Video+2

** Good Video 2. Dr Quantum – Flatland**   **I think that the video will be about a geometric world because I find a geometric meaning of flat as a generalization of lines and planes in an Euclidean space with n dimensions on page http://en.wikipedia.org/wiki/Flat.** **2. What do you think "flatland" means?** **I think that flatland is a composition of land, usually used to change the meaning of a word for a world that have the characteristics of this word, and flat whose geometric meaning was said in the last question. Thus I think that flatland means a land with some geometrical characteristics.**    ** Image taken from. [] on Aug 12th, 2009 **
 * I. Before watching the video:**
 * 1. What do you think the video will be about?**
 * II. While watching, please answer the following questions:

1. Who are the main characters in the video? ** **The main characters are Dr. Quantum and the little circle.**  **Dr. Quantum live in a three dimensional world when he can see all things in two dimension too while the little circle world there is not up and not down and there is not a concept of three-dimensional objects because this world have only two dimensions.**  **Dr. Quantum decides to extract the two-dimensional little circle of flatland and to give her more dimensions.** <span style="color: #cc00cc; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;"> <span style="color: #ff66ff; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;">**The other character, the little circle becomes three-dimensional; she takes spherical share and changes of color.** <span style="font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;">
 * 2. What's the difference between the worlds in which the characters live in?**
 * 3. What does Dr. Quantum decide to do?**
 * 4. What does this cause to the other character?**
 * III. After watching the video, please answer these questions.**

**1. How many dimensions do you know? Please mention them and define them.** <span style="color: #92cddc; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;"> <span style="color: #cc00cc; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;">
 * <span style="color: #cc00cc; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;"> <span style="color: #92cddc; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;">I know that physically there are four dimensions long, wide and depth of space and the dimension of time; but mathematically they can be more, they can be infinity. Mathematically exist spaces whit n dimensions as the real numbers for example, R1 are the rational and irrational numbers, R2 are this expressed in two components x and y vectors in the plane, R3 are vectors in the three dimensional space; Rn are vectors in a space whit n dimension. Geometrically there are points, figures without dimension; straight lines, figures in a dimension; polygons, figures in two dimension as a square; polyhedrons, figures with 3 dimensions as a cube; polychoirs, figures with four dimension as a hypercube; we can think in figure with n dimension call polymoles, where n=1,2,3,…..,∞. **
 * Image taken from http://es.wikipedia.org/wiki/Politopo**
 * 2. Would you like to live in a two dimensional world? Why?** <span style="color: #92cddc; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;">
 * <span style="color: #ff66ff; font-family: 'Arial','sans-serif'; font-size: 8.5pt; line-height: 115%;">__It would like me boring__ and unpractical and it could be the chaos because it would make impossible the movement in a direction, for example we would not crouch, jump, fly or build high structures. The life would become narrow because we would have serious overcrowding problems 8-0!!! Nooo!!!. Good I like your work ! ! **