Thursday, March 13, 2014
Sicilian Solution III: Pepperoni Protocol
This time it's artisanal.
Sonny and Fredo are finishing a Sicilian pie. Both men are hungry, and there's only one slice left.
Nobody wants any trouble here. By making a single straight-line cut, can you produce two pieces with equal areas and equal ratios of cheese to pepperoni?
(I won't be posting the answer to this one - feel free to post in the comments.)
This puzzle and the last one are part of an interesting genre called bisection problems. I looked around online, but I couldn't find a good collection of problems to link to, just various items scattered here and there. But some classic problems in this area include bisecting a triangle; bisecting the area and perimeter of a shape simultaneously; bisecting two shapes simultaneously, and so on. By googling around, I found this book which looks interesting. If others have any gems in this area, feel free to link in the comments.
Hope you enjoyed the Sicilian Trilogy! Thanks as always for all the comments and emails.