Tuesday, June 7, 2011

# 1-2 chaos theory, infinity, randomness, fractals, and people in Africa

# 1-2 chaos theory, infinity, randomness, fractals, and people in Africa Tube. Duration : 8.30 Mins.


A fractal is generally "a rough or fragmented geometric shape that can be decomposed into parts, each of which (at least approximately) a reduced copy of everything," a property called self-similarity. The term was coined by Benoit Mandelbrot in 1975 and was coined from the Latin fractus meaning "broken" or inferred "break" A fractal is a mathematical equation iteration, a form of feedback based on recursion A fractal-based experience was often following features: .. • It has a niceStructure at arbitrarily small scales. • It 's too irregular to be easily described in traditional Euclidean geometric language. • There is, of course, is similar (at least approximately or stochastically). • It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not satisfied with the space filling curves, such as the Hilbert curve). • It has a simple and recursive definition. Because they appear similar at all levels of magnification, fractals are oftenconsidered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a certain extent, clouds, mountains, lightning, coastlines and snowflakes. However, not all self-similar fractal objects, such as the real line (a straight Euclidean line) is formally self-similar, but not to other fractal properties, for example, is quite normal to be described in Euclidean terms. Pictures of fractals may be using fractalGeneration of software. Photos ...

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