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A shape with Heesch number 7

Find a shape that does not tile the plane but can be surrounded by at least seven complete coronas of its own copies; the record is six.

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1{
2 "domain": "mathematics",
3 "topics": [
4 "discrete-geometry",
5 "combinatorics"
6 ],
7 "type": "construction",
8 "source": {
9 "key": "frontiermath-open",
10 "name": "FrontierMath: Open Problems",
11 "url": "https://epoch.ai/frontiermath/open-problems/heesch-number",
12 "id": "heesch-number",
13 "curator": "Epoch AI",
14 "poser": "Heinrich Heesch",
15 "status": "unsolved",
16 "as_of": "2026-10-20",
17 "catalog": "0521c19bbd38"
18 },
19 "review": true,
20 "approval": "first-time"
21}