Saturday, March 3, 2012

What is the maximum number of pieces you could cut a pizza into with 5 straight cuts? You do not have to cut through the centre of the pizza.

Hint - make one cut, then two and so on and use inductive reasoning to make a conjecture.|||Assuming you can cut the pizza in only two dimensions and not three, the correct answer is 16.
With n cuts of the pizza, you can make a maximum of

(n^2 + n + 2)/2 pieces ,

since after the nth cut you can make up to n new pieces, making sure every new cut slices through every previous cut and you never cut through the intersection point of two previous cuts. (In other words, after 1 cut you can make 1 new piece. After 2 cuts, 2 new pieces. 3 cuts- 3 new pieces, etc.)

This is known mathematically as the pancake cutting (or circle cutting) problem and is described here:
http://mathworld.wolfram.com/CircleDivis鈥?/a>|||I came up with 11, but I was never really good at math.
Thanks for trying to make mt brain work :)|||1 cut = 2 pieces
2 cuts = 4 pieces
3 cuts = 6 pieces
4 cuts = 8 pieces
5 cuts = 10 pieces
My doctor told me. I could only have two pieces of pizza a
month, so, when I order it. I tell them to just cut it in "half. <}:-})|||12|||16 although obviously they are not all the same size|||I got about 16. The key is to overlap the cuts as many times as possible. And, no, the pieces will not be uniform size or shape.|||12.|||12 unless you are allowed to fold the pizza and cut it|||i think it is 10 you can just multiply the number of cuts by 2 because you get 2 pieces after 1 cut|||12? One straight down the middle, two running parallel to the first, and two running acroos the fist three. Is that it? Do you get me? I drew a circle on a piece of paper and then drew five lines, but I did cut down the middle. Oops! (hehehe!) Oh, well!|||10 i think|||10 maximum pieces.|||32..i think|||16?|||10 in a round pizza, 12 on a square pizza|||the answer is 12

the common answer may be 10 due to cutting in half, but smaller & misformed pieces allow for 12.|||Well, that comes to 72 degrees per slice.|||8?|||I think its 10.|||10-20|||24........so what are you going to tell us or what??? 12:39 am friday..........11-17-07 and you didnt give the answer, good job idiot:)|||12|||i got 16 pieces.|||12|||Why not just buy a pizza and get a pizza cutter?

So easy to find out that way!|||on paper its 10|||10|||10|||12 3 cuts straight one way and two cuts perpendicular making squares

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