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Slicing a pizza a whole different way


Best Answer TimeSpaceLightForce, 13 May 2013 - 03:23 AM

Spoiler for

          

Go to the full post


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12 replies to this topic

#1 bonanova

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Posted 12 May 2013 - 09:35 AM

You want to divide a pizza into a number of slices, but you're tired of going through the center all the time. So you adopt the strategy of marking points on the circumference of the pie and making slices along all the chords that they pairwise create. At last week's pizza party you attempted to make 32 pizza chunks, from a very large pie, by this method. How many points did you have to mark off on the pizza's circumference to give you and your 15 guests at least 2 chunks each?

 

Bonus: The coveted bonanova gold star will be awarded if you give the formula for calculating pieces from points.

 

This gives you an idea:

pizza.gif


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#2 CantidadAsesinar

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Posted 12 May 2013 - 11:53 PM

Spoiler for Solution & Formula


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#3 bonanova

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Posted 13 May 2013 - 12:20 AM

Spoiler for Solution & Formula


Hi cantidad and welcome to the den.
Close but that is not the answer.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#4 TimeSpaceLightForce

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Posted 13 May 2013 - 03:23 AM   Best Answer

Spoiler for

          


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#5 bonanova

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Posted 13 May 2013 - 06:20 AM

Spoiler for

          

 

Spoiler for So you are saying that

 

Correct. The star awaits the formula. ;)


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- Bertrand Russell

#6 bushindo

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Posted 13 May 2013 - 05:08 PM

 



Spoiler for

          

 

Spoiler for So you are saying that

 

Correct. The star awaits the formula. ;)

 

 

Recursive formula

Spoiler for


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#7 Rob_Gandy

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Posted 13 May 2013 - 08:06 PM

Spoiler for I have an idea but it makes an ugly formula...

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#8 witzar

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Posted 14 May 2013 - 08:57 AM

Spoiler for if nobody wants the gold star


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#9 witzar

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Posted 14 May 2013 - 09:54 AM

Spoiler for gold star - second attempt


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#10 bonanova

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Posted 14 May 2013 - 10:53 AM



Spoiler for I have an idea but it makes an ugly formula...

 

Close, but the number that follows 16 is 31.


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