gobar_banner.gif (5252 bytes)

 


home
Editorial
Letters

Cow Pats

Cover Feature

gt_poster.gif
Ask me
Links

gt_archive2.gif


line.gif (57 bytes)


environment.gif


line.gif (57 bytes)


FRACTALS IN ART

 

"Nothing is more consonant with Nature, than that she puts into operation in the smallest detail that which she intends as a whole" — Goethe

Forging Snowflakes

Ever seen a snowflake through a microscope?
Ever wondered how they were made ?
Here we tell you how.
So you can make your own snowflake with
a little help from mathematical 'forgery'.

p79_1.jpg (1528 bytes)
1.Start with a large equilateral triangle.
p79_2.jpg (2174 bytes)
2.Make a star.                      

p79_3.jpg (2862 bytes)
3.Divide one side of the
triangle into three parts and

And again.

One of the simplest fractal shapes generated by iteration is the so-called Koch curve or 'snowflake curve'. With the help of computers, simple geometric iterations can be applied thousands of times at different scales to produce so-called 'fractal forgeries' – computer-generated models of plants, trees, mountains, costlines, etc, which bear an astonishing resemblance to shapes found in nature.
remove the middle section.

4. Replace it with two lines the same length as the section you removed.

5. Do this to all three sides of the triangle.

This is what is called a
KOCH SNOWFLAKE
created by a fractal
mathematician
bigarrow.jpg (1088 bytes)

p79_4.jpg (2514 bytes)
And again

p79_5.jpg (2527 bytes)
And again
Finally it turns into a snowflake.

Ibcsnow.jpg (29263 bytes)

NEXT=>

email.gif