AlphaEvolve problems·alphaevolve:54
Pairwise touching cylinders
No formal proof attached. Any claim here rests on a write-up or a report.
Fidelity F0: Absent. No formal statement is attached to the result.
Is it possible for seven infinite circular cylinders $C_1,\\dots,C_7$ of unit radius to touch all the others?
AI activity
How grades workMatched the best known construction
Reasoning and sources
Autonomy
An evolutionary coding agent searching against an evaluator written by people, who also chose the problems.
Fidelity
How fidelity is gradedF0 no formal statement. Absent. No formal statement is attached to the result.
Follow and discuss
All discussionFollow this problem
An email when it has a new claim, check, bounty or discussion. You confirm once and can stop with one click.
Discussion and bounties for this problem load here.
Seen recently
What the monitors picked up in the last thirty days, not yet graded.
Something wrong or missing here? Request a correction or add a claim, with its sources.
Claims and corrections from readers
All of themSources
Cite this record
qed.bot, “Pairwise touching cylinders”, https://qed.bot/t/alphaevolve-54, as of 30 Sep 2026.