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# Slicing a pizza a whole different way

### #1

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:

*Vidi vici veni.*

### #2

Posted 12 May 2013 - 11:53 PM

### #3

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.

*Vidi vici veni.*

### #4

Posted 13 May 2013 - 03:23 AM Best Answer

### #5

Posted 13 May 2013 - 06:20 AM

Spoiler for

Correct. The star awaits the formula.

*Vidi vici veni.*

### #6

Posted 13 May 2013 - 05:08 PM

Spoiler for

Spoiler for So you are saying that

Correct. The star awaits the formula.

Recursive formula

### #7

Posted 13 May 2013 - 08:06 PM

### #8

Posted 14 May 2013 - 08:57 AM

### #9

Posted 14 May 2013 - 09:54 AM

### #10

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.

*Vidi vici veni.*

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