Use this applet to persuade yourself that the area of a four-side pancake of any shape can be bisected with a single cut. [[i][b][size=85]please disregard the minor rounding errors that were not feasible to eliminate.[/size][/b][/i]][br][br]In order to explore possible cuts of the four-sided pancake, use the orange dots to drag the "compass" and orient the cut. [[i][b][size=85]You can vary the shape of the pancake by dragging its vertices.[/size][/b][/i]][br][br]How about the areas of two pancakes of arbitrary shapes on the same plane? On parallel planes? How about [i][b]n[/b][/i] pancakes on parallel planes?[br][br][color=#ff0000][i][b]What questions could / would you put to your students based on this applet?[/b][/i][/color]

The Two-Pancake Problem is an introductory problem in topology that asks whether two pancakes can be bisected with a single cut. The solution generates a theorem, called the Two-Pancake Theorem, that the area of any two pancakes having an arbitrary two-dimensional shape can both be perfectly bisected with one straight line (one cut of a knife). It is the two-dimensional version of the three-dimensional Ham Sandwich Theorem.