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Mandelbrot Sets
Newton Method Fractals
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Important Characteristics of Fractals
1- They are recursive; that is, the process of their creation gets repeated indefinitely.
2- They are self-similar; that is, copies of the entire fractal may be found, in reduced form, within the fractal.
Fractals
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3- Objects in nature often look fractal in structure.
Most objects in nature aren't formed of squares or triangles, but of more complicated geometric figures.
4- There are some really cool concepts connected to fractals.
5- People use them to solve real-world problems.
Engineers have begun designing and constructing fractals in order to solve practical engineering problems.
Origin of the word
- Mandelbrot derived the term "fractal" from the Latin verb frangere, meaning to break or fragment.
- First Known Use: 1975
What's so hot about fractals, anyway?
1- They're New!
Most math you study in school is old knowledge.
2- You can understand them.
Much research in mathematics is currently being done all over the world. There's a lot about fractals that we can understand.
What are fractals ??
Done by: Bassma Al-charfli
Class : 11GB
- A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales.
- The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales.
Fractals in nature
Most common types of Fractals
The Koch snowflake
Mandelbrot Sets
Newton Method Fractals
Julia sets
The Koch snowflake