The Strangely Serious Implications of Math’s ‘Ham Sandwich Theorem’
Consider lunch. Perhaps a nice ham sandwich. A slice of a knife neatly halves the ham and its two bread slices. But what if you slip? Oops, the ham now rests folded under a flipped plate, with one slice of bread on the floor and the other stuck to the ceiling. Here’s some solace: geometry ensures that a single straight cut, perhaps using a room-sized machete, can still perfectly bisect all three pieces of your tumbled lunch, leaving exactly half of the ham and half of each slice of bread on either side of the cut. That’s…