0041: The Cursed Square

A good friend of mine asked me to work out a dissection of a square into several pieces such that it is possible to arrange the pieces to an equilateral triangle. Because I knew that there is a method to accomplish this task, I tried this challenge. The result is the puzzle that you see here: It is a dissection of a square into 5 different pieces. The objective is to arrange the pieces either to make the shape of a square or the shape of an equilateral triangle. According to the underlying theory it is also possible to make two different parallelograms (each using the five pieces).

If you like, you can have a try on finding a dissection for yourself.

Here you see the five pieces in the arrangement of a square:

The Cursed Square: arrangement of a square

And here the five pieces in the arrangement of an equilateral triangle:

The Cursed Square: arrangement of an equilateral triangle






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© by Markus Götz , zuletzt geändert am 22.02.2010