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.

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geometry-topologyJul 27, 2026Significance 20/100Registry: unreviewed

Kuperberg's Six-Cylinder Conjecture

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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.

Source authenticatedKuperberg's Six-Cylinder Conjecture →

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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.

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