**Puzzle
of the Month, March 99**** **

**1)
Permutation problem**

Explain why when you permute the pieces a<>d and b<>c of the 5-piece
puzzle shown in fig. a) you obtain 2 different squares, but if you
do the same thing with the 5-piece puzzle b) nothing changes?

©96-99, Sarcone & Waeber, Lausanne

**2) Square
inclusion**

Cut the green shape below (a parallelogram) into 4 identical pieces in
order to form a regular polygon that encloses the red small square...

©96-99, Sarcone & Waeber, Lausanne

**Solutions**
**1)
Permutation problem**

A diagram is better than a thousand words... Well, look at the diagrams
a) and b) below and you will understand the problem. Actually, in the
fig. b) the puzzle pieces are kites having adjacent sides equal in
pairs so that if you switch these pieces you will obtain the same square
with the hole again and again!

**2)
Square inclusion**

Sure, there are several good solutions... But I like this one!