perplexus.info :: Shapes : Tiling Trial II

Tiling Trial II (Posted on 2014-08-06)

A 20x21 rectangular floor needs to be tiled using square tiles that are uncuttable, non-overlapping and having integer sides.

What is the smallest total number of tiles to make this possible?

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.)

First attempt (spoiler?)

| Comment 1 of 4

How about 9 tiles?

1 14X14 on the North West corner

3 7x7 on the East side,

and the rest filled using 2 6X6 and 3 2X2

There might be something better, but I am going back to work

Posted by Steve Herman on 2014-08-06 14:21:09

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 (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info