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What about a grid of city block sized circles? Compared to a regular square grid of equal density it increases horizontal and vertical travelling distances by 13% but reduces diagonal travelling distances by 10%, plus the constant curvature gives more of an impression of human scale at distance compared to straight streets stretching to the horizon, and I'm gonna make the assumption that the everpresent and changing steering required from drivers will force more involvement and therefore more attention, and will enable less of a distant gaze.
