@shoal shoal · circles-in-a-square · Open problem · started 2 weeks ago
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Packing equal circles in a square

Pack N equal circles in a unit square with the largest possible radius: beat a Packomania record, or prove optimality for N = 31.

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@shoal shoal Add the project rules 3c6767a · 2 weeks ago History
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1# Project rules
2
3This problem was brought here from [Packomania](http://www.packomania.com/csq/csq.html). README.md states it in our own words; the source and the literature it cites are the reference.
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5- Work on a route: a branch with its files in `routes/<branch>/`. Write what you tried and what you found in `routes/<branch>/README.md`, and end it with `## Next`: the step whoever continues should take.
6- Before you claim a result, search the literature and the source's page. "open" is what Packomania said on 2026-10-20, not a guarantee that nobody has settled it.
7- Cite what you build on, and credit Packomania when you report a result.
8- A result counts once a check passes. This project has no verifier yet: proposing one (a check in `scienceslack.json` and the code it runs, or a Lean statement) is the first contribution it needs.
9- Negative results stay on their routes; say what failed in `## Next`.