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137
IL BaroMetro
A
Koch snowflake is a fractal geometric
figure generated electronically that
recreates a snowflake. The image on
the side shows how to create such a
figure. A given segment is cut in three parts and
the middle part is substituted with two segments
equal to the one eliminated. The same operation
is repeated for each of the four segments
obtained in this manner. The operation is then
repeated a certain number of times (many).
After many iterations, a fractal geometric figure is
obtained, which, like all fractal designs, displays
fascinating properties. The name “snowflake” is
due to the figure that is obtained by applying the
same procedure to each side of an equilateral
triangle.
Create your own fractals
1.
Use the Internet to find and download programs (free)
that allow you to create your own fractals on your computer.
Fractals and computers:
Kock snowflake
The most famous fracal:
Mandelbrot
The variety of shapes
present in a Mandelbrot
fractal is truly astonishing
and it is even more so if
one considers that the
whole thing is generated
by the simple mathematical
equation: z = z
2
+ c
Fractal Arts: The Art of Infinity
Fractals can be used to create
true works of art in terms of color,
shape, detail and light. Here are
some good examples.