Description




 *  Great Job ** **3,5pts **
 * Assignation - Description**
 * 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 ! ! !**

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?


 * II.** Now write a description of any mathematical word or topic.
 * Exercise I**
 * Part 1:**


 * Legend:**


 * a) ** Blue: Term to be defined


 * b)** Red: General class word


 * c)** Yellow: Characteristics
 * d) ** Green: Adjectives

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. **Great ** A fractal often has the following features: (Characteristics of Fractals are exposed at the next numeration): some adjectives you did not see 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 <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%;">coloration patterns. However, not all self-similar objects are fractals—for example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms.
 * __It has a <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%;">fine structure at arbitrarily <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%;">small scales.__
 * __It is too irregular to be <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%;">easily described in traditional __ __ Euclidean geometric __ __language.__
 * __It is__ __ self-similar __ __(at least approximately or__ __ stochastically ____).__
 * __It has a__ __ Hausdorff dimension __ __which is <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%;">greater than its__ __ topological dimension __ __(although this requirement is not met by__ __ space-filling curves __ __such as the__ __ Hilbert curve ____).__
 * __It has a <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%;">simple and__ __ <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: lime none repeat scroll 0% 0%; color: black;">recursive definition ____.__


 * Part 2: **

The description that I was identified is located next of the definition (exactly in the characteristics), and in the numeration of features: **<span style="color: #ff6600; font-family: Georgia,serif;">Good **

// “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”. //
 * //It has a fine structure at arbitrarily small scales.//
 * //It is too irregular to be easily described in traditional Euclidean geometric language.//
 * //It is self-similar (at least approximately or stochastically ).//
 * //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 ).//
 * //It has a simple and recursive definition .//

**//(Extracted from Wikipedia: [] )//**

The things that could help me to indentify the descriptions were to read __o__ **<span style="color: #ff6600; font-family: Georgia,serif;">? ** many numberings characteristics of a row. For example, the numeration feature of Fractals. **<span style="color: #ff6600; font-family: Georgia,serif;">good ** ** Exercise II ** · The square is a symmetric shape. · Four equal sides and four perpendicular angles. · The sum of all angles for a total of 360 º degrees, · All the diagonals in a square are equal, · If we draw a horizontal or vertical line to divide the square into two equal parts, the line drew is parallel to the other sides.
 * <span style="color: #ff6600; font-family: Georgia,serif;">A ** Square is a geometric shape, that ha__ve__ **<span style="color: #ff6600; font-family: Georgia,serif;">has ** four equal sides and is considered a regular quadrilateral. Squares are geometric **<span style="color: #ff6600; font-family: Georgia,serif;">al ** shapes that are characterized by having, in the Euclidean space, the following features:
 * <span style="color: #ff6600; font-family: Georgia,serif;">super **