Tower Of Hanoi

Ian Gantes
Ms Analissa
Math 10

Tower of Hanoi
In thisproject we are trying to find the exact date and time for the worlds end, we are basing this theory acordingto a legend, about god and his towers. The  legend says that in the time of creation, god placed 64 plates in this towers, which are mentioned as the center of the world, and when this plates whichare first arranged from big to small, go to another rod in the same order and not placing any big plate on a small one and moving only one plate at one time.

Calculations:
The main formula we areusing here is:
   2X-1  x=Number of plates
How does this work?
Well you take the number of plates which you are using lets say 3 then you do the multiplication 2x2x2=8-1 equals to 7 seven it’s theminimum moves you have to do to get the 3 plates from one side to the other and you do this calculation whith the 64 plates and you get the amount of seconds… so each move it’s a second.
Here is thelist of the last 10 movements with their results:
Plates | Minimum Moves Needed to solve |
50 | 1 125 899 906 842 623 |
51 | 2 251 799 813 685 247 |
52 | 4 503 599 627 370 495 |
53 | 9 007199 254 740 991 |
54 | 18 014 398 509 481 983 |
55 | 36 028 797 018 963 967 |
56 | 72 057 594 037 927 935 |
57 | 144 115 188 075 855 871 |
58 | 288 230 376 151 711 743 |
59 | 576 460 752303 423 487 |
60 | 1 152 921 504 606 846 975 |
61 | 2 305 843 009 213 693 951 |
62 | 4 611 686 018 427 387 903 |
63 | 9 223 372 036 854 775 807 |
64 | 18 446 744 073 709 551 615 |

So now wehave to calculate how much time is 18 446 744 073 709 551 615 seconds. So we know 60 seconds its 1 minute 60 minutes one hour 24 hour 1 day and 365 days is one year so we use this formula:
18 446744 073 709 551 615 ÷ [60 (seconds) x 60 (minutes) x 24 (hours) x 365 (days)] = 584942417355,07203243911719939117 => almost 585 Billion years
So now we know we are not going to die nearly the date...