I didn't want a "Home alone" Party, so I invited
Jake Lai
round to share some pizza. We ordered a pepperoni pizza but when it arrived, we noticed somebody had messed up the cutting.
see picture above
Is it still possible for us to have the same amount of pizza?
‣ The pizza has been cut into 8 slices with equal angles of
‣
Part 1
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Yes, its possible from any point.
This is fittingly known as the Pizza theorem .
To get an equal amount of pizza we take alternative slices.
This works when we have 4 n slices for n ≥ 2 .
Here is a proof without words for this case:
Click here for an interactive proof without words.