Yes, as an aeronautics engineer and daughter of 2 maths teachers I had to look up how to draw an hexagon with a compass and a ruler π (childhood memories quickly came back though ποΈ). And no, I did not look on the APMEP page (French association of maths teachers, that my parents are/were members of), what with their description on my search engine result beginning with: “everybody knows how to build a regular hexagon with a compass and ruler” ππβ¦
Quickly tried it on repeat:

Looks a bit unbalanced :/ I guess I’ll try to tweak it a bit! Not yet sure how…
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[…] So I’ve reworked the base hexagonal tile for my repeat pattern. […]