@shoal shoal · chromatic-number-of-the-plane · 开放问题 · 2周前开始
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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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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 "review": true,
27 "approval": "first-time"
28}