perplexus.info :: Shapes : Cut Chocolate Carefully!

Cut Chocolate Carefully! (Posted on 2005-03-05)

I had a 6x7 chocolate bar. My kid stole a 2x3 piece from a corner. Can I divide the rest in two identical pieces, just cutting along the lines? In three identical pieces? In four?

+---+---+---+---+
|   |   |   |   |
+---+---+---+---+
|   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+

See The Solution Submitted by Old Original Oskar!

Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Complete Solution

| Comment 6 of 9 |

2 Pieces:

Divide into two congruent pieces of 18 sections each.

+---+---+---+---+
|     |     |     |     |
+---+---+---+---+
|     |     |     |     |
+---+---+---+---+           +---+---+---+
|     |     |     |     |         |     |     |     |
+---+---+---+---+     +---+---+---+---+
|     |     |    |           |     |     |     |     |
+---+---+---+     +---+---+---+---+---+
|     |     |          |    |     |     |     |     |
+---+---+     +---+---+---+---+---+---+
| |            |    |     |     |     |     |     |
+---+           +---+---+---+---+---+---+

3 Pieces:

Simple, divide into 3 equal pieces of 12 sections each

+---+---+---+---+
|     |     |     |     |
+---+---+---+---+
|     |     |     |     |
+---+---+---+---+     +---+---+---+
|     |     |     |     |     |     |     |     |
+---+---+---+---+     +---+---+---+
                               |     |     |     |
+---+---+---+---+     +---+---+---+
|     |     |     |     |     |     |     |     |
+---+---+---+---+     +---+---+---+
|    |     |     |     |     |     |     |     |
+---+---+---+---+     +---+---+---+
|     |     |     |     |
+---+---+---+---+

4 Pieces:

4 Congruent pieces of 9 sections each.

+---+---+---+---+
|     |     |     |     |
+---+---+---+---+
|     |     |     |     |
+---+---+---+---+
|     |
+---+    +---+---+---+---+
            |     |     |     |   |
            +---+---+---+---+
            |     |     |     |    |
+---+    +---+---+---+---+     +---+---+
|     |                       |     |      |     |   |
+---+---+---+---+    +---+     +---+---+
|     |     |     |     |    |     |     |
+---+---+---+---+                 +---+---+
|     |     |     |     |                  |     |     |
+---+---+---+---+          +---+---+---+
                                      |     |     |     |
                                      +---+---+---+

Posted by Zhifeng on 2005-03-05 19:39:02

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