Description

= = = Good job. 4pts = =Assignment= [|http://en.wikipedia.org/wiki/Fractal] 1. There is a definition of fractals there. Please identify it and identify its components.
 * 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 ! ! ! **

Some more adjectives **Definition:** A fractal (term to be defined)  is "a rough or  f ragmented __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) __," [1]  a property called self-similarity . Roots <span style="font-family: Arial,Helvetica,sans-serif;">of <span style="font-family: Arial,Helvetica,sans-serif;">mathematical <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"><span style="font-family: Arial,Helvetica,sans-serif;"> interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by <span style="font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">Benoît Mandelbrot <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"> in 1975 and was __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">derived from the Latin __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"> __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">fractus __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"> __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">meaning "<span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">broken " or "<span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">fractured  __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"> __(characteristics)__ <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">." A <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">mathematical fractal is __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">based on an equation __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"> __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">that undergoes iteration, a form offeedback __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;"> __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">based on recursion (characteristics) __<span style="color: #0070c0; font-family: 'Arial','sans-serif'; font-size: 11pt; line-height: 115%;">.[2]

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

A fractal often <span style="font-family: 'Arial','sans-serif';"> has the following features:[3] ·<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 <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia 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: fuchsia none repeat scroll 0% 0%;">small scales.<span style="font-family: 'Arial','sans-serif';"> ·<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;"> <span style="font-family: 'Arial','sans-serif';">It is too <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">irregular to be easily described in <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">traditional Euclidean geometric language. ·<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;"> <span style="font-family: 'Arial','sans-serif';">It is <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">self-similar (at least approximately or stochastically). ·<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;"> <span style="font-family: 'Arial','sans-serif';">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: fuchsia none repeat scroll 0% 0%;">greater than its <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">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'; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> <span style="font-family: 'Arial','sans-serif';">It has a <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia 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: fuchsia none repeat scroll 0% 0%;">recursive definition.
 * <span style="color: black; font-family: 'Arial','sans-serif';">Description: **<span style="color: black; font-family: 'Arial','sans-serif';">

<span style="font-family: 'Arial','sans-serif';"> Because they appear similar at all levels of magnification, __fractals are often considered to be infinitely <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">complex (in <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">informal terms). <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">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 <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">self-similar objects are fractals—for example, the__ __<span style="background-color: #9afe9a; font-family: 'Arial','sans-serif';">real <span style="font-family: 'Arial','sans-serif';">line __<span style="font-family: 'Arial','sans-serif';"> __<span style="font-family: 'Arial','sans-serif';">(a straight __<span style="font-family: 'Arial','sans-serif';"> __<span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">Euclidean __ __<span style="font-family: 'Arial','sans-serif';">line) is formally <span style="background-color: #9afe9a; font-family: 'Arial','sans-serif';">self-similar <span style="font-family: 'Arial','sans-serif';"> but fails to have other fractal characteristics; for instance, it is <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">regular enough to be described in <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">Euclidean terms. (Description) __<span style="font-family: 'Arial','sans-serif';">

<span style="font-family: 'Arial','sans-serif';">
 * <span style="font-family: 'Arial','sans-serif';">Note: **<span style="font-family: 'Arial','sans-serif';"> The adjectives are identified with a <span style="-moz-background-clip: -moz-initial; -moz-background-inline-policy: -moz-initial; -moz-background-origin: -moz-initial; background: fuchsia none repeat scroll 0% 0%;">highlighter pink.


 * I **** I: Now write a description of any mathematical word or topic. **

__The polygon are geometric figures that is closed, this has three or more sides.__ ** You need to be careful... The polygon is singular, are is plural, this is singular... you need to mainatain one form of the noun... **The most __pknown__ types of polygons are regular polygons, irregular, which are flat, simple, convex, equilateral, equiangular and straight sides.