# Mathematicians Have Found Crazy New Ways to Cut Pizza Into Equal Slices

By Jamie Condliffe on at

Cutting a pizza can be a stressful experience: are the slices equal? Now, a team of mathematicians has found some new ways to cut pizzas into exotic slices, while still ensuring that the all-important size considerations are met.

The slicing of pizza is an oddly well-researched area of mathematics, principally because it has less to do with pizza and more to do with circular geometry. But that doesn’t stop the team from Liverpool University focusing on the fact that it’s really investigating a way to slice everyone’s favourite bread-based meal.

The work builds on previous research that showed that it was possible to cut a pizza into six curved slices (or ‘shields’), each of which could then be sliced in half to produce 12 identical slices. Like this:

The new approach shows you can use a far more complex pizza slicing technique, that still yields equally sized pieces. It relies on creating initial pieces that resemble the curved shields above, but which this time are instead made up of an odd number of straight sides. Each of those can then be cut up into equal slices. Like this:

You can, according to the researchers, keep going indefinitely, increasing the number of sides of the shield as you go. But go easy, or you might need a very accurate pizza cutter indeed. [arXiv via New Scientist]

Top image adapted from Shutterstock. All other images by Joel Haddley/Stephen Worsley.

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