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Cutting a Rectangle (Posted on 2007-12-07) Difficulty: 3 of 5
How many ways can a 3x4 rectangle be cut into two polyominoes by cutting along the grid lines? (Not counting reflections and rotations.)
Examples of valid cuts are shown in the first row and invalid cuts are shown in the second row:
+--+--+--+--+   +--+--+--+--+   +--+--+--+--+   +--+--+--+--+
|     |     |   |           |   |  |        |   |  |        |
+  +  +  +  +   +  +--+  +  +   +  +--+--+  +   +  +  +  +  +
|     |     |   |  |  |     |   |        |  |   |  |        |
+--+--+  +  +   +  +--+  +  +   +  +  +--+  +   +  +  +  +  +
|           |   |           |   |     |     |   |  |        |
+--+--+--+--+   +--+--+--+--+   +--+--+--+--+   +--+--+--+--+

+--+--+--+--+   +--+--+--+--+   +--+--+--+--+   +--+--+--+--+
|     |     |   |           |   |  |        |   |     /     |
+  +  +  +  +   +--+--+  +  +   +  +  +--+  +   +  + /+  +  +
|     |     |   |  |  |     |   |        |  |   |   /       |
+--+--+  +  +   +  +--+  +  +   +  +--+--+  +   +  +  +  +  +
|     |     |   |           |   |     |     |   |  |        |
+--+--+--+--+   +--+--+--+--+   +--+--+--+--+   +--+--+--+--+

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution missed some | Comment 2 of 8 |
(In reply to Solution by Dej Mar)

I count 46, but in comparing your list to mine I had 9 that you didn't, so I'm a bit confused:

XOOO
XXX0
0000

XXOO
OXOO
OOOO

XXOO
OXXO
OOOO

OXOO
OXOO
OOOO

OXXO
OOOO
OOOO

OXXO
OXXO
OOOO

OXXO
OOXO
OOOO

OXXX
OXOO
OOOO

OXXX
OOXO
OOOO

  Posted by Jer on 2007-12-07 14:02:25
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