BETA
Chapter 1
The pizza theorem
Chapter 2
The art of fair division
Chapter 3
The geometry of size and crust
Chapter 4
Curvature and the perfect fold
YOUR GOAL
Master of The math of slicing pizza
Ch 1 · The pizza theorem
artiteacher Slice the pizza at different angles to master the hidden math of fair sharing.
artiteacher The Pizza Theorem
Any way you slice it, any way you slice it, it's still a perfect share!
artiteacher The Pizza Theorem applies perfectly to both the total area and the crust length.
artiteacher You need at least eight slices for off-center fair sharing to work perfectly.
Fun Fact
Pizza Theorem origin: In 1967, mathematician L. J. Upton proposed the Pizza Theorem as a puzzle in a mathematics magazine.
Glossary
pizza theorem (noun)
A geometric theorem stating that partitioning a disk with equal-angled cuts through any interior point yields alternating sectors of equal total area. L.J. Upton first proposed this geometric challenge in 1967 within the Mathematics Magazine.
A geometric theorem stating that partitioning a disk with equal-angled cuts through any interior point yields alternating sectors of equal total area. L.J. Upton first proposed this geometric challenge in 1967 within the Mathematics Magazine.
Quiz
What is the minimum number of slices needed for the Pizza Theorem to guarantee equal shares?
Quiz
If you make 12 slices through an off-center point at equal angles, how many slices does each of the two people get?
Quiz
If a pizza is sliced through an off-center point at equal angles, how do two people share it equally?
Quiz
In what year was the first formal mathematical proof of the Pizza Theorem published?
Quiz
What did mathematicians Mabry and Deiermann prove about the Pizza Theorem in 1994?