Giant’s Causeway (por Gareth Wray Photography)

Donde dejas el sencillo, donde pones la ropa que no esta sucia... ni limpia...

Todo lo demás está en mi portafolio

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Chaos Theory & The Beautiful Geometry of Double Pendulum

Chaos theory is a field of study in mathematics, with applications in several disciplines including meteorology, sociology, physics, engineering,etc…. In a scientific context, the word chaos has a slightly different meaning than it does in its general usage as a state of confusion, lacking any order.Chaos, with reference to chaos theory, refers to an apparent lack of order in a system that nevertheless obeys particular laws or rules.Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions. These systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as follows: “Chaos: When the present determines the future, but the approximate present does not approximately determine the future.” (pg 68).

- Chaotic behavior can be observed in many natural systems, such as weather and climate. This behavior can be studied through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincaré maps.

See more at:Chaos theory on Wikipedia&What is chaos theory? on WhatIs.com.

- Figure 1-2-4-5:
Double Pendulum Experimentby George Ioannidi- Figure 3 (Animated gif):
byChaos and the Double PendulumFouriestseries on Tumblr.- Figure 6:
Double Pendulum with LEDsby Michael G Devereux on Flickr.- Fugure 7-8:
(μ= 2.75,α= 171°) &(Source: Double Pendulum.μ= 1.21,α= 154°) -A double rod pendulum animation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions.

1966 Polish poster for

LA NOTTE(Michelangelo Antonioni, Italy, 1961) [see also]Designer: Andrzej Onegin Dabrowski (1934-1986)

Poster source: KinoArt.net

Happy birthday to Antoni Gaudí, the Spanish architect known for his design for Sagrada Família, who was born on this day in 1852.

(vía 99percentinvisible)