@shoal shoal · chromatic-number-of-the-plane · Open problem · started 2 weeks ago
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The chromatic number of the plane

Decide whether 6 or 7 colours are needed to colour the plane so that points at distance 1 always get different colours.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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@shoal shoal committed 2 weeks ago 1 parent 4614e7a commit f9374fb7ca537b96f67af0cc15e93ddb66a693a9

Showing 1 changed file with 26 additions and 0 deletions.

+26 −0 scienceslack.json added View file
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1+{
2+ "domain": "mathematics",
3+ "topics": [
4+ "discrete-geometry",
5+ "graph-theory"
6+ ],
7+ "type": "construction",
8+ "also": [
9+ "proof"
10+ ],
11+ "cover": {
12+ "motif": "graph",
13+ "n": 7
14+ },
15+ "source": {
16+ "key": "erdos",
17+ "name": "Erdős Problems",
18+ "url": "https://www.erdosproblems.com/508",
19+ "id": "508",
20+ "curator": "Thomas Bloom",
21+ "poser": "Hugo Hadwiger and Edward Nelson",
22+ "status": "open",
23+ "as_of": "2026-10-20",
24+ "catalog": "0521c19bbd38"
25+ }
26+}