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Slicing a Pizza Randomly


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15 replies to this topic

#11 gavinksong

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Posted 06 August 2013 - 09:24 AM

 

Hi.

 

Can you please define random cuts? you are stepping into the problem in Bertrand's Paradox.

 

I had random endpoints in mind, but I suppose either of the other methods might make interesting problems too.

 

 

Disclaimer: since this is an original problem, I am not quite sure of my own solution.

 

I just tried solving the problem with the "random midpoint" and "random radius" methods. I think they may be easier (if I'm not wrong).

I encourage all of you to try solving the problem using all three methods outlined in Anza Power's link.

Whoever finds all three solutions wins a free compliment.


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#12 jordge

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Posted 06 August 2013 - 05:31 PM

Whatever the solution is, I'm sure there are more pieces than I can eat.  ;)


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#13 gavinksong

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Posted 06 August 2013 - 06:02 PM

Whatever the solution is, I'm sure there are more pieces than I can eat.  ;)

 

Well, the pizza is always the same size, regardless of how many pieces you cut it into.  :thumbsup:


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#14 James33

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Posted 06 August 2013 - 06:30 PM

I think the answer will be the same as the maximum.

 

Spoiler for


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#15 Anza Power

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Posted 06 August 2013 - 07:23 PM

Spoiler for

Edited by Anza Power, 06 August 2013 - 07:26 PM.

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#16 gavinksong

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Posted 07 August 2013 - 12:10 PM

Spoiler for

 

This is correct.  :thumbsup:

 

One down, two to go. These should be pretty easy after looking at Anza's solution.


Edited by gavinksong, 07 August 2013 - 12:12 PM.

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