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

Home > Shapes
Splitting Heirs (Posted on 2005-06-15) Difficulty: 3 of 5
There was once a Duke who had an awkwardly shaped duchy, laid out like this:
       XX
 XX  XXXX
 XXXXXXX
XXXXXXXXX
XXXXXXXXX
 XX  XXXXX
 XX XXXXXX
    XXXXXX
     XXXX
     XX
Each X represents a 1000-hectare square.

The Duke was out of favor with the King, and when it came time for the Duke to pass down his land, the King hatched a plan to break up the Duke’s holdings (and thus the political power of his heirs). The King proclaimed that the Duke must split all of the land among his heirs such that:

1) The land is split into at least two pieces, and
2) Every piece has the same shape and size, allowing for rotations and/or reflections of the shape.

What are the largest pieces the Duke can break his duchy into, in accordance with the King’s edict?

No Solution Yet Submitted by Bryan    
Rating: 3.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
no subs | Comment 8 of 10 |
i agree with sassy
  Posted by punchmancan on 2005-07-29 09:27:03
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
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

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information