Comparison+&+Contrast



=
The Cycle attractor is more complex than the simple attraction or repulsion type Point attractor. Its analogy in consciousness is the thinking function. Like objective thinking the Cycle attractor recognizes both sides and tends to include a third; for example, the synthesis coming out of the thesis and anti-thesis. ====== Taken from: []

Right vs Oblique Pyramid
This tells you where the top (apex) of the pyramid is. If the apex is directly above the center of the base, then it is a Right Pyramid, otherwise it is an Oblique Pyramid.
 * || [[image:http://www.mathsisfun.com/geometry/images/right-pyramid.gif width="181" height="130" caption="Right Pyramid"]] ||
 * Right Pyramid ||  ||   || [[image:http://www.mathsisfun.com/geometry/images/oblique-pyramid.gif width="181" height="132" caption="Oblique Pyramid"]] ||
 * Oblique Pyramid ||  ||
 * ~ Right Pyramid ||~ Oblique Pyramid ||

Regular vs Irregular Pyramid
This tells us about the **shape of the base**. If the base is a regular polygon, then it is a Regular Pyramid, otherwise it is an Irregular Pyramid. Taken from: []
 * || [[image:http://www.mathsisfun.com/geometry/images/square-pyramid.png width="181" height="130" caption="Regular Pyramid"]] ||
 * Regular Pyramid ||  ||   || [[image:http://www.mathsisfun.com/geometry/images/irregular-pyramid.png width="129" height="129" caption="Irregular Pyramid"]] ||
 * Irregular Pyramid ||  ||
 * ~ Regular Pyramid ||~ Irregular Pyramid ||
 * || [[image:http://www.mathsisfun.com/geometry/images/square.png width="102" height="102" caption="Square"]] ||
 * Square ||  ||   || [[image:http://www.mathsisfun.com/geometry/images/irregular-square.gif width="141" height="106" caption="Irregular Ploygon"]] ||
 * Irregular Ploygon ||  ||
 * ~ Base is Regular ||~ Base is Irregular ||

Assignment
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. As soon as you have your assignment ready please write your answers in your wiki. []

For further information please visit: []


 * Comparisons:**

__Paragraph 1__. Line 1: "Both Mandelbrot and Julia sets are types of fractals."

Line 2: "Both these sets require the use of complex numbers "

__Paragraph2__. Line 1:"To compute the basic Mandelbrot(or Julia) set one uses the equation f(z)-->z 2+c"

Line 1: "both z and c are complex numbers."

Line 4: "iteration and it is how the Mandelbrot and Julia sets are computed."


 * Contrast:**

__Paragraph 1__. Line 1: "these are more complicated fractals then the other fractals that have been mentioned (such as the [|Sierpinski's triangle])"

__Paragraph 4__: (Contrast between what happens when the distance is greater than two and when it’s never greater than two) "if the distance, on the Cartesian plane, between the origin and a point resulting from the iteration of some initial value is greater than 2 then the behavior of that initial value is that it will go to infinity. If, however, after numerous iterations (possibly hundreds, thousands or more) the distance between that origin and the point is never greater than two, it is said that this point is bounded."

__Paragraph 9__: Lines 2, 3: "the points that never result in a point further than 2 units from the origin are part of the set. However, the other points, which are not part of the set are the ones that result in the beautiful colors." Line 5, 6: "if a point were to move a distance further than two units from the origin after only 10 iterations, it could be coloured blue. Likewise, if it moved further than two units from the origin after 20 iterations is could be coloured red."

I realized that a comparison consist i__n show similiraties__ between two or more things, in this case, between Mandelbrot and Julia sets, so I read carefully looking for phrases that show me facts in which this __to__ fractals coincide, at the same time, I had in mind that a contrast would show me only the differences between two things, so I looked searching for phrases that give me information about the __diffrences__ between Mandelbrot and Julia sets.