A different pizza problem

Stump your fellow simians.
Cecil
Posts: 131
Joined: Thu Jun 10, 2004 9:14 pm
Location: Vancouver

Post by Cecil »

Well, it would seem that the nth cut can always be arranged to cross each of the previous n-1 cuts, creating n extra pieces of pizza.

So with n cuts you could make 1 + n(n+1)/2 pieces.

btw, what's the difference between and chicago and a new york cut? :?
Skeptoid
Posts: 1296
Joined: Fri Jun 04, 2004 5:28 am
Location: Wisconsin

Post by Skeptoid »

Cecil wrote:btw, what's the difference between and chicago and a new york cut? :?
Though not universal, pizzas in New York are cut into slices like a pie is cut. In Chicago, the pizzas are cut into small squares. However, the Chicago-style deep dish pan pizza is cut like a pie.
ceptimus
Posts: 1462
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

Post by ceptimus »

I suppose we are limiting this in the following ways:

* To two dimensions. Otherwise three cuts can result in eight pieces.
* Only straight planar cuts. Otherwise one cut can result in any number of pieces.
* No rearranging of the pieces between cuts. Even with the above two rules accepted, rearranging allows the number of pieces to be doubled with each cut.