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

Home > Shapes
Checkerboard Dissection (Posted on 2009-11-23) Difficulty: 2 of 5
A 5x5 square has a checkerboard pattern. I want to divide the square into pieces to form a 4x4 and a 3x3 square. Both smaller squares will retain the checkerboard pattern.

Find a four piece division of the 5x5 square that will accomplish this.

Find a five piece division which accomplishes the task without needing to flip or rotate any of the pieces.

  Submitted by Brian Smith    
No Rating
Solution: (Hide)
My solutions are below. Others can be found in the comments.

Problem 1
+--+--+--+--+--+  +--+--+--+--+  +--+--+--+
|##    ##   |##|  |##    ##   |  |##|   ##|
+  +  +  +  +  +  +  +  +  +  +  +  +--+--+
|   ##    ##|  |  |   ##    ##|  |   ##   |
+--+  +  +  +  +  +--+  +  +  +  +  +  +  +
|##|   ##   |##|  |##|   ##   |  |##    ##|
+  +--+--+--+  |  +  +--+--+--+  +--+--+--+
|   ##   |##   |  |   ##    ##|
+  +  +  +--+--+  +--+--+--+--+
|##    ##|   ##|
+--+--+--+--+--+
Problem 2
+--+--+--+--+--+  +--+--+--+--+  +--+--+--+
|##    ##   |##|  |##    ##   |  |##    ##|
+  +  +  +  +  +  +  +  +  +  +  +  +  +  +
|   ##    ##|  |  |   ##    ##|  |   ##   |
+--+--+--+  +--+  +--+--+--+  +  +  +  +  +
|##    ##|  |##|  |##   |##|  |  |##    ##|
+  +  +  +--+--+  +  +  +  +--+  +--+--+--+
|   ##   |##   |  |   ##|  |##|
+  +  +  +  +  +  +--+--+--+--+
|##    ##|   ##|
+--+--+--+--+--+

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionsDej Mar2009-11-24 01:47:37
SolutionSolutions and Explorationsbrianjn2009-11-23 19:24:31
SolutionHmmmm... -- better solution?Charlie2009-11-23 15:55:00
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (2)
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

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information