Puzzle of the Week for 1 February 1999

Triplets!

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

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