Reading+2

**Reading Log 2 - Math on Display. Visualizations of mathematics create remarkable artwork **
===**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. ====

===**During Reading and After Reading ** === ====1. Please click on the following link to read the article. ==== ====[] ==== ====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 ==== ====<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 12pt;">3. Please write what the following referents **(in bold letters)** refer to in the text: ====


 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; margin: 0.5em 0px 0px; padding: 0px 0px 0px 3em;"> Mathematicians often rhapsodize about the austere elegance of a well-wrought proof. But math also has a simpler sort of beauty **that** is perhaps easier to appreciate ...
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 12pt; margin: 0.5em 0px 0px; padding: 0px 0px 0px 3em;">That beauty was richly on display at an exhibition of mathematical art at the Joint Mathematics Meeting in San Diego in January, ** where ** more than 40 artists showed their creations.
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 12pt; margin: 0.5em 0px 0px; padding: 0px 0px 0px 3em;">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** to a different spot. Field repeats **this process** 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 .**
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 12pt; margin: 0.5em 0px 0px; padding: 0px 0px 0px 3em;">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** can create some beautiful images.
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 12pt; margin: 0.5em 0px 0px; padding: 0px 0px 0px 3em;">Robert Bosch, a mathematics professor at Oberlin College in Ohio, took ** his ** inspiration from an old, seemingly trivial problem ** that ** hides some deep mathematics. Take a loop of string and throw ** it **down on a piece of papaer. It can form any shape you like as long as the string never touches or crosses **itself** . A theorem states that the loop will divide the page into two regions, **one inside** the loop and ** one outside **.
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 12pt; margin: 0.5em 0px 0px; padding: 0px 0px 0px 3em;">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** may not be obvious whether a particular point lies inside or outside the loop. Topologists, the type of mathematicians **who** study such things have managed to construct many strange, "pathological" mathematical objects with very surprising properties, so they know from experience that **you** shouldn't assume a proof is unnecessary in cases like **this one**.

===<span style="font-size: 1.1em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 5px;">**<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">After reading the text, please answer the following questions **in your own words: ===

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;">1. What is a mathematical dynamical System? <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> 2. Why does the image "Coral Star" get more and more complex? <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> 3. Find a definition of the following words that fits in the text, please acknowledge the source: <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> Loop, crinckly, string <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> 4. Where did Robert Bosch take his inspiration from? Describe the source of his inspiration. <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> 5. What happened with Fathauer's arrangement? Why? <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> 6. How did Andrew Pike create the Sierpinski carpet? <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 14px;"> 7. Why did he choose that image?