From Chaos Comes Beauty
Chaos (Greek ; in English pronounced /ˈkeɪ.ɒs/) in Greek mythology and cosmology referred to a gap or abyss at the beginning of the world, or more generally the initial, formless state of the universe.
Mathematically, chaos refers to a very specific kind of unpredictability: deterministic behavior that is very sensitive to its initial conditions. In other words, infinitesimal variations in initial conditions for a chaotic dynamic system lead to large variations in behavior.
Chaotic systems consequently appear disordered and random. However, they are actually deterministic systems governed by physical or mathematical laws, and so are completely predictable given perfect knowledge of the initial conditions. In other words, a chaotic system will always exhibit the same behavior when seeded with the same initial conditions - there is no inherent randomness in this regard. However, such perfect knowledge is never attainable in real life; slight errors are intrinsic to any physical measurement. In a chaotic system, these slight errors will give rise to results which differ wildly from the correct result. A commonly used example is weather forecasting, which is only possible up to about a week ahead, despite theoretically being perfectly possible at any level.
I find the secret to the initial spark of life in this theory. The illustration above illustrates this in a stylized way, but the image was created using the principals outlined above.
Thanks to Don Briggs. He is a very talented photographer and a very imaginative and creative artist. It was his image HERE that inspired me to investigate this program and to create artistic images from it. I added the lens flare in Photoshop, and this detail was taken from Don's image as well. Thanks Don. : )
Please take some time to go check out Don's photostream. : ). Tell him I said "Hi!". : )
From Chaos Comes Beauty
Chaos (Greek ; in English pronounced /ˈkeɪ.ɒs/) in Greek mythology and cosmology referred to a gap or abyss at the beginning of the world, or more generally the initial, formless state of the universe.
Mathematically, chaos refers to a very specific kind of unpredictability: deterministic behavior that is very sensitive to its initial conditions. In other words, infinitesimal variations in initial conditions for a chaotic dynamic system lead to large variations in behavior.
Chaotic systems consequently appear disordered and random. However, they are actually deterministic systems governed by physical or mathematical laws, and so are completely predictable given perfect knowledge of the initial conditions. In other words, a chaotic system will always exhibit the same behavior when seeded with the same initial conditions - there is no inherent randomness in this regard. However, such perfect knowledge is never attainable in real life; slight errors are intrinsic to any physical measurement. In a chaotic system, these slight errors will give rise to results which differ wildly from the correct result. A commonly used example is weather forecasting, which is only possible up to about a week ahead, despite theoretically being perfectly possible at any level.
I find the secret to the initial spark of life in this theory. The illustration above illustrates this in a stylized way, but the image was created using the principals outlined above.
Thanks to Don Briggs. He is a very talented photographer and a very imaginative and creative artist. It was his image HERE that inspired me to investigate this program and to create artistic images from it. I added the lens flare in Photoshop, and this detail was taken from Don's image as well. Thanks Don. : )
Please take some time to go check out Don's photostream. : ). Tell him I said "Hi!". : )