Rainforest Inc. is opening a large new automated warehouse in the far Northern reaches of the
UK—some place they call “Walthamstow”.

The robotic worker drones inside will operate in not just one or two, but three dimensions, and
can move in any one of the 6 cardinal dimensions in steps of 1 metre at a time. For example,
a robot looking to move from position (X1; Y1;Z1) to position (X2; Y2;Z2) will, assuming no
obstacles, need to take (jX2

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