Math with Bad DrawingsCartoon Archive

The Ham Sandwich Theorem

August 7, 2025

The ham sandwich theorem illustrated by a mathematician bisecting airborne bread and ham with a sword.

Use this cartoon

Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-08-07-the-ham-sandwich-theorem/ (CC BY-NC 4.0)
Transcript

"HAM SANDWICH THEOREM: Any 3 objects arranged in 3D space (for example, two slices of bread and a slice of ham) can all be sliced simultaneously in half with a single cut." [A wild-eyed person swings a sword at flying bread and ham: "BIIIISECTION TIME"] Partner: "Honey, not again."

"COROLLARY: Mathematicians are not entirely clear on how to make a sandwich."

Topics
Advanced Math › Topology › Ham Sandwich TheoremGeometry › 3D GeometryLogic & Proof › Proofs & Theorems
Level
High SchoolCollege
Themes
FoodFamily & RelationshipsMathematicians