
Discovering the Noperthedron
From We Have Concerns by Jeff Cannata/Anthony Carboni
February 2, 2026 · 51 min · Episode 808
About this episode
The episode explores a surprising geometry problem involving the interaction of six-sided cubes and the discovery of unique convex polyhedrons.
Can one six-sided cube seamlessly pass through another of equal size? The answer may surprise you. And the quest to discover convex polyhedrons that don't behave that way is even wilder. After more than three centuries, a geometry problem that originated with a royal bet has been solved, and Jeff and Anthony lay it all out for you.
People in this episode
Hosts: Jeff Cannata, Anthony Carboni
Topics covered
- geometry
- polyhedrons
- mathematics
- science
- problem solving
Keywords
- geometry
- polyhedron
- Noperthedron
- mathematics
- cube
- convex shapes
- problem solving
Mentioned in this episode
Books & works: Noperthedron
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