View Full Version : Fun with Fractals


Brutus1964
12-29-04, 09:07 AM
Here are some great examples of fractals in nature. It is amazing how many things can fit into a fractal pattern.

For starters what is a fractal?

“ A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature.

A fractal is a rough or fragmented
geometric shape that can be subdivided in parts, each of which
is (at least approximately) a smaller copy of the whole.
Fractals are generally self-similar (bits look like the whole)
and independent of scale (they look similar, no matter how
close you zoom in).

Many mathematical structures are fractals; e.g. Sierpinski
triangle, Koch snowflake, Peano curve, Mandelbrot set
and Lorenz attractor. Fractals also describe many
real-world objects that do not have simple geometric shapes,
such as clouds, mountains, turbulence, and coastlines." ”


3D Model of a fractal. http://astronomy.swin.edu.au/~pbourke/fractals/gasket/gasket12.gif

Animated Giff of a Mandelbrot Set.http://website.lineone.net/~geoff.burton/mandelb.gif

DNA strand is a fractalhttp://ory.ph.biu.ac.il/2000/English/dna/dna3.gif


Bacteria Culture http://www.bath.ac.uk/~ma0cmj/images/Fractal/BacteriaCulture.gif

Leaf factal. Notice all three patterns match the previous one.http://astronomy.swin.edu.au/~pbourke/fractals/selfsimilar/leafscale.jpg



This image can be anything from a plant to a blood vein to a river to a brain neuron, or even a galaxy cluster.

http://astronomy.swin.edu.au/~pbourke/fractals/fracintro/fracintro10.gif

vslayer
12-30-04, 06:58 AM
interesting, the pyramid i imagine would be a fun project to actually make

Brutus1964
12-30-04, 11:02 AM
http://www.fractalcosmology.com/e-fractal2.htm


Very compelling stuff. I will need to get more information on this subject. Since I learned about fractals I have become almost obsessed with them.

What caught my eye the most was his thoeries that if classical science is correct then galaxies could not have had time to make even a single rotation since the big bang.
He makes a good arguement how time and speed is relative to size. I'm not saying what he sais is true but he makes some very good points. I would like someone to read it and give some arguements against it.