The pizza theorem
The art of fair division
The geometry of size and crust
Curvature and the perfect fold
Why does the 'I cut, you choose' method incentivize the cutter to make equal slices?
artiteacher Slice each pizza into equal shares to master the hidden math of fair sharing.
artiteacher Fair-division algorithms help share items when people value different parts of them differently.
What is the name of the division method where one person cuts and the other chooses?
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.
In 1995, Brams and Taylor created an algorithm to achieve what type of division?
Ancient fair division: The 'I cut, you choose' rule is mentioned in Hesiod's Theogony from the 8th century BCE.
Which ancient Greek author mentioned the 'I cut, you choose' concept in his writings?
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.