Surely you have found yourself in a situation in which you are sharing a pizza with other people and cutting it asymmetrically; how do you know if you are eating more, less or the same amount as everyone else? To answer this question, we can count on the help of two American mathematicians: Rick Mabry and Paul Deiermann.

The simplest hypothesis is the one that considers the case in which the pizza is not cut through the centre. In this case, whoever gets the part that includes the centre eats more pizza.

The same happens if the pizza is cut into 4 or 6 slices: whoever gets the portion that includes the centre eats more pizza.

Things get more complicated if the pizza is cut into an odd number of slices, as two theorems apply.

If the pizza is cut into 3, 7, 11 or 15 portions, and so on, without cutting through the middle and taking the slices alternatively, whoever gets the part including the centre eats more pizza.

However, if the pizza is cut into 5, 9, 13 or 17 slices, the opposite is true: whoever gets the part that includes the centre eats less pizza.

Condividi con i tuoi amici!
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