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: