Fractals are SMART: Science, Math and Art!

What is Chaos Theory?

Chaos is the science of surprises, of the nonlinear and the unpredictable. It teaches us to expect the unexpected. While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or control, like turbulence, weather, the stock market, our brain states, and so on. These phenomena are often described by fractal mathematics, which captures the infinite complexity of nature. Many natural objects exhibit fractal properties, including landscapes, clouds, trees, organs, rivers etc, and many of the systems in which we live exhibit complex, chaotic behavior. Recognizing the chaotic, fractal nature of our world can give us new insight, power, and wisdom. For example, by understanding the complex, chaotic dynamics of the atmosphere, a balloon pilot can “steer” a balloon to a desired location. By understanding that our ecosystems, our social systems, and our economic systems are interconnected, we can hope to avoid actions which may end up being detrimental to our long-term well-being.

Don't blame me!

Principles of Chaos
  • The Butterfly Effect: This effect grants the power to cause a hurricane in China to a butterfly flapping its wings in New Mexico. It may take a very long time, but the connection is real. If the butterfly had not flapped its wings at just the right point in space/time, the hurricane would not have happened. A more rigorous way to express this is that small changes in the initial conditions lead to drastic changes in the results. Our lives are an ongoing demonstration of this principle. Who knows what the long-term effects of teaching millions of kids about chaos and fractals will be?
  • Unpredictability: Because we can never know all the initial conditions of a complex system in sufficient (i.e. perfect) detail, we cannot hope to predict the ultimate fate of a complex system. Even slight errors in measuring the state of a system will be amplified dramatically, rendering any prediction useless. Since it is impossible to measure the effects of all the butterflies (etc) in the World, accurate long-range weather prediction will always remain impossible.
  • Order / Disorder Chaos is not simply disorder. Chaos explores the transitions between order and disorder, which often occur in surprising ways.
  • Mixing: Turbulence ensures that two adjacent points in a complex system will eventually end up in very different positions after some time has elapsed. Examples: Two neighboring water molecules may end up in different parts of the ocean or even in different oceans. A group of helium balloons that launch together will eventually land in drastically different places. Mixing is thorough because turbulence occurs at all scales. It is also nonlinear: fluids cannot be unmixed.
  • Feedback: Systems often become chaotic when there is feedback present. A good example is the behavior of the stock market. As the value of a stock rises or falls, people are inclined to buy or sell that stock. This in turn further affects the price of the stock, causing it to rise or fall chaotically.
  • Fractals: A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc.

“As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.”

-Albert Einstein

-Albert Einstein

No Pings Yet

  1. Rich Data & AI for Richer Personalized Customer Experience in 2018 on January 19, 2018 at 9:30 am
  2. Top 203 Operational Support and Analysis Goals and Objectives Questions – ART-OF-SERVICE.COM on January 8, 2018 at 12:46 pm
  3. 213 In-Depth Energy system Questions for Professionals – SEARCH-ENGINES-SEO.COM on January 8, 2018 at 2:43 am
  4. A633.5.3.RB_Blake | Bryan Blake Embry-Riddle on December 19, 2017 at 7:11 pm
  5. The Choas Theory. The Chaos theory covers a lot of aspects not traditionally expected or explained by scientists or even historians. They are unexpected events that occur, with no precedent, yet recognized as a real event that is accepted and acknowledged on December 18, 2017 at 7:53 am
  6. Comparing the use of Chaos Theory within Life Is Strange (2015) and The Butterfly Effect (2004) as an element of science fiction storytelling – Connor swannell Blog on November 24, 2017 at 10:47 am
  7. Meios Digitais – Mapa Conceptual Infinito/Tempo – Meios Digitais on October 29, 2017 at 4:41 pm
  8. The Butterfly Effect Analysis | Blogging Rhetorically on October 26, 2017 at 3:07 pm
  9. The Butterfly Effect | Blogging Rhetorically on October 26, 2017 at 3:05 pm
  10. Give a dog a bad name… | Yawar Baig & Associates on October 20, 2017 at 5:58 am
  11. Which way to go? | Yawar Baig & Associates on October 20, 2017 at 5:53 am
  12. Libra New Moon Astrology October 2017 - DMAstro Blog - Your Daily Astrology Guidance on October 20, 2017 at 4:07 am
  13. WHICH WAY TO GO? | Caravan Daily on October 7, 2017 at 3:31 am
  14. Which Way To Go? - US Morning | US news ,World News, Politics, Economics, Entertainment,Sport,Business & Finance on October 6, 2017 at 2:43 am
  15. Give A Dog A Bad Name….. - US Morning | US news ,World News, Politics, Economics, Entertainment,Sport,Business & Finance on October 5, 2017 at 2:42 pm
  16. the gift of Al-Anon. | Searching and Servitude on September 25, 2017 at 7:49 am
  17. Mental Model: The Butterfly Effect on September 7, 2017 at 2:48 am
  18. Kaos Teorisi Nedir? – Bilim Treni on August 18, 2017 at 4:25 am
  19. The Butterfly Effect | Spirituality Without Borders: Reflections on Spiritual Practice on August 3, 2017 at 4:55 pm
  20. Scozzie Squash | Chaos theory… on July 27, 2017 at 10:07 pm
  21. Enbridge Line 3 Draft Environmental Impact Statement Comments | NDN 4 Environmental Justice on July 15, 2017 at 10:25 pm