View previous topic :: View next topic |
Author |
Message |
Captain Pete
Joined: 09 Jun 2007 Posts: 55 Location: Oley, PA
|
Posted: Mon Aug 06, 2007 9:33 pm Post subject: Rectangles - please take a look |
|
|
This is my first sweep of the 4/27/2007 VH. Please take a look at C3, rows 6 and 8, and C8, same rows. C3R6, C8R6 and C6R8 each contain 69. C3R8, which seems to complete the rectangle, contains 469. I assumed that C3R8 therefore had to be the 4, but after redoing this puzzle several times, and finally looking at the solution, I discovered I was wrong. But, I don't know why. Can you tell me why this isn't a rectangle?
[code]
+--------------+------------+------------+
| 6 1 2 | 3 8 7 | 9 4 5 |
| 3 4 5 | 2 6 9 | 7 8 1 |
| 8 9 7 | 1 45 45 | 2 3 6 |
+--------------+------------+------------+
| 1259 26 8 | 4 159 3 | 56 7 29 |
| 2459 3 469 | 69 7 56 | 568 1 289 |
| 159 7 69 | 8 159 2 | 4 69 3 |
+--------------+------------+------------+
| 7 5 3 | 69 49 1 | 68 2 489 |
| 249 268 469 | 5 3 468 | 1 69 7 |
| 49 68 1 | 7 2 468 | 3 5 489 |
+--------------+------------+------------+ |
|
Back to top |
|
|
keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
|
Posted: Mon Aug 06, 2007 10:53 pm Post subject: |
|
|
Cap'n:
A UR must be in only two boxes. Your rectangle is in four boxes, and so is not a valid UR.
You can easily prove this for yourself: The point of a UR is that a solution like
is not unique, because you can interchange 1 with 2 and get another solution. The interchange works if the rectangle is within two boxes, it doesn't work if the rectangle is in four.
Best wishes,
Keith |
|
Back to top |
|
|
Captain Pete
Joined: 09 Jun 2007 Posts: 55 Location: Oley, PA
|
Posted: Mon Aug 06, 2007 11:47 pm Post subject: |
|
|
Keith,
I've done a lot of puzzles, and thought I had a handle on UR's, but I don't think I ever realized that. Thanks.
Pete |
|
Back to top |
|
|
|
|
You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot vote in polls in this forum
|
Powered by phpBB © 2001, 2005 phpBB Group
|