Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple question about rectangles in the plane

  1. Mar 22, 2010 #1
    Consider any two rectangles in the x-y plane. I have a book that asserts that the union of any two such rectangles is the DISJOINT union of AT MOST SIX rectangles. I've been sketching rectangles and simply can't come up with an example that demands SIX rectangles in the disjoint union. The most I can find is FIVE. Can someone come up with an example of two rectangles whose union is a disjoint union of six rectangles? Thanks!
  2. jcsd
  3. Mar 22, 2010 #2
    Is there no more information? Are the rectangles closed, open, etc?

    What is your 5-rect solution?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Simple question rectangles Date
B Simple question about compactness Feb 22, 2018
B Simple Question About Term(s) re: Fermat Jan 19, 2018
B A rather simple question Dec 13, 2017
B Simple intersection question Oct 1, 2016
Very simple Trig question about adjacent sides Jun 13, 2016