Fractal Geometry

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Fractal Geometry
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Fractals are geometric figures created using
iteration.
Iteration is the process of repeating a procedure
over and over again as seen below
Start with an equilateral triangle
Next, connect the midpoints of each side of the
triangle to form another triangle.
Now, repeat the same process for each of the
non-shaded triangles, forming more smaller
triangles.
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If you continue to repeat this procedure an
infinite number of times, you will produce a
triangle known as the Sierpinski triangle.
Fractals are infinite structures!
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Fractals also have self-similar shapes.
This means that every time you take a closer look
at the fractal, you will see the same geometric
shape as the original, larger form.
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Watch this clip demonstrating the concept of
self-similarity as it zooms in on a fractal
http//www.ericbigas.com/fractals/
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Fractal geometry deals with objects in nature
that appear irregular but when looked at more
closely demonstrate the same characteristics that
we have looked at.
Snowflakes
Trees
Mountains
Ferns
Queen Annes lace
And many more Lets take a closer look at some
fractals that appear in nature
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Now, check out the following sites for more
information about fractals and their history
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• Websites used for pictures within this website
• http//www.ericbigas.com/fractals/
• http//www.fractalism.com/fractals/geometry.htm
• http//www.crystalinks.com/fractal.html
• http//www.jracademy.com/jtucek/math/picts.html