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Good Effort 5pts Video 2: Fractals What’s a fractal? If you do not know, please look it up in a dictionary, copy it and acknowledge the source.
 * Before watching **

A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. Fractals are typically self-similar patterns, where self-similar means they are "the same from near as from far". Fractals may be exactly the same at every scale,or, they may be nearly the same at different scales. The definition of fractal goes beyond self-similarity per se to exclude trivial self-similarity and include the idea of a detailed pattern repeating itself.

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Give an example of a fractal The Mandelbrot set is a example of fractal.

Mention five words you think you might find in this video about fractals Geometry Symmetry Sets Infinite Region

Please click on the following link to watch the video. [] 1. Listen carefully to the video to see if you can find the words you wrote in the question above. List them Geometry Symmetry Infinite Region
 * During and after watching **

2. What is a fractal? A fractal is a geometric object whose structure repeats at different scales very similars to the original. 3. What are its properties? Explain them Fractals are objects chaotically irregulars because cannot be represented using traditional geometry. They are very irregulars and complexes. In diferent scales the fractal is exactly equal, or very similar to the original. Its structure repeats constantly.

4. Mention some examples of Euclidean shapes. Are they fractals? Why? The circle, the square and the right line, for example, are Euclidean shapes but they are not fractals because they are not irregulars figures. Note that they can be described using traditional geometry and in some cases, in different scales they look differents.

5. What is self similarity? Its shape is made from the smaller versions of the same figure, in a recursive way.

6. Is the Romanesco broccoli a real fractal? Why? The Romanesco broccoli is aproximately a fractal but is not a real one, because a true mathematical fractal keeps its self similarity in infinite scales. Naturally the broccoli no.

7. How would a mathematician describe symmetry? An object has a symmetry if it stays the same despite a change.

<span style="background-color: #ffffff; color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;">8. What kind of symmetry do fractals have? Please define it. In general fractals have symmetry by magnification: the estructure of the fractal repeats at different scales, but some cases could also be symmetry under rotation or symmetry respect to a right line.

<span style="background-color: #ffffff; color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;">9. How is fractal geometry part of chaos theory and/or viceversa?

The fractal geometry and the chaos theory are, for practical effects, the same thing, because the first consists about irregularity in space and the second about irregularity in time. Mathematicaly both can be treated equal.