It is easy to divide a 2-gon into 3 congruent line segments. It is also easy to divide a triangle into 4 smaller triangles that are congruent. One of Martin Gardner's favorite problems is to show that one can divide a square (regular 4-gon) into five congruent and connected pieces.
The natural question is then: can one subdivide a regular pentagon into six congruent and preferably connected pieces?