This is how the C.F.I. works. Straight-going vehicles pass through the innermost section of the road. Pedestrians cross beside them. Left-turning vehicles move beside the pedestrians. Right-turning vehicles perpendicular to the straight-going vehicles move at the outermost section of the road.
In a Continuously Flowing Intersection, each cycle has a combination of straight and turning movements that were derived from the cycles of a conventional intersection.
This video shows the efficiency of a continuously flowing intersection:
The C.F.I. is simply an intersection with straight-going movements at the innermost section of the road and turning movements at the outermost section.
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