Comparison+and+contrast

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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 height="130" caption="Right Pyramid"]] ||
 * Right Pyramid ||  ||   || [[image:http://www.mathsisfun.com/geometry/images/oblique-pyramid.gif 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 height="130" caption="Regular Pyramid"]] ||
 * Regular Pyramid ||  ||   || [[image:http://www.mathsisfun.com/geometry/images/irregular-pyramid.png height="129" caption="Irregular Pyramid"]] ||
 * Irregular Pyramid ||  ||
 * ~ Regular Pyramid ||~ Irregular Pyramid ||
 * || [[image:http://www.mathsisfun.com/geometry/images/square.png height="102" caption="Square"]] ||
 * Square ||  ||   || [[image:http://www.mathsisfun.com/geometry/images/irregular-square.gif height="106" caption="Irregular Ploygon"]] ||
 * Irregular Ploygon ||  ||
 * ~ Base is Regular ||~ Base is Irregular ||

**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. 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. []

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I. In the text, there was comparison and contrast between Mandelbrot and Julia Sets. They both are fractals and require the use of complex numbers. You have to introduce a number z to the function given, f(z) -- > z 2 + c, and another number will be the result. This process in the numbers machine is called iteration. It can go to the limit of infinity or to 0. The Mandelbrot, is the graph of all the constants c, that do not go to infinity when iterated, with a starting value 0 for z. The Julia set is almost the same, but it refers to the number z you introduce in the function, when the graph of all the complex numbers it can take does not go to infinity. That is the main difference between Mandelbrot and Julia sets.
 * ANSWERS:**

II. The equal sign and the triangle are both used in math and geometry. The equal sign is a mathematical symbol used to show equality between two or more exact identities. It is used to show things that are the same. A triangle, is just a geometric shape. It is a three-sides figure that can be equilateral, isosceles, or scalene. You can say, an equilateral triangle is equal to another equilateral triangle, or a scalene triangle is equal to another scalene, but with the same width and height. Notice, you can't use this equal sign if you are mentioning different triangles with different angles or sides.