Dimension Definition Applied to a Square 488 2003 Key Curriculum Press Chapter 11: Matrix Transformations and Fractal Figures Figure 11-6f Problem: Figure 11-6e shows a square region divided into 25 self-similar squares, each with side length the side length of the original square. Figure 11-6e a. Show that the Hausdorff dimension leads you to conclude that a square is two-dimensional. with sides r = 0.01 times the length of the original sides, show that the Hausdorff dimension would still lead to the conclusion that a square is two-dimensional. Hausdorff dimension really does apply to the square when it is cut into smaller self-similar squares?

Chapter 7 North Africa/Southwest Asia Geographic Features Islam (and related culture)dominate Strong internal divisions within countries (ex: Lebanon and Iraq) Some nations without states (ex: Palestinians, Kurds, Berbers, people of Western Sahara) Some boundaries date from the colonial era = some current problems Name “Middle East” only ‘east’ from Europe “Arab World” what about Turkey, Iran “Muslim World” what about Israel Best name: North Africa/ Southwest Asia Dry World Major deserts… so most live near water Oil More than half of the world’s oil in Middle East th In early 20 century, Western countries bring $$$ and tech to local oil industry