Our course work is called the towers of Hanoi

We were asked to have x number of discs and move them to a different place in the least number of moves possible. There are two other places you can move them to. This is what it looks like with 4 discs.

You have to move all of the discs to either B or C, they have to be in the same order. While moving the discs you can not put a bigger disc on top of a smaller one.We are to try with different numbers of discs and see if you can find a rule or a patternNumber of discs and its moves1 Disc1. 1-B2 Discs2. 1-B3. 2-C4. 1-C3 Discs1. 1-B2.

2-C3. 1-C4. 3-B5. 1-A6. 2-B7. 1-B4 Discs1. 1-B2.

2-C3. 1-C4. 3-B5. 1-A6. 2-B7. 1-B8. 4-C9.

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1-C10. 2-A11. 1-A12. 3-C13. 1-B14. 2-C15. 1-C5 Discs1. 1-B2.

2-C3. 1-C4. 3-B5. 1-A6. 2-B7. 1-B8. 4-C9. 1-C10.

2-A11. 1-A12. 3-C13. 1-B14. 2-C15. 1-C16.

5-B17. 1-B18. 2-B19. 3-A20. 1-C21. 2-A22. 1-A23.

4-B24. 1-B25. 2-C26.

1-C27. 3-B28. 1-A29. 2-B30. 1-B6 Discs1. 1-B2. 2-C3. 1-C4.

3-B5. 1-A6. 2-B7. 1-B8.

4-C9. 1-C10. 2-A11. 1-A12. 3-C13. 1-B14. 2-C15.

1-C16. 5-B17. 1-A18.

2-B19. 1-A20. 3-A21. 1-C22. 2-A23. 1-A24.

4-B25. 1-B26. 2-C27.

1-C28. 3-B29. 1-A30. 2-B31. 1-B32.

6-C33. 1-C34. 2-A35. 1-A36. 3-C37. 1-B38.

2-C39. 1-C40. 4-A41.

1-A42. 2-B43. 1-B44. 3-A45. 1-C46. 2-A47. 1-A48.

5-C49. 1-B50. 2-C51. 1-C52. 3-B53. 1-A54. 2-B55. 1-B56.

4-C57. 1-C58. 2-A59. 1-A60. 3-A61.

1-B62. 2-C63. 1-CResults TablePatterns NoticedRuleN2-1PredictionExtra things that were noticedConclusionJustify why it works