perplexus.info :: Just Math : Rectangle Color Rigor

Rectangle Color Rigor (Posted on 2014-09-23)

Some unit squares on an infinite sheet of squared paper are colored green such that:

Every 2x3 rectangle contains precisely two green squares, and:
Every 3x2 rectangle contains exactly two green squares.

How many green squares are there in a 9x11 rectangle?

*** Based on a Russian Math Olympiad problem.

No Solution Yet Submitted by K Sengupta

Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
A proof	Steve Herman	2014-09-23 13:02:11
a diagram	Charlie	2014-09-23 12:37:28
re: This seems too easy	Steve Herman	2014-09-23 10:58:35
This seems too easy	Jer	2014-09-23 10:10:57

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 (21)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info