Description

= = =Great Job ! ! = = = =Description= A description is a writing form used to create an impression of an object, person, place, event, process, mechanism, etc. You can describe people, objects, animals, plants, or you can also describe how an event happened, how a mechanism operates, etcetera. In a description you find many **adjectives ** which are the words that will characterize any thing you want to describe. Example 1: In an **equilateral triangle**, all sides are of equal length. An equilateral triangle is also an equiangular polygon, i.e. all its internal angles are equal—namely, 60°; it is a regular polygon. This description was taken from the following web page: http://en.wikipedia.org/wiki/Triangle Example 2: A polygon that is not convex is called **concave**.[|[2]] A concave polygon will always have an interior angle with a measure that is greater than 180 degrees. It is possible to cut a concave polygon into a set of convex polygons This description was taken from the following web page: http://en.wikipedia.org/wiki/Concave_polygon  =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** //(#1206e5)// .Be careful ! ! !

__http://en.wikipedia.org/wiki/Fractal__

A **fractal** is generally 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,"[|[1]] a property called [|self-similarity]. The term was coined by [|Benoît Mandelbrot] in 1975 and was derived from the [|Latin] //[|fractus]// meaning "broken" or "fractured." A fractal often has the following features:[|[2]] __ 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, and snow flakes. 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.
 * 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].

**<span style="COLOR: rgb(231,54,159)"><span style="COLOR: rgb(17,68,136)"> Good ! ! [[image:kittens.jpg]] **
1. **There is a definition of fractals there. Please identify it and identify its components.**

A **fractal** __(term) is generally__ a rough or fragmented __<span style="COLOR: rgb(4,1,1)">[|geometric shape] (general class word) that__ can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole __(characteristics).

2. **There is a description there, please identify it and tell me how you found it. What helped you when locating it.**

When we read this:__ __We identify a description, because of the use of the verbs "to be" and "to have".__
 * __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].__

<span style="COLOR: rgb(231,54,159)"><span style="COLOR: rgb(17,68,136)"> __Super Job... [[image:beaver.jpg]]__
__II: **Now write a description of any mathematical word or topic**.

1.- It is a closed plane figure bounded by three line segments, and also it receives the name of "//trígono//".__ IF it is contained in a spherical surface, it is named "//triangle spherically//".
 * The Triangle.**

2.- It possesses three interior angles, which sum is equal to 180°.

3.- It possesses three sides. A point where two of the sides of a triangle meet is called a vertex of the triangle. The plural of "vertex" is "vertices".

4.- It can be classified according to the length of their sides and according to the size of their angles.