The Board Puzzle

greenpawn34
Posers and Puzzles 13 Oct '10 23:04
1. 13 Oct '10 23:04
Hi

I did this for you guys.

2. AThousandYoung
14 Oct '10 18:34
The extra square when you slide it the one way is the missing square when you slide it the other way.

The missing square is split up among a bunch of other squares which are not true squares in the cut and paste board
3. 14 Oct '10 21:242 edits
Originally posted by AThousandYoung
The extra square when you slide it the one way is the missing square when you slide it the other way.

[hidden]The missing square is split up among a bunch of other squares which are not true squares in the cut and paste board[/hidden]
Hi 1,000 Young.

No need to hide.

"The missing square is split up among a bunch of other squares which
are not true squares in the cut and paste board."

What 'bunch of other squares.' there is only one square missing.

I think I have done some magic and I'm very clever.
4. 14 Oct '10 21:52
Asking about the exact number of squares in the beginning and at the end is a red herring.

Assume that a square on the board is one unit in length, and one in width. Then, the original board has 8*8 units = 64 units squared.

After the cut, the board can be seen as being two 7*8 right triangles, and one 1*8 strip of squares.

(1/2)(7*8) units +(1/2)(7*8) units + (1)(8) units = 64 units squared.

It's just a peculiarity of the slope that our chainsaw artist chose that the board appears to have 'lost' squares. It appears to have lost an intact square, but all the area is still there, and the Universe is still safe.
5. AThousandYoung
15 Oct '10 01:46
Originally posted by greenpawn34
Hi 1,000 Young.

No need to hide.

"The missing square is split up among a bunch of other squares which
are not true squares in the cut and paste board."

What 'bunch of other squares.' there is only one square missing.

I think I have done some magic and I'm very clever.
It's not missing. Slide the board the other way to get the missing square - you'll have 65!
6. 15 Oct '10 10:00
Originally posted by greenpawn34
Hi

I did this for you guys.

If you weigh the two configurations, then you'll see the weight is the same.
No square is missing.
7. 15 Oct '10 12:39
Ok you have all solved it.....

.....by a series of very lucky guesses.