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

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