536 Puzzles and Curious Problems

(Elliott) #1

  1. THE SQUARE TABLE lOP


A man had three pieces of beautiful
wood, measuring 12 inches, 15 inches,
and 16 inches square respectively. He
wanted to cut these into the fewest
pieces possible that would fit together
and form a small square table top
25 inches by 25 inches. How was he
to do it? I have found several easy
solutions in six pieces, very pretty,
but have failed to do it in five pieces.
Perhaps the latter is not possible. I


Dissection Puzzles 113

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know it will interest my readers to
examine the question.


  1. THE SQUARES OF VENEER


A man has two square pieces of valuable veneer, each measuring 25 inches
by 25 inches. One piece he cut, in the manner shown in our illustration, in
four parts that will form two squares, one 20 inches by 20 inches and the other
15 inches by 15 inches. Simply join C to A and D to B. How is he to cut the
other square into four pieces that will form again two other squares with sides
in exact inches, but not 20 and 15 as before?


10 5

C^10

A
10

(^10 1 5)

.III
D I S
10

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