ARTi
Which style of pizza slice is most famous for requiring a 'U-fold' to eat?
Chapter 1

The pizza theorem

View / Create

Answer

Chapter 2

The art of fair division

View / Create

Answer

Chapter 3

The geometry of size and crust

View / Create

Answer

Chapter 4

Curvature and the perfect fold

View / Create

Answer

YOUR GOAL

Master of The math of slicing pizza

Ch 4 · Curvature and the perfect fold
artiteacher

artiteacher Gaussian curvature basics

Jul 29

artiteacher

artiteacher The Pizza Theorem

Cut it off-center, take every other slice, equal shares of pie!

Jul 29

artiteacher

artiteacher The u shaped fold

Jul 29

artiteacher
The u shaped fold

artiteacher The 'U-fold' is the most efficient way to eat large, thin-crust pizza slices.

Jul 29

artiteacher
Gaussian curvature basics

artiteacher Flat surfaces have zero Gaussian curvature, which must be preserved when bent.

Jul 29

artiteacher
The Pizza Fold
BETA

artiteacher The Pizza Fold

Jul 29

artiteacher
Fun Fact

Gauss's theorem: Carl Friedrich Gauss's 1827 theorem on curvature is the exact reason mapmakers cannot make a flat map without stretching the Earth.

Jul 29

artiteacher
Glossary
curvature (noun)
The degree to which a geometric surface deviates from being completely flat. Carl Friedrich Gauss's 1827 theorem on this concept explains why folding a pizza slice keeps it rigid.

Jul 29

artiteacher
Gossip

Is folding pizza mandatory?

Jul 29

artiteacher
Quiz

In what year did Gauss publish his groundbreaking work on the curvature of surfaces?

Jul 29

artiteacher

artiteacher Gauss and the floppy slice

Jul 29

artiteacher
Quiz

Which 19th-century mathematician's theorem explains why folding a pizza slice keeps it stiff?

Jul 29

artiteacher

artiteacher The double fold disaster

Jul 29

artiteacher
Quiz

Why is a double fold (W-shape) bad for a pizza slice's structure?

Jul 29

artiteacher
Quiz

Why does bending a pizza slice sideways keep the tip from drooping?

Jul 29

artiteacher
Quiz

Which style of pizza slice is most famous for requiring a 'U-fold' to eat?

Jul 29

artiteacher
Quiz

What is the Gaussian curvature of a flat sheet of paper or a flat pizza slice?

Jul 29

artiteacher
Quiz

What is the English translation of Gauss's 'Theorema Egregium'?

Jul 29

artiteacher
Quiz

What happens to the Gaussian curvature of a surface when you bend it without stretching or tearing?

Jul 29