The Quanta Podcast

Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s big enough for the other to slide through? It is — but what about other shapes? In a paper posted online in August, two researchers describe a shape with 90 vertices and 152 faces that they’ve named the Noperthedron, the first convex polyhedron that definitely cannot pass through itself. In this episode, Quanta contributor Erica Klarriech tells host Samir Patel about how the researchers discovered the shape, and how it solves a centuries-old geometric mystery. Audio coda courtesy of the Gemsmen Renaissance Consort.

Studies of neural metabolism reveal our brain’s effort to keep us alive and the evolutionary constraints that sculpted our most complex organ.The story How Much Energy Does It Take To Think? first appeared on Quanta Magazine.

Ask ChatGPT how to build a bomb, and it will flatly respond that it “can’t help with that.” But users have long played a cat-and-mouse game to try to trick language models into providing forbidden information. Just as quickly as these “jailbreaks” appear, AI companies patch them by simply filtering out forbidden prompts before they ever reach the model itself.Recently, cryptographers have shown how the defensive filters put around powerful language models can be subverted by well-studied cryptographic tools. In fact, they’ve shown how the very nature of this two-tier system — a filter that protects a powerful language model inside it — creates gaps in the defenses that can always be exploited. In this episode, Quanta executive editor Michael Moyer tells Samir Patel about the findings and implications of this new work.Audio coda courtesy of Banana Breakdown.

(This episode was first published in June 2025.)Changes in the number, shape, efficiency and interconnectedness of organelles in the cells of flight muscles provide extra energy for birds’ continent-spanning feats.This is the fifth episode of The Quanta Podcast. In each episode, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

(This episode was first published in July 2025.) Where does gravity come from? In both general relativity and quantum mechanics, this question is a big problem. One controversial theory proposes that the force arises from the universe's tendency toward disorder, or entropy. In this episode, host Samir Patel speaks with contributing writer George Musser about the long-shot idea called "entropic gravity," which Musser covered in a recent story for Quanta Magazine.Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio coda provided by Cosmic Perspective.