Fascinating! The path starts off clockwise, then anticlockwise, clockwise again to the summit (much like the route a modern mountain road would take).
Wonder what the logistics are here? If you wanted to get to the top with the least amount of effort would that alternating route be the easiest way of doing it? I can see the logic behind such a path if it's going up a mountain side but what would be the point of doing that way in the case of a truncated cone? People going up and down would always be visible from one side of the cone of course...?