📜 Theorem, law or theory

Ham sandwich theorem

Teorema del sándwich de jamón

Date
1938 (Steinhaus/Banach) / 1942 (Stone-Tukey) · confidence high
Place
Lwów (Lviv), Lviv Oblast, Ukraine
Credited to
Hugo Steinhaus and Stefan Banach
Field
Knowledge & symbols

What was discovered

Measure-theory result stating that, given n measurable objects in n-dimensional Euclidean space, a single hyperplane always exists that bisects each of them exactly; posed by Hugo Steinhaus and proved by Stefan Banach.

What it led to

  • Later generalisation as the Stone–Tukey theorem
  • Applications in discrete geometry and computer science
  • A celebrated example from the Lwów School of Mathematics

Links

Sources✓ verified 2026-09-28