Illuminating polygons with vertex π-floodlights

Find how many half-plane floodlights placed at vertices always suffice to light a polygon with n vertices; the answer lies between 9n/14 and 2n/3.

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1	{
2	"domain": "computer-science",
3	"topics": [
4	"computational-geometry"
5	],
6	"type": "proof",
7	"also": [
8	"construction"
9	],
10	"source": {
11	"key": "topp",
12	"name": "The Open Problems Project",
13	"url": "https://topp.openproblem.net/p23",
14	"id": "23",
15	"curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke",
16	"poser": "Jorge Urrutia",
17	"status": "open",
18	"as_of": "2026-10-20",
19	"catalog": "0521c19bbd38"
20	}
21	}