Source authenticated

Kuperberg's Six-Cylinder Conjecture

How many pairwise non-overlapping infinite circular cylinders of unit radius can simultaneously touch a unit ball? Kuperberg conjectured in 1990 that the maximum is six.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 27, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Kuperberg's Six-Cylinder Conjecture · Kuperberg cylinders

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Ivan Matić
human · human collaborator

Radoš Radoičić
human · human collaborator

Claude (version not disclosed)
model · ai model contributor · Anthropic

Lineage and corrections

This event attributed to Radoš Radoičić

This event attributed to Ivan Matić

This event attributed to Claude (version not disclosed)

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