Description


 * Great job [[image:frankenstein.gif]] ****3.5pts **

Description
=Assignment = ** I. In the text you will find when you click the link below, extract the first two paragraphs and please find all the characteristics of fractals and underline them. Also find the adjectives and circle them.Be careful ! ! ! ** [|__http://en.wikipedia.org/wiki/Fractal__]

1. There is a definition of fractals there. Please identify it and identify its components. 2. There is a description there, please identify it and tell me how you found it. What helped you when locating it.

Part I Term to be defined: (red) General class word: (blue) C ** H ** aracteristics: (green) Adjetives: (orange)
 * II: Now write a description of any mathematical word or topic. **

A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size  copy of the whole," a property called  self-similarity. Roots of mathematical interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning " broken " or " fractured. " A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion. A fractal often has the following features:    ==== Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns. However, not all self-similar  objects are fractals—for example, the the real  line (a straight Euclidean  line) is formally self-similar but fails to have other fractal characteristics; for instance, it is  regular <span style="color: black; font-family: 'Times New Roman',Times,serif; font-size: 110%;">enough to be described in <span style="background-color: #fbb07e; color: black; font-family: 'Times New Roman',Times,serif; font-size: 110%;">Euclidean t <span style="color: black; font-family: 'Times New Roman',Times,serif; font-size: 110%;">erms. ==== <span style="font-family: 'Times New Roman',Times,serif; font-size: 132%;"> <span style="font-family: 'Times New Roman',Times,serif; font-size: 121%;"> I found the description because it has series of adjetives that gave the fractal qualities; then ,I assumed that these adjetives give <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">__ gave __ <span style="font-family: 'Times New Roman',Times,serif; font-size: 121%;">origin to a description. <span style="font-family: 'Times New Roman',Times,serif; font-size: 145.2%;"> <span style="font-family: 'Times New Roman',Times,serif; font-size: 110%;"> The phrase that help <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">__ ED __ <span style="font-family: 'Times New Roman',Times,serif; font-size: 110%;"> me was: "A fractal often has the following features" because it guided me to characteristics where locate the description of the geometric shape.
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">__ It has a fine structure at arbitrarily small scales. __
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">__It is too irregular to be easily described in traditional Euclidean geometric language.__ __ More adjectives __
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">__It is self-similar (at least approximately or stochastically).__
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;">__ 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). __
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 120%;"> __<span style="font-family: 'Times New Roman'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> It has a simple and recursive definition.__

Part II The circumference is a succession of points that form a closed curve. It has a internal angle of 180 degree. The center point of the circumference is called "center" and the distance between the center to any point on the edge of the circumference is called "radius" and the twice of the radius is called "diameter". The length of the circumference is :



and the equation of the circumference is:

.

Where π is the number pi (it has a value of 3.1416) and r is the radius. a and b are the coordinate of the center of circumference. On the other hand, X and Y are points that belong to the circumference and satisfies the equation.
 * <span style="color: #02b102; font-family: Georgia,serif;">Super **