you shouldn’t have to take the smaller half; there shouldn’t BE a smaller half!

by Tom Lee

From Wikipedia:

The ham sandwich theorem, also called the Stone–Tukey theorem after Arthur H. Stone and John Tukey, states that given any sandwich composed of bread, ham, and cheese, there is a plane that cuts the sandwich into two pieces that contain equal amounts of bread, equal amounts of ham, and equal amounts of cheese. Mathematically, and more generally, given n measurable “objects” in ndimensional space, it is possible to divide all of them in half (according to volume) with a single (n − 1)-dimensional hyperplane. Here the “objects” should be sets of finite measure (or, in fact, just of finite outer measure) for the notion of “dividing the volume in half” to make sense.

Who else read “Stone-Tukey” as “Stone-Turkey” the first time?  Anyway, I’m now hungry and confused.

(link via Trivium)


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s