All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Zquare (Posted on 2004-10-10) Difficulty: 3 of 5

You have 5 squares joined by their sides in a Z pattern as shown. What is the fewest number of pieces and straight cuts neccesary so the pieces can form a single larger square if you can't use cuts that aren't straight, you can't move the pieces until all cuts have been done, you can't bend, fold or flex the squares, and you can't rotate or flip over the pieces when moving them to form the giant square?

No Solution Yet Submitted by Gamer    
Rating: 3.5000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Bad solution | Comment 2 of 23 |
(In reply to Bad solution by Sam)

Indeed, if cuts are not required to go allt he way through, you could do the same thing in four cuts:

Taking 1 to be the length of the side of one small square

1 - Make a horizontal cut .25 of the way up
2 - Make a horizontal cut another .25 of the way up, thus making two strips, .25 x 2
3 - Make a horizontal cut separating the bottom two squares from the group
4 - Make a vertical cut separating the two bottom squares, starting above them and going down only half way.

This leaves you with two rectangles .5 x 1 and two strips .25 x 2.

Put the first two rectangles together to make a square. Place  this with the other three to make a 2x2 square. Put the two long strips on the sides of this square, making a 2.25 x 2.25 square.

I expect that this won't be the best solution either.

  Posted by Sam on 2004-10-10 10:32:51

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (4)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information