Next Dimension Geometry
Show notes
Jordan Ellenberg says geometry isn’t about shapes. It’s about distance. In a tour of geometry far stranger than anything from high school, the mathematician breaks down how our ancient understanding of triangles evolved into the invisible architecture behind AI, family trees, and human relationships. Minds expand as we ask why the "closeness" between two ideas is a literal angle in a vast multi-dimensional space, and what can a 19th-century novella about a talking square teach us about worlds we'll never see?
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Guest Bio:
Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison, specializing in number theory and arithmetic algebraic geometry. He is the New York Times bestselling author of How Not to Be Wrong and Shape, and his forthcoming book, Don't Be Too Sure, arrives in 2027.