Breakthrough Tracker record
The moving sofa problem: a claimed optimality proof
The paper claims that Gerver's 18-section shape has the largest possible area, approximately 2.2195, among planar sofas that can move around a right-angled unit-width hallway corner.
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- Stable ID
math-moving-sofa-gerver-optimality-2024- Revision
math-moving-sofa-gerver-optimality-2024.v1- Field
- Mathematics · Geometric optimization
- Evidence
- Tier 1 · Peer reviewed: No
- Record state
- Provisional · Claimed proof under review
- Last checked
AI role
No generative-AI role was disclosed.
Record details
- Problem or result
- Moving sofa problem
- Authors
- Jineon Baek
- Institutions
- Yonsei University at announcement
- Result date
- Preprint submitted November 29, 2024
Why it matters
If accepted, the proof resolves a famous geometric optimization problem posed in 1966.
Limits
No journal publication was located, and arXiv still showed the original version at the last check. The result should remain labeled as a claimed proof while the long, technical argument is reviewed.
Sources
- Primary: Jineon Baek, Optimality of Gerver's Sofa
- Independent: Quanta, The Largest Sofa You Can Move Around a Corner
Correction and revision history
- Added on 2026-07-22 as a provisional claimed proof rather than a confirmed solution.
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