Intellectually Curious
Intellectually Curious is a podcast by Mike Breault featuring over 1,600 AI-powered explorations across science, mathematics, philosophy, and personal growth. Each short-form episode is generated, refined, and published with the help of large language models—turning curiosity into an ongoing audio encyclopedia. Designed for anyone who loves learning, it offers quick dives into everything from combinatorics and cryptography to systems thinking and psychology.
Inspiration for this podcast:
"Muad'Dib learned rapidly because his first training was in how to learn. And the first lesson of all was the basic trust that he could learn. It's shocking to find how many people do not believe they can learn, and how many more believe learning to be difficult. Muad'Dib knew that every experience carries its lesson."
― Frank Herbert, Dune
Note: These podcasts were made with NotebookLM. AI can make mistakes. Please double-check any critical information.
Intellectually Curious
The Noperthedron Breaks Rupert's Law
A journey from Prince Rupert’s late‑17th‑century bet to a 2025 breakthrough that ends the Rupert conjecture. We explore how Jakob Steininger and Sergey Yurkevich designed the Noperthedron—an ornate 152‑faced shape engineered to fail the Rupert test—and how, by partitioning orientation space into about 18 million regions and applying a global and a local theorem, they proved no convex solid has the Rupert property. We also meet the Ruperthedron, a Rupert shape that is not locally Rupert, and discuss what this means for geometry and modern, computer‑assisted proofs.
Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC