**Rule #1**. Move only one square at a time.

**Rule #2.** Cannot put a larger square on top of smaller square.

**Rule #3.** Cannot move a stack of squares at once to another pin.
See Rule #1.

The key to solving this puzzle is in its name "Stacking Squares" which is what you will be doing as you complete it.

**The table below shows how to solve it in 31 moves:
**
The smallest Square is A. Next bigger is B, C, D and E is the largest square
of all.

First, place the board so all Pins are parallel to you, Pin 1 is on the left. Second, place all the squares (stack them up) starting with the largest E, then D, C, B, A on Pin1 . (After you get familiar with solving it you can place the squares on any Pin.)

In the table below:
Each Row (across) is one move. So for Move 1 you will place Square A, the smallest
on Pin 3 which should be the right most Pin. Move 2 is placing Square B on Pin 2
(the middle pin). Move 3 is placing Square A on top of Square B on the middle Pin
and so forth. So after 3 moves Square A and B should be on Pin 2, with B on the
bottom. Notes, below show periodically where the Squares should be after that move.

Good Luck!

Or... download the solution in a .pdf file.

Move | Pin 1 | Pin 2 | Pin 3 | Notes | See Pic of this move |

Start | ABCDE | Start | |||

1 | A | Move 1 | |||

2 | B | Move 2 | |||

3 | A | Move 3 | |||

4 | C | Move 4 | |||

5 | A | Move 5 | |||

6 | B | Move 6 | |||

7 | A | Squares ABC should be on Pin 3 | Move 7 | ||

8 | D | Move 8 | |||

9 | A | Move 9 | |||

10 | B | Move 10 | |||

11 | A | Move 11 | |||

12 | C | Move 12 | |||

13 | A | Move 13 | |||

14 | B | Move 14 | |||

15 | A | Move 15 | |||

16 | E | Squares ABCD should be Pin 2 and Square E on Pin 3 | Move 16 | ||

17 | A | Move 17 | |||

18 | B | Move 18 | |||

19 | A | Move 19 | |||

20 | C | Move 20 | |||

21 | A | Move 21 | |||

22 | B | Move 22 | |||

23 | A | Move 23 | |||

24 | D | Squares ABC on Pin 1, Squares DE on Pin 3 | Move 24 | ||

25 | A | Move 25 | |||

26 | B | Move 26 | |||

27 | A | Move 27 | |||

28 | C | Move 28 | |||

29 | A | Move 29 | |||

30 | B | Move 30 | |||

31 | A | Congratulations! all Squares should be on Pin 3 | Move 31 |

Interesting Note:

You will notice a repeating pattern above. Square A is moved every other move. Square B is moved every 4 moves. C is moved every 8 moves and although D is moved on the 8 move its not moved again for 16 moves. With 3 pegs you can only move a square to one of the other two pegs which is why the moves are divisible by 2. And why each larger square is only moved half the number of moves of it's next smaller square. 16, 8, 4, 2.

Also Square A, if first moved to the far right peg first, moves to its left and then left again and then back to far right and repeats. Square B moves in the opposite direction and repeats. C moves the same direction as A and D as B, But according to their Double. Since the puzzle is solved in 31 moves, the other Squares don't repeat as often. D is moved only twice and E moved only once.

So if Square A moves 16 times and B moves 8 times and C 4, D 2, and E once then the number of moves is 16 + 8 + 4 + 2 + 1 = 31.

Also which ever Pin you start Square A on is where the rest of the squares will end up when you are finished. You can therefore solve the puzzle just by following the pattern of each Square. Square A has to move every other move. Square B every 4 moves and so forth.

Enjoy solving the Puzzle, Doogie. email me: Doogie @ doogiestoyshop . com (Please copy and paste this email without spaces).