Sunday, July 3, 2011

Fractals - Hunting the Hidden Dimension

FRACTALS: HUNTING THE HIDDEN DIMENSION
PBS - Nova



http://video.pbs.org/video/1050932219/
http://topdocumentaryfilms.com/fractals-hunting-the-hidden-dimension/
http://www.pbs.org/wgbh/nova/physics/hunting-hidden-dimension.html  

 EXCERPTS

Fractal Geometry

BENOIT MANDELBROT

Self Similarity

JULIA SET

MANDELBROT SET

Fractal Antennas


"Healthy heartbeat has a distinctive fractal pattern , a signature."


"The bigger you are you actually need less energy ... to stay alive."
This relationship between the mass and energy uses any living thing is governed by strict
mathematical formula: E=M3/4"



 
"The beautiful thing is that  distribution of the sizes of individual trees in the forest
appears to be exactly match the distribution of the sizes of indivual brances within a single tree.
"Relative number of big and small trees, closely matches the relative number of big ans small branches."



"For generations the scientists believed that the wilderness of the nature could not be defined
by mathematics, but fractal geometry is leading to a whole new understanding, revealing the
underline order, governed by simple mathematical rules."


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