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

Home > Shapes
Cross cut (Posted on 2006-03-06) Difficulty: 4 of 5
I have a cross in the form of one square with four identical squares surrounding it
Cut it into the fewest number of pieces possible such that, when rearranged the pieces form two smaller crosses of identical size.

No Solution Yet Submitted by Sir Percivale    
Rating: 3.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Assuming you can "similar" crosses to the original | Comment 3 of 18 |

I've gotten it to 9 pieces.

The trick was to realize that to get two similarly shape crosses of half the size (area), then the linear dimension shrinks to sqrt(2)*original.  Then start cutting on the diagonals.

| /|
__|/\|__ |\ / | |/_ \ /\| |\/|

I'll leave the assembly of the pieces as an exercise for the reader

  Posted by Bob Smith on 2006-03-06 14:59:14
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information