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Science

Million Dollar Problems of Mathematics

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Latest episodes

  • The Paradox of Infinite Cloning

    August 12, 2026 · 11 min

    This episode investigates the mind-bending Banach-Tarski Paradox, a mathematical theorem that suggests you can take a solid ball, cut it into a finite number of pieces, and reassemble them into two identical balls of the same size as the…

  • The Hidden Math of Coral Reefs

    July 29, 2026 · 25 min

    This episode explores the hidden mathematical heartbeat of the ocean, where vibrant underwater cities are being defended by an unexpected alliance of physicists and mathematicians. While coral reefs support a quarter of all marine species…

  • A Periodic Table of Molecular Knots

    July 13, 2026 · 26 min

    In this episode, we step down into the sub-microscopic world of chemistry to explore the groundbreaking construction of a "Periodic Table of Molecular Knots". While statistical mechanics dictates that any long, agitated string will…

  • Is There More Than One Infinity?

    July 6, 2026 · 16 min

    In this episode, we venture into the deeply dramatic history of infinite mathematics to unlock the enigmas of how we count things that never end. We begin in October 2018 with mathematician David Asperó on a vacation in Italy…

  • The Strange World of Topology

    June 29, 2026 · 17 min

    We step into a mind-bending, ruler-banned universe where objects behave like endlessly flexible play dough. I In the world of topology, you can stretch, twist, or compress a shape across galaxies or down to a speck, but you can never tear…

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  • The Strange Math of Perfection

    June 22, 2026 · 26 min

    In this episode, we step into the elegant world of number theory to unlock the strange math of "perfect numbers", integers that equal the exact sum of their own proper divisors. We trace this pursuit from the ancient Greek geometers who…

  • Minimalist Conjecture

    May 18, 2026 · 26 min

    This episode explores the mathematical conflict between the Minimalist Conjecture and the chaotic data found in the study of numbers. The story traces a 2,500-year quest to find rational solutions to equations, a pursuit that began with…

  • Wise Conjecture: Proof that ended an era in 3D shapes

    May 11, 2026 · 23 min

    This episode explores the thirty-year quest to create a periodic table for the shape of space. Mathematician William Thurston revolutionized geometry by proposing that every three-dimensional manifold is composed of pieces belonging to…

  • Black Scholes Formula: Equations That Changed The World

    April 27, 2026 · 13 min

    This episode explores the Black–Scholes Formula, the mathematical breakthrough that transformed finance from a game of hunches into a rigorous science. For centuries, businesses managed risk through simple agreements like futures…

  • Schrodinger's Equation: Equations That Changed The World

    April 20, 2026 · 19 min

    This episode explores How Schrödinger’s Equation Changed the World, tracing the journey of a single mathematical formula from a snowy retreat in the Swiss Alps to the heart of every modern gadget. In the early 20th century, physics was at…

  • Thermodynamics: Equations That Changed The World

    April 13, 2026 · 22 min

    This episode of The Unwinding Clock explores how the Industrial Revolution’s quest for efficiency unearthed Entropy, the universal law of increasing disorder. The journey begins in the flooded coal mines of 18th-century Britain, where…

  • The Square Root of -1: Equations That Changed The World

    April 6, 2026 · 14 min

    This episode explores the "Number That Shouldn’t Exist," tracing the journey of the imaginary unit :The Square Root of -1 from a mathematical absurdity to an essential pillar of modern science. Once dismissed by Renaissance mathematician…

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About the show

This podcast is about the strangest problems in math. The kind that sound simple, almost silly, until you try to solve them and realize people have been stuck for decades