DJB opened this issue on Mar 29, 2006 ยท 38 posts
soulofharmony posted Thu, 30 March 2006 at 11:28 AM
fractals.. when the golden rule meets fractals...the fibonacci.. principle of spiralling of phyllotaxy.. example (the study of the arrangement of leaves on a stem). Starting from any leaf on a plant, a spiral is traced in an anti- clockwise direction from leaf to leaf. Upon reaching a leaf directly above the first, the number of leaves and turns around the stem within the spiral are constant, irrespective of the starting point.
Although the number of intervening leaves and turns around the stem varies for differing species, certain figures re-occur. It transpired that the whorls on a pine-cone, the petals on a sunflower, the pattern of snail shells and the genealogy of the male bee all follow a sequence of Fibonacci numbers.
then you have the chaos fractals.... study of poincare knows as the father of fractal chaos / mandelbrot..
also involves quantum mechanics....
here a link on http://www.fortunecity.com/emachines/e11/86/padovan.html#
there is a maths formula to fractals..
this link is the simplest to understand fractals...
http://www.fortunecity.com/emachines/e11/86/natsums.html#Fibonacci
but fractals are quite simple .. in nature every where common formula... hope this is welcomed... and of help ?
Message edited on: 03/30/2006 11:30
Message edited on: 03/30/2006 11:36
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