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I've got to run to work. I'll come back tonight and add a few details - as well as the Zillions file I've programmed:-)
We have three round+hexagonal variants listed here (at least that are categorized as such):
https://www.chessvariants.com/index/mainquery.php?category=Hexagonal,Round
and all three of them opt for drawing the board round—stretching the hexagons as necessary—rather than just drawing the hexagonal board and including the rule for wrapping from one side to the other. I suppose some of the wraparound moves might be harder to see; but I think the knight moves in the last image here are also a little difficult, maybe because of the warping of the outer hexes.
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