# Puzzle of the Week for 23 November 1998: Hints

The solution requires that each of the five pieces must have:

1. the same amount of filling
2. the same amount of crust

To satisfy the first condition, each piece must have 1/5 of the area of the pie, viewed from the top. For example, the Snoids might cut the pie into five equal rectangles, as at the left. This wouldn't solve the puzzle, however, since the two pieces on the left and right have more of the crust than the three in the middle.

Like most pumpkin pies, the Snoids' pie has crust on the bottom and around the outside. Any division that satisfies the first condition results in equal amounts of bottom crust. The trick, then, is to divide the outside crust equally: to satisfy the second condition, each piece must include an equal amount of the perimeter of the pie. For a round pie, this is easy; but how do the Snoids divide their square pie? Here are two suggestions that may help:

• Keep in mind that the puzzle doesn't say that the pieces all have to be the same shape!
• Also remember that sometimes puzzles can be easier than they may seem at first. Try out a really simple solution first, and see if it might be correct.