Reading+2

Reading Log 2 - Math on Display. Visualizations of mathematics create remarkable artwork**
 * Good Job
 * Pre-Reading**
 * Read the title and write a list of ten words you think you might find in the text.**

Ø **Math** Ø **symmetry** Ø **space** Ø **line** Ø **form** Ø **image** Ø **equation** Ø **Da Vince** Ø **screen** Ø **art**

__The__ mathematics are very useful in art, because it can create many different forms and these forms are used in art to create geometric sculptures. Furthermore, __the__ symmetry is very important in the paintings because it creates a sense of harmony.
 * What do you know about the link between artwork and mathematics? Mention some examples.**

**During Reading and After Reading** [|**http://www.sciencenews.org/view/generic/id/9383/title/Math_on_Display**] Ø **Math** Ø **symmetry** Ø **line** Ø **image** Ø **equation** Ø **art** Ø **form**
 * 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**


 * 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:** 1. What is a mathematical dynamical System?
 * Mathematicians often rhapsodize about the austere elegance of a well-wrought proof. But math also has a simpler sort of beauty ** that ** ** (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 ** ** (the exhibition at the joint mathematics meeting in San Diego) ** 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 ** (the point) to a different spot. Field repeats ** this process **** (the mathematical dynamical system) ** 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 pixel). **
 * The reason mathematicians are so fascinated by dynamical systems is that very simple equations can produce very complicated behavior. Field has found that **s uch complex behavior ** ** (the dynamical system) ** can create some beautiful images.
 * Robert Bosch, a mathematics professor at Oberlin College in Ohio, took ** his ****(****Robert Bosch)** inspiration from an old, seemingly trivial problem ** that ** **(problem)** hides some deep mathematics. Take a loop of string and throw ** it ** (the loop) down on a piece of papaer. It can form any shape you like as long as the string never touches or crosses ** itself ****(the string)** . A theorem states that the loop will divide the page into two regions, ** one inside ****(the first region)** the loop and ** one outside ****(the second region)****.**
 * 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 ** **(the line)** may not be obvious whether a particular point lies inside or outside the loop. Topologists, the type of mathematicians ** who ****(matematicians)** study such things have managed to construct many strange, "pathological" mathematical objects with very surprising properties, so they know from experience that ** you ** **(the readers)** shouldn't assume a proof is unnecessary in cases like ** this one ** **(if a line is clinkly)****.**
 * 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 ** **(the line)** may not be obvious whether a particular point lies inside or outside the loop. Topologists, the type of mathematicians ** who ****(matematicians)** study such things have managed to construct many strange, "pathological" mathematical objects with very surprising properties, so they know from experience that ** you ** **(the readers)** shouldn't assume a proof is unnecessary in cases like ** this one ** **(if a line is clinkly)****.**

A mathematical dynamical System is a system that __describing__ how it moves an object with respect to a point.

2. Why does the image "Coral Star" get more and more complex?

This is because there are simple equations that become complex equations, in this case when __it approaches the origin occasionally happen__ that a discontinuity pruduce a beautiful effect on this image.

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

Loop,

A loop is a way of repeating a [|statement] a number of times until some way of ending the loop occurs. It might be run for a preset number of times, typically in a **for** loop, repeated as long as an [|expression] is true (a **while** loop) or repeated until an expression becomes false in a **do while** loop.

[]

Crinkly vb 1. to form or cause to form wrinkles, twists, or folds 2. to make or cause to make a rustling noise n 1. a wrinkle, twist, or fold 2. a rustling noise

[]

String A sequence of characters in a computer memory or other storage device. Also known as alphabetic string. []

4. Where did Robert Bosch take his inspiration from? Describe the source of his inspiration. Robert Bosch, took his inspiration from an old, seemingly trivial problem that hides some deep mathematics.

5. What happened with Fathauer's arrangement? Why? He observed that the arrangement was forming seemed a Pyramid and this occurred because he was playing around with various ways of arranging squares in repeating patterns.

6. How did Andrew Pike create the Sierpinski carpet?

he took a picture divided it in a tic-tac-toe pattern, later took out the middle square.Then draw a tic-tac-toe pattern on Remaining Each square and knock out the middle squares of Thos.

7. Why did he choose that image? because it was self-referential