Comparison+&+contrast

Good Job 5pts **COMPARISON AND CONTRAST ** **Assignment ** I. Click the following link and you will find a text called "Mandelbrot and Julia Sets". Please read it carefully and locate comparisons and contrasts among the fractals described there. Explain what made you notice that there were comparisons and or contrasts in the text. []

1) However, these are more complicated fractals then the other fractals that have been mentioned (such as the [|Sierpinski's triangle]).
 * I noticed the comparison for the word ¨MORE¨

2) Thus the basic difference between the Mandelbrot set and Julia set is that in any Mandelbrot set, you are plotting various values of c on a Cartesian plane, whereas for a Julia set, you are plotting various starting values of z, and c is kept constant. 3) Both ** Mandelbrot and Julia sets are types of fractals **
 * I noticed the contrast for the sentence ¨ THE BASIC DIFFERENCE BETWEEN´´


 * I noticed the comparison for: "** Both" **

4) Both these sets require the use of **complex numbers**

5) To compute the basic Mandelbrot (or Julia) set one uses the equation f(z) -- > z 2 + c, where both z and c are complex numbers
 * I noticed the comparison for: " Both"


 * I noticed the comparison for: "** Both" **
 * 6) A Julia set is almost the same thing.**


 * **I noticed the contrast for the word: "almost"**
 * II. In your own words, write the comparison and contrast of the mathematical terms you defined, described and classified. As soon as you have your assignment ready please write your answers in your wiki. **


 * COMPARATION (transformations of plane) **
 * The isometries transformations and isomorphics transformations are transformations of the plane, both are bijectives functions, both have identity element, inverse element and preserve angles, both sends lines to a lines triangle to a triangle that is, preserve the figures. **

**  CONTRAST    **


 * **ISOMETRIES TRANSFORMATIONS** || **ISOMORPHICS TRANSFORMATIONS** ||
 * * **The isometries transformations preserves distances** || * **The isomorphics transformations not preserves distances** ||
 * * **The image of a isometry is congruents to the original figure .** || * **the image of a isomorphic transformation is similarity to the original figure.** ||


 * FOR EXAMPLE:**


 * ** ISOMETRIES TRANSFORMATIONS  ** || **ISOMORPHICS TRANSFORMATIONS** ||
 * **   REFLECTION IN LINE (symmetry)    **


 * REFLECTION IN POINT (symetry)         ** || [[image:http://portales.educared.net/wikiEducared/images/2/23/25Simetrias.gif width="147" height="75" caption="Imagen:25Simetrias.gif" link="http://portales.educared.net/wikiEducared/images/2/23/25Simetrias.gif"]] ||
 * Imagen:25Simetrias.gif ||

|| **HOMOTHETY** ||
 * [[image:http://t1.gstatic.com/images?q=tbn:ANd9GcTPdHpbpAf1aur5ozdQgpcMJkyOWqlNyTZlvJOX_0p0LbWWtuI&t=1&usg=__N_ZtZxlzJw01gNmL3iPTsZowzOU= width="116" height="71" align="left"]]               TRANSLATION                  **
 * ROTATION **