How to Cut a Sandwich Perfectly – With Science #shorts #kurzgesagt

Cutting sandwiches with much science, with a single straight cut, can you half a three-ingredient sandwich with all components perfectly halved? There's actually real science about this called the ham sandwich theorem.

The answer might seem obvious when you're looking at a theoretical symmetrical sandwich, but in reality, sandwiches are messy. But mass doesn't care about messiness; it still works. It doesn't matter what form the three ingredients have or how they're positioned.

Imagine a slice of bread in Munich, Germany; a slice of ham at a farmer's market in San Francisco, USA; and a slice of cheese in a lunchbox on a plane to Indonesia. Although this might not be a sandwich in the classical sense, there is a single perfect cut that halves all three slices at once.

We just need a very big knife. And there's more math. It says there's always a perfect cut for a four-piece sandwich in a four-dimensional space, same for a five-piece sandwich in a five-dimensional space, and so on.

Thanks, maths! Now any multi-dimensional civilization can be...