Description

Reading and writing descriptions
 * Ok great job Carola... I am sorry for the missunderstanding...** [[image:catplaying.gif]]

**Here we will read and write descriptions** =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: [] __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: []  =Assignment= [|__http://en.wikipedia.org/wiki/Fractal__]
 * 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 ! ! ! **

=Fractal=

From Wikipedia, the free encyclopedia
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," [|[1]] 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]. [|[2]] A fractal often has the following features: [|[3]] 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 [|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. Characteristics: orange color. Adjectives: violet color.  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," [|[1]] 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]. [|[2]] A fractal often has the following features: [|[3]] 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 <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;"> objects are fractals—for example, the [|real] [| line] (a <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">straight [|Euclidean] <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;"> line) is formally <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">self-similar <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;"> but fails to have other fractal characteristics; for instance, it is <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">regular <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;"> enough to be described in <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">Euclidean <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;"> terms.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a fine structure at arbitrarily small scales.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is too irregular to be easily described in traditional [|Euclidean geometric] language.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is [|self-similar] (at least approximately or [|stochastically] ).
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">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] ). [|[4]]
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a simple and [|recursive definition].
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">fine <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> structure at arbitrarily <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">small <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> scales.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is too <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">irregular <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> to be easily described in traditional <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt; text-decoration: none;">[|Euclidean geometric] <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> language.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt; text-decoration: none;">[|self-similar] <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> (at least approximately or <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt; text-decoration: none;">[|stochastically] <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">).
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a [|Hausdorff] [| dimension] which is <span style="color: #b2a1c7; font-family: 'Times New Roman','serif'; font-size: 12pt;">greater <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">than its [|topological] [| dimension] (although this requirement is not met by [|space-filling curves] such as the [|Hilbert] [|curve] ). [|[4]]
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a simple and [|recursive] [|definition].

1. There is a definition of fractals there. Please identify it and identify its components.

<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;">A fractal (term to be defined) is "a rough or fragmented [|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," [|[1]] a property called [|self-similarity]. (characteristics)

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

<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;">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] . <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I found the descriptions reading the thing that express the object.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a fine structure at arbitrarily small scales.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is too irregular to be easily described in traditional [|Euclidean geometric] language.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is [|self-similar] (at least approximately or [|stochastically] ).
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">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] ). [|[4]]
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a simple and [|recursive definition].
 * II: Now write a description of any mathematical word or topic.**

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<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;">The square is a geometrical figure formed by four straight lines of equal length, they are called sides, they form straight angles in the points where join the lines between them (the corners measure 90 degrees).