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

Home > Shapes
Table Partition Trial (Posted on 2016-07-24) Difficulty: 3 of 5
Can a 75x75 table (consisting of 75x75 identical square grids) be partitioned into dominoes (1x2 rectangles) and crosses (five square figures consisting of a square and its four neighbors.)

Provide adequate reasoning for your answer.

Source: St. Petersburg City Mathematical Olympiad (Russia)

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: 10/11 of the other pentominoes Comment 3 of 3 |
(In reply to 10/11 of the other pentominoes by Brian Smith)

Nice add-on problem.


The pesky W.  I was getting worried but I got it:

Take a 5x5 square and center a W in it.  You can tile the rest with 10 dominoes.

  Posted by Jer on 2016-07-24 14:14:49
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (22)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information