Trying to cut through a street grid on a diagonal to save time and distance

Street grids have benefits, including offering multiple routes should congestion arise at one intersection or certain routes are off-limits. But what if a driver or pedestrian wants to move quickly through the grid at a diagonal?

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Different communities may offer options for this. Perhaps there are alleys one can cut through. These back ways offer even more alternatives through the grid if the main streets are congested. Or there might be an occasional diagonal roadway that crosses at an angle to other roads. Depending on the way one is traveling, the diagonal route might be more direct.

Chicago is a good example of having both options in numerous neighborhoods. The flat Midwestern city primarily has a road grid that stretches for miles. East-west and north-south streets can go a long way from one end of the city to the other (and beyond). At the same time, alleys and diagonal streets provide other travel options. The diagonal roadways can create some interesting intersections – these present travelers with different visuals and traffic patterns than they might be used to – but offer more direct routes at an angle to the grid. Numerous alleys take some pressure off the roads for garages, garbage, and other uses.

I imagine other places might offer different options. Any city offer an underground grid at a 45 degree angle to the ground-level grid? Or pedestrian skyways or tunnels that offer paths that cross the grid in different ways?