The ‘Ham Sandwich Theorem’ Will Change How You See the Universe… Seriously

Ham sandwiches are delicious, but they’re also pretty useful when it comes to understanding the universe.

Is Anything Truly Random? –

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The Ham Sandwich Theorem Is a Delicious and Puzzling Mathematical Principle
“So if you’re ever floating out in space with a friend who’s really particular about splitting food equally, you know for certain that you can cut your ham sandwich to fairly share it with them.”

A stronger conclusion to the classical ham sandwich theorem
“The conclusion of the classical ham sandwich theorem for bounded Borel sets may be strengthened, without additional hypotheses–there always exists a common bisecting hyperplane that touches each of the sets, that is, that intersects the closure of each set.”

Mathematicians on Ham Sandwiches
“The Ham Sandwich Theorem has been a treat and a spur to mathematicians for more than half a century. It first cropped up in a branch of mathematics called algebraic topology.”


Elements is more than just a science show. It’s your science-loving best friend, tasked with keeping you updated and interested on all the compelling, innovative and groundbreaking science happening all around us. Join our passionate hosts as they help break down and present fascinating science, from quarks to quantum theory and beyond.

Seeker explains every aspect of our world through a lens of science, inspiring a new generation of curious minds who want to know how today’s discoveries in science, math, engineering and technology are impacting our lives, and shaping our future. Our stories parse meaning from the noise in a world of rapidly changing information.

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Special thanks to Maren Hunsberger for hosting and writing this episode of Seeker!
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