how to play hanoi ziggurat, How to play the Hanoi Pyramid game?

How to Play the Hanoi Ziggurat Game

Hanoi Ziggurat is a variation of the classic Hanoi Tower game. The rules are similar to the Tower of Hanoi

1. On the right hand: A disk is placed atop the peg where the weight is to be positioned.

2. Remove the weight from the right hand and place it on the left peg. That means the weight is now in front of you, with the base of the tower behind it.

3. Take a small disk from the left peg and slide it down the center of the tower. There must be a space between the bottom two disks.

4. Now take it from the center of the tower and put it on top of the disk closest to the right peg. Thus, the weight is directly below the center disk.

5. Next, take the weight from the right-hand peg and put it again on the left peg so that the base of the tower always remains in the backward direction.

6. Repeat steps 2, 3, 4, and 5 for the remaining disks, transferring them from the left peg to the center peg, and then back to their original position while always putting the weight in the correct position for each move.

7. With every run, stack the disks big to small from bottom to top with a large disk at the bottom and the smallest at the top.

8. Keep playing by using the other hand to move the disks around the tower whilst still keeping the initial orientation of the tower.

The Hanoi Tower, also known as Tower of Hanoi, is a minimum proficiency game conventionally played using a peg or a stack of disks as a peg from one place to another, with the limitation of never placing any large pieces or a larger disc over a smaller one. In general, the game employs three pegs, over which stacks of disks rest. The disks are initially stacked in increasing order of size, smallest at the top and resembling a cone-shaped object, on a peg.

Below is a brief explanation of the game:

1. Object of the game: The mission is to transfer the whole pile of disks from one peg to the other while observing some simple rules.
   a. One disk-at-a-time movement.
   b. A move is made by taking the disk that is on the top of one stack and placing it either onto another stack or an empty peg.
   c. A disk may not be placed on another that is smaller.

2. Set-Up: Stacked largest disk on the first peg (say, Peg A), remaining disks aligned upon Peg A in direct descending order of size above the largest. The other two pegs are not handled.

3. Solution:
This is easy to work on individually, several disks can begin from three and figure to play its manipulation:
   1. Take the first disk Peg A Move on to Peg C.
   2. Move second disks in the same fashion.
   3. Move disk one from Peg C onto Peg B.
   4. Move on Peg A onto Peg C.
   5. Move Peg C from disk one to Peg B.
   6. Move disk two from Peg B to Peg C.
   7. Move Pega A from disk one to C.

So this general solution is spreaded into a recursive element of the algorithm:
Move n disks from Peg A to Peg C, using Peg B as a helper:
1. Move n−1 disks from Peg A to Peg B, using Peg C as a temporary peg.
2. Move the last disk from Peg A to Peg C.
3. Move n−1 disks from Peg B to Peg C, using Peg A as a temporary peg.

4. Hints:
Anticipate several moves ahead.
Alternate movement choices with the help of the smallest disk.
If you are stuck at, attempt to backtrack your moves and see if you can assemble something more.

The Tower of Hanoi is thus an interesting puzzle in that it caters to building logical thinking and problem-solving techniques. Enjoy the game!