1. This classic puzzle has been in many books,
with different numbers. Our rectangle is inscribed in a quarter circle. Can you
figure out the length of the diagonal of the rectangle? Martin Gardner gives
you one minute to solve it. Return to my Puzzle pages
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© Copyright 2003, Jim Loy
1. This classic puzzle has been in many books,
with different numbers. Our rectangle is inscribed in a quarter circle. Can you
figure out the length of the diagonal of the rectangle? Martin Gardner gives
you one minute to solve it.
2.
Here is another classic puzzle. On the right I have dissected a square into
four identical pieces. And the L-shaped figure has also been dissected into
four identical pieces. Can you dissect a square into five identical pieces (of
some shape)?
3. Can you dissect a square into
two identical squares? On the left is an attempt. I drew one square (purple) of
the correct size, and then tried to arrange the pieces into a second square.
This process seems to go on forever. Of course there is a way to perform this
dissection. What is the easiest way?