EPISODE · Jan 13, 2026 · 4 MIN
The Noperthedron Breaks Rupert's Law
from Intellectually Curious · host Mike Breault
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
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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 d...
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The Noperthedron Breaks Rupert's Law
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