Puzzle 67: Square Cake Problem
A square cake is to be divided amongst 5 people so that each person has equal portions of cake and icing. How should you cut the cake? Hint: Need to have equal perimeter (icing) and area (cake) for each person.
NOTE: You cannot simply scrape off the icing! You can only cut the cake.
Extension: How about cutting an equilateral triangle cake amongst 5 people? And a regular hexagon cake amongst 5 people?