Skip to content

Commit

Permalink
Create README.md
Browse files Browse the repository at this point in the history
  • Loading branch information
elschilling authored Oct 7, 2018
1 parent 93fd0cb commit e3ccef2
Showing 1 changed file with 12 additions and 0 deletions.
12 changes: 12 additions & 0 deletions math/towers_of_Hanoi/README.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,12 @@
The Tower of Hanoi (also called the Tower of Brahma or Lucas' Tower and sometimes pluralized) is a mathematical game or puzzle. It consists of three rods and a number of disks of different sizes, which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top, thus making a conical shape.

The objective of the puzzle is to move the entire stack to another rod, obeying the following simple rules:

Only one disk can be moved at a time.
Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod.
No disk may be placed on top of a smaller disk.
With 3 disks, the puzzle can be solved in 7 moves. The minimal number of moves required to solve a Tower of Hanoi puzzle is 2n − 1, where n is the number of disks.

An animated solution of the Tower of Hanoi puzzle for T(4, 3):

![](https://upload.wikimedia.org/wikipedia/commons/thumb/6/60/Tower_of_Hanoi_4.gif/300px-Tower_of_Hanoi_4.gif)

0 comments on commit e3ccef2

Please sign in to comment.