www.youtube.com/watch?v=ay8OMOsf6AQ&t=29s West, Brown and Enquist's Model of Allometric Scaling Again: The Same Questions Remain (the whole book) https://www.jstor.org/stable/3599237?seq=1#page_scan_tab_contents Big Think Interview With Benoit Mandelbrot https://www.youtube.com/watch?v=Xm-2ouPGrlY More Videos of Mine: Simulation Hypothesis - Questioning The Nature Of Your Reality https://www.youtube.com/watch?v=sqFZawWKmbo Arrival: Language - The Next Step In Human Evolution https://www.youtube.com/watch?v=h2LEnkoYGJg&t=1s What Happens After Death? - Let's Talk About Death https://www.youtube.com/watch?v=GlL7yR9Awew&t=112s If you enjoyed this video, consider liking and sharing with your like-minded friends on social media. I will post new videos every week, so subscribe to my channel to be updated every time a new video hits the web. Subscribe to my channel here: https://www.youtube.com/channel/UCsTdj2y_niVoSwPIdHUGVZA Follow me on Facebook at https://www.facebook.com/northerndiariesmedia/ Twitter https://twitter.com/NorthernDiaries If you are a reader, then I’ve got a Journal of Things blog for you https://journalofthingsblog.wordpress.com/ Journal of Things is a weekly video essay series that covers topics from films, politics to science and spirituality. Anything can happen is all I’m saying 😉 Northern Diaries Digital Media is an entertainment channel created by Sudharsanan Sampath. Here you can watch video essays, short films, feature films, Top 10 Videos, documentaries, web series and many more. Credits: Some footages from PBS Nova's Hunting The Hidden Dimension Music Dark Times Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 License http://creativecommons.org/licenses/by/3.0/

NOVA leads viewers on a mathematical mystery tour -- a provocative exploration of math's astonishing power across the centuries. We discover math's signature in the swirl of a nautilus shell, the whirlpool of a galaxy and the spiral in the center of a sunflower. Math was essential to everything from the first wireless radio transmissions to the prediction and discovery of the Higgs boson and the successful landing of rovers on Mars. But where does math get its power? Astrophysicist and writer Mario Livio, along with a colorful cast of mathematicians, physicists and engineers, follows math from Pythagoras to Einstein and beyond, all leading to the ultimate riddle: Is math an invention or a discovery? Humankind's clever trick or the language of the universe? Whether we think we're good with numbers or not, we all use math in our daily lives. The Great Math Mystery sheds fascinating light on how math works in our brains and ponders the ultimate mystery of why it works so well when decoding the universe.

In this episode I discuss Fractals. The geometry of all things. . . Fractals Explained / Mandelbrot Set / Universal Geometry / Geometry / Fractal / Self Similar / Topolgy / Collective Unconscious / Archetypes . Follow me on Intagram for updates on future episodes - @thesporeofficial . . Explanation of the Mandelbrot Set - https://youtu.be/MwjsO6aniig . . All footage is from Pixabay . . Music from YouTube Audio Library - Fluidscape by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 licence. https://creativecommons.org/licenses/by/4.0/ Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100393 Artist: http://incompetech.com/

No Beginning & No Ending, Shown & Proven in No Limit of Time... Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set), in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set, using a very simple equation with computers and graphics.

Students explore fractals looking for connections to the Fibonacci Sequence.

Fractal Practice: Visualizing the Fibonacci Sequence, Sacred Geometry of the Golden Ratio - phi. A Xaviar Thunders Animation. Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987... is derived by adding the two prior numbers to generate the next. When the two prior numbers are divided you approach this number: 1.6180339887498948482045868 The proportion builds the animation above and produces the Fibonacci Spiral. Full Movie coming. Music: Jerry Goldsmith - Theme from Basic Instinct