Re:Ham sandwich??? (Score 1)

The Polynomial Ham Sandwich Theorem!
The ham sandwich theorem, states that given n measurable "objects" in n-dimensional space, it is possible to divide all of them in half (according to volume) with a single (n - 1)-dimensional hyperplane.

The ham sandwich theorem takes its name from the case when n = 3 and the three objects of any shape are a chunk of ham, a hunk of cheese, and a piece of bread -- notionally, a sandwich -- which can then each be bisected with a single cut (i.e., a plane). The theorem then states that it is possible to slice the sandwich in half such that each half contains the same amount of bread, cheese, and ham.
              -- paraphrased from Wikipedia
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Basically, given a bunch of objects (N) in an N-dimensional space, you can divide it into two halves both containing the same amount of stuff in both halves using a single cut (an N-1object).

Definitely beyond my mathematics skills nowadays to use it, but I hope the explanation helps.