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Koch Snowflake & Fractals

Mini-teach MATH 372
by

shawna hyde

on 28 April 2011

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Transcript of Koch Snowflake & Fractals

Von Koch Snowflake 4.It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve). 1.It has a fine structure at arbitrarily small scales. 2.It is too irregular to be easily described in traditional Euclidean geometric language.
3.It is self-similar (at least approximately or stochastically). 4.It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).

5.It has a simple and recursive definition. Hilbert curve Hausdorff dimension What are fractals? Fractals in Nature Fractals in archetecture Fractals in Meteorolgy Fractals in Medicine Fractals in Astronomy Fractals in Robots Fractals are all over the UNIVERSE! Fractals are in Music...
There are fractals in the song you hear!!!! Fractals have been studied for years...here are a few you MAY recognize
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