# Puzzle of the Week for 1 February 1999

*Triplets!*

- Divide a square into three congruent pieces. (Pieces are
*congruent* if they have the same shape and size.)
- Divide a square into three similar pieces of exactly two sizes.
(Pieces are
*similar* if they have the same shape.)
- Divide a square into three similar pieces of different sizes. (This is
difficult.)
- Divide an equilateral triangle into three congruent pieces.
- Divide an equilateral triangle into three similar pieces of exactly
two sizes. (This is very difficult!)
- Divide an equilateral triangle into three similar pieces of different
sizes.

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