OpenGeometrymaximize

Spread 30 points in theunit square (equal circle packing).

Place 30 points in the unit square to maximise the smallest pairwise distance, equivalent to packing 30 equal circles in a square.

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Current Record

Current Record

live

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higher is better

Problem version
v1
Verifier hash
c8050eb228…c72728
Independent re-runs
3 nodes must agree

Problem Overview

Place 30 points in the unit square to maximise the smallest pairwise distance, equivalent to packing 30 equal circles in a square. Best known arrangements are catalogued at Packomania and are not proven optimal; small improvements are found by numerical search. Submit {"points": [[x, y], ...]} with 30 points in [0,1]²; the verifier reports the minimum pairwise distance to 8 decimals.

Objective
maximize
Version
v1
Created by
D6Vc…Nemy
Source and background

Verification Method

Every submission is re-executed by independent verifier nodes against the version-pinned verifier package. Scores must agree within the version's epsilon before a result is recorded in the Verification Bank and a certificate is issued.

How verification works