Conventional unit mesh

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I'm trying to find and outline a non-primitive conventional unit mesh, I'm not sure how to go about it. I'd also like to find any mirrors of planes and rotional symmetry axes.

Would this look correc for a conventional unit mesh that is non-primitive? enter image description here

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It would certainly be able to replicate the matrix outwards, but isn't it better to find the smallest tile? There is a whole one inside the area you selected. Both are hexagonal units with mirror and rotational symmetry of 60°.

Added:
What about this one?
enter image description here