BETA
Chapter 1
The pizza theorem
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Chapter 2
The art of fair division
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Chapter 3
The geometry of size and crust
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Chapter 4
Curvature and the perfect fold
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YOUR GOAL
Master of The math of slicing pizza
Ch 2 · The art of fair division
artiteacher Slice each pizza into equal shares to master the hidden math of fair sharing.
artiteacher The Pizza Theorem
Four cuts off-center, alternate the slices, it's mathematically fair!
artiteacher The moving knife algorithm ensures fair sharing among three or more people.
artiteacher Fair-division algorithms help share items when people value different parts of them differently.
Fun Fact
Ancient fair division: The 'I cut, you choose' rule is mentioned in Hesiod's Theogony from the 8th century BCE.
Glossary
fair division (noun)
The division of a resource among multiple parties so that each receives an equitable share. In 1967, mathematician L. J. Upton proposed a pizza puzzle that elegantly demonstrated this concept.
The division of a resource among multiple parties so that each receives an equitable share. In 1967, mathematician L. J. Upton proposed a pizza puzzle that elegantly demonstrated this concept.
Quiz
Which ancient Greek author mentioned the 'I cut, you choose' concept in his writings?
Quiz
In 1995, Brams and Taylor created an algorithm to achieve what type of division?
Quiz
What is the name of the division method where one person cuts and the other chooses?
Quiz
Why does the 'I cut, you choose' method incentivize the cutter to make equal slices?