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Being circular allows for zero clearance turns.

If you imagine a square robot traversing a wall and approaching a 90 degree inside corner, it can’t make the turn and would also be unable to make a perpendicular move to get more space.

That said Eufy, Makita and others make square-ish robots.



It can easily make the turn if only one quadrant was square and it didn't approach the wall with that quadrant pointing forward




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