# Puzzle of the Week for 1 February 1999: Solution

A square divided into three congruent pieces:

A square divided into three similar pieces, two of which are congruent:

There is another solution, which yields rectangular pieces. Are there
others?

A square divided into three similar pieces, none of which are congruent:
(In this dissection, *phi* is the "golden ratio", 0.61803....)

A triangle divided into three congruent pieces:

There are many variations on this solution.

A triangle divided into three similar pieces, two of which are congruent:

Is this solution unique?

A triangle divided into three similar pieces, none of which are congruent:

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