Optimal Partial Plank Coverings
Given planks of fixed total width, how should they be placed to cover as much of a convex body's volume as possible? Karoly Bezdek asked whether, for a Euclidean ball, the optimum is a single plank centred at the origin. It is, and the paper also settles every planar convex body.
Exact FrontierDelta
Scope and record
Occurred: Jul 29, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.
Canonical aliases: Optimal Partial Plank Coverings · Partial plank coverings
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Egor Bakaev
human · human collaborator
Alexander Polyanskii
human · human collaborator
ChatGPT
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Alexander Polyanskii
This event attributed to Egor Bakaev
This event attributed to ChatGPT