Reading+2

Pre-Reading
==== Read the title and write a list of ten words you think you might find in the text. ==== ==== What do you know about the link between artwork and mathematics? Mention some examples. ====

Mathematics Display Systems Artists Museum Square Triangles Forms Shapes Creations

==== 2. While reading, please locate the words you listed in the pre-reading and write a list of the ones you found in the text ====  Mathematics Artisits System Creations Triangle

==== 3. Please write what the following referents **(in bold letters)** refer to in the text: ====

 >  === After reading the text, please answer the following questions **in your own words:** ===
 * Mathematicians often rhapsodize about the austere elegance of a well-wrought proof. But math also has a simpler sort of beauty **that**  (refer to the sort of beauty) is perhaps easier to appreciate...
 * That beauty was richly on display at an exhibition of mathematical art at the Joint Mathematics Meeting in San Diego in January, ** where ** (refer to the exhibition) more than 40 artists showed their creations.
 * A mathematical dynamical system is just any rule that determines how a point moves around a plane. Field uses an equation that takes any point on a piece of paper and moves **it (refer to the point) ** to a different spot. Field repeats **this process** (refer to the equation) over and over again—around 5 billion times—and keeps track of how often each pixel-sized spot in the plane gets landed on. The more often a pixel gets hit, the deeper the shade Field colors ** it .**
 * The reason mathematicians are so fascinated by dynamical systems is that very simple equations can produce very complicated behavior. Field has found that **such complex behavior (refer to dynamical system because the dynamic systems create that complex behavior) ** can create some beautiful images. 
 * Robert Bosch, a mathematics professor at Oberlin College in Ohio, took ** his (refer to Robert Bosch) ** inspiration from an old, seemingly trivial problem ** that (refer to the trivial problem) ** hides some deep mathematics. Take a loop of string and throw ** it ( refer to the loop of string) ** down on a piece of papaer. It can form any shape you like as long as the string never touches or crosses **itself** (refer to the string) . A theorem states that the loop will divide the page into two regions, **one inside**  (refer to the page's regions) the loop and ** one outside ** (refer to the page's regions).
 * It is hard to imagine how it could do anything else, and if the loop makes a smoothly curving line, a mathematician would think that is obvious too. But if a line is very, very crinkly, **it** (refer to the line) may not be obvious whether a particular point lies inside or outside the loop. Topologists, the type of mathematicians **who (refer to the Topologists) ** study such things have managed to construct many strange, "pathological" mathematical objects with very surprising properties, so they know from experience that **you**  (refer to me or the reader) shouldn't assume a proof is unnecessary in cases like **this one (refer to this case) **.

1. What is a mathematical dynamical System? A mathematical dynamical system is just any rule that determines how a point moves around a plane 2. Why does the image "Coral Star" get more and more complex? Because in "Coral Star" does some peculiar things as it gets closer to the center (technically, the equation is discontinuous at the origin)

3. Find a definition of the following words that fits in the text, please acknowledge the source: Loop, crinckly, string

Loop: A //loop// is a way of repeating a statement a number of times until some way of ending the //loop// occurs Information taken from: cplus.about.com/od/glossar1/g/**loopdefinition**.htm Crinckly: intransitive verb, transitive verb [|crinkled] -·kled , [|crinkling] -·kling Information taken from: http://www.yourdictionary.com/crinkly
 * 1) to be or cause to be full of wrinkles, twists, or ripples
 * 2) to rustle or crackle, as paper when crushed

String : Information taken from: http://www.answers.com/topic/string
 * 1) A cord usually made of fiber, used for fastening, tying, or lacing.
 * 2) Something configured as a long, thin line: //limp strings of hair.//

4. Where did Robert Bosch take his inspiration from? Describe the source of his inspiration. He took his inspiration from an old, seemingly trivial problem that hides some deep mathematics.as mathematician, maybe that was inspired that to create wonderful things you do not need an extensive knowledge of mathematics

5. What happened with Fathauer's arrangement? Why? The shape that he made with his arragement was approximating a pyramid, with triangular holes punched out. But He only played with geometric shapes and was joining pleasure without following any mathematical equation

6. How did Andrew Pike create the Sierpinski carpet? According to the website: To create a Sierpinski carpet, take a square, divide it in a tic-tac-toe pattern, and take out the middle square. Then draw a tic-tac-toe pattern on each remaining square and knock out the middle squares of those. Continuing forever will create the Sierpinski carpet. 7. Why did he choose that image? According Pike's own words: "We chose the image of Sierpinski because it was self-referential," Pike says. Seems appropriate for a technique using self-similar fractals.