Solving the Stacking Squares mind teaser:
There are 5 Squares, each one smaller than the next. The object is to move one square
at a time and re-stack them on another pin. But there are 3 Simple Rules to follow.
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
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.
Download Solution in .pdf file
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: Doogies @ doogiestoyshop .
com (Remove all space).