Intellectually Curious
Intellectually Curious is a podcast by Mike Breault featuring over 1,400 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 Art Gallery Problem: Why floor(n/3) Guards Are Enough
Join us as we dissect the art gallery problem for simple polygons: triangulate the shape, color the vertices with three colors, and pick guards from the smallest color class to cover every spot. We trace the logic from the floor(n/3) bound to efficient algorithms like Jarvis's march and Chan's O(n log H), and explore trapezoidal maps and randomized incremental construction for fast point location. Along the way we connect the theory to real-world spatial problems and touch on the challenges and opportunities of extending these ideas to higher dimensions.
Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC