Simple question about rectangles in the plane

  • #1

Main Question or Discussion Point

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!
 

Answers and Replies

  • #2
160
0
Is there no more information? Are the rectangles closed, open, etc?

What is your 5-rect solution?
 

Related Threads for: Simple question about rectangles in the plane

  • Last Post
Replies
1
Views
1K
Replies
3
Views
3K
Replies
14
Views
7K
Replies
5
Views
6K
  • Last Post
Replies
5
Views
11K
  • Last Post
Replies
1
Views
5K
  • Last Post
Replies
4
Views
890
Replies
3
Views
2K
Top