1. Copyright © 2005 Pearson Education, Inc. Slide 11-1

2. Copyright © 2005 Pearson Education, Inc. Chapter 11

3. Copyright © 2005 Pearson Education, Inc. Slide 11-3 Music Scales and Mathematics 11-A

4. Copyright © 2005 Pearson Education, Inc. Slide 11-4 Perspective and Vanishing Point 11-B

5. Copyright © 2005 Pearson Education, Inc. Slide 11-5 Regular Polygon Tessellations 11-B

6. Copyright © 2005 Pearson Education, Inc. Slide 11-6 A Curious Golden Ratio Limit Nested Square Rootsof 1Value 1 + 1 1.41421356237... 11-C

7. Copyright © 2005 Pearson Education, Inc. Slide 11-7 A Curious Golden Ratio Limit Nested Square Rootsof 1Value 1 + 1 1.41421356237... 1 + 1+ 1 1.55377397403... 11-C

8. Copyright © 2005 Pearson Education, Inc. Slide 11-8 A Curious Golden Ratio Limit 11-C

9. Copyright © 2005 Pearson Education, Inc. Slide 11-9 A Curious Golden Ratio Limit 11-C

10. Copyright © 2005 Pearson Education, Inc. Slide 11-10 A Curious Golden Ratio Limit 11-C

11. Copyright © 2005 Pearson Education, Inc. Slide 11-11 A Curious Golden Ratio Limit Nested Square Rootsof 1Value 1 + 1 1.41421356237... 1 + 1+ 1 1.55377397403... 1 + 1+ 1+ 1 1.59805318248... 1 + 1+ 1+ 1+ 1 1.61184775413... 1 + 1+ 1+ 1+ 1+ 1 1.61612120651... 1 + 1+ 1+ 1+ 1+ 1+... 1+ 5 2 =  As you continue to nest more roots, you will get infinitely closer to the golden ratio. 11-C

12. Copyright © 2005 Pearson Education, Inc. Slide 11-12 Parthenon Proportions & Golden Ratio 11-C