Discovering the Noperthedron

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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