Part 1 How to Create Braids

Name______Period______Date______Cornrow Braids Tutorial http://csdt.rpi.edu/african/CORNROW_CURVES/cornrow_tutorial.html Part 1 "How to Create Braids" Lesson 1: Introduction 1. What are the four geometric concepts for creating cornrows?

2. What are the name of the shapes that make up each cornrow? What do they look like?

3. What is a simulated braid?

4. How many plaits are in the simulated braid?

Lesson 2: Iteration 1. What is an iteration? (in your own words)

2. How would the simulation 3. How would the simulation 4. How would the simulation braid look with 3 iterations? braid look with 10 braid look with 35 (Draw a diagram below) How iterations? (Draw a diagram iterations? (Draw a diagram many plaits are there? below) How many plaits are below) How many plaits do there? you think there are?

Lesson 3: Dilation 1. What is a dilation? Give an example.

2. If the original plait is 1 inch wide and the first iteration plait is 50% of the size of the original, how wide is the first iteration plait? How wide would the second iteration be?

3. How wide is the first iteration plait if the scaling ratio is 25%?

6. Set up a set of cornrows 9. Set up a set of cornrows 12. Set up a set of cornrows with 5 iterations with with 5 iterations with 50% with 5 iterations with 100% scaling ratio. Sketch scaling ratio. Sketch the 200% scaling ratio. Sketch the cornrow. cornrow. the cornrow. 7. 10. 8. 11. 13. 14. 15. 16. 17. What are the similarities and differences of the three cornrows above. 18. 19. 20. Lesson 4: Rotation Name______Period______Date______

1. How many degrees is the original plait rotated? 21. 2. The first iteration is rotates 15 and the second 30. How many degrees is the plait rotated in the third iteration? 22. 3. Try to match the simulated cornrow to the image cornrow. Rotation angle (degrees)______Number of iterations____ 23. 24. Lesson 5: Translations 1. In this simulation, what is translation? 25. 2. If the original plait is 1 inch wide. and the first iteration translate 75% of the width of the original. How far away is the plait in the first iteration? 26. 28. 30. 3. Draw the simulation when 4. Draw the simulation when 5. Draw the simulation when the translated distance is the translated distance is the translated distance is 100% and the number of 50% and the number of 25% and the number of iterations is 13. iterations is 13. iterations is 13. 27. 29. 31. 32. 33. 34. 35. 36. Lesson 6: Vectors (Press SHOW to see the vectors) 1. What does a vector show? 37. 38. 2. What does the vectors show in the cornrow simulation? 39. 40. 41. Part 2 "How to Position Braids" 42. Lesson 1: Introduction 1. How will the braids move differently from the translations, rotations, and dilations? 43. 44. 45. Lesson 2: Starting Point 2. To move the braid to the upper right hand corner, what would the x and y coordinates be for this new starting position? 46. 47. 48. Lesson 3: Starting Angle 3. What degree should you enter so that the simulated cornrow matches the picture? 49. 50. 4. How is this different from the iterative (or previous) rotation? 51. 52. 53. Lesson 4: Start Dilation 5. What starting dilation should you enter to match the target image? 54. Name______Period______Date______

55. 6. How is different from the iterative (or previous) dilation? 56. 57. Lesson 5: Starting Reflection 7. What is a starting reflection in this simulation? 58.