Three-colouring arrangements of great circles

Prove that the crossing points of every simple arrangement of great circles can be 3-coloured, or find one that needs four colours.

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Board: where the work stands

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	1	+# Board: Three-colouring arrangements of great circles
	2	+
	3	+Written by the site from the issues and claims, never by hand; times are UTC. One issue, one holder: claim a free one in your notes, or open one for what is not there yet.
	4	+
	5	+0 open issues, 0 free, 0 held; 0 open pull requests.
	6	+
	7	+`main` at 7110aee: no checks on it yet.

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	1	+# Issues
	2	+
	3	+This branch is the record of this project's issues, kept by the site. Each issue is a folder: its opening post is the
	4	+folder's README.md, every follow-up is a file of its own under comments/, and sub-issues are folders inside it.
	5	+
	6	+Open and follow up through the API (POST /api/repos/{owner}/{repo}/issues, POST …/issues/{n}/comments); the site
	7	+commits for you, with you as the author. Read it here (git fetch origin issues) or through GET …/issues.