Video1

Video 3: Fractals
What’s a fractal? If you do not know, please look it up in a dictionary, copy it and acknowledge the source. --> A fractal is a semigeometric object which basic, fragmented or irregular structure, it repeats itself to different scales. The term was proposed by the mathematician Benoît Mandelbrot in 1975 and drift of the Latin fractus, that it means broken or fractured. Many natural structures are of fractal type. [] Give an example of a fractal --> To find the first examples of fractals we must mend ourselves at the end of the 19th century: in 1872 there appeared the function of Weierstrass, whose grafo nowadays we would consider fractal, as example of continuous but not distinguishable performance in no point.  Mention five words you think you might find in this video about fractals --> Fractal --> Object --> Scale --> Structure --> Repetition
 * Before watching **

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 --> Fractal, scale, structure, repetition.  2. What is a fractal? --> A fractal is a closed figure which outline is formed by constant points arranged irregularly.  3. What are its properties? Explain them --> The properties are the following: 1. As the scale of a fractal increases, this one continues being formed by constant points arranged irregularly, does not matter how extended the figure is always it will be formed by irregular outlines. 2. The small features resemble the larger ones: this property is explained using as example the Romanesco broccoli since from a simple sight up to a praised sight, it is formed always by cones, which to simple sight see big cones formed by medium cones but with a praised sight there continue being seen big cones formed by medium cones that evidently in a simple sight are tiny cones.
 * During and after watching **

4. Mention some examples of Euclidean shapes. Are they fractals? Why? --> The Euclidean shapes are for example the circles, straight line, squares, spheres, etc. They are not fractals, therefore, they are non-fractals, because they are figures formed by constant points and regular outlines that take the different forms that were mentioned in the examples; in addition, however much these figures are extended, always constant points and regular outlines will be seen, up to managing to see a straight line which continues being formed by constant points. <span style="color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;"> 5. What is self similarity? <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;">--> A self similarity is a kind of symmetry <span style="color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;"> 6. Is the Romanesco broccoli a real fractal? Why? <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;">--> The Romanesco broccoli is one of the best examples of a fractal in real life since it fulfills both properties that they characterize to a fractal and in addition they use it in the video to explain the second property. <span style="color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;"> 7. How would a mathematician describe symmetry? <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;">--> A mathematician describe symmetry as something that in spite of suffering a change, is kept equal or to remain equal and to take the sphere as a better example, since if it is rotated, it continues supporting his form of sphere. <span style="color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;"> 8. What kind of symmetry do fractals have? Please define it. <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;">--> The fractals do not possess a symmetry with regard to a mirror or with regard to the rotation, but they have a symmetry as for which inside the same fractal, the big things are alike to the small ones, that is to say, both sizes it supports a symmetry on a large scale. Therefore, the fractals have as type of symmetry, the scale symmetry, which is defined as something that in spite of being praised, or in spite of modifying his size, continues being kept equal. <span style="color: #04b404; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;"> 9. How is fractal geometry part of chaos theory and/or viceversa? <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 110%;">--> The fractal geometry is a part of chaos theory and viceversa, when, in spite of being independent developments, both speak about irregularities. Nevertheless, inside the irregularities they differ, since the fractals speak about irregularities in the space and the chaos theory speaks about irregularities in the time. On the other hand, is observed that the appearance of chaos theory and the fractals, it owes to an innate need of the human being, of bosses think in things that they seem not to be related.