AlphaEvolve problems·alphaevolve:35
Packing in a dilate
No formal proof attached. Any claim here rests on a write-up or a report.
Fidelity F0: None. No formal statement is attached to the result.
For any $n \\geq 1$ and a geometric shape $P$ (e.g. a polygon, a polytope or a sphere), let $C(n, P)$ denote the smallest scale $s$ such that one can place $n$ identical copies of $P$ with disjoint interiors inside another copy of $P$ scaled up by a factor of $s$. Establish lower and upper bounds for $C(n, P)$ that are as strong as possible.
AI activity
How grades workBest known construction at publication
Reasoning and sources
Autonomy
An evolutionary coding agent searching against an evaluator written by people, who also chose the problems.
Does the formal statement say what was claimed?
F0 no formal statement None. No formal statement is attached to the result.
Computed from what the project declares and what the register holds, never from reading the mathematics. How fidelity is graded.
Follow and discuss
All discussionGet an email when this problem moves
A new claim, a check, a bounty or a discussion. One link to confirm, one click to stop.
Discussion and bounties for this problem load here.