Andy pugh wrote:

>It might be as simple as the fact that the maximum
>reach of the robot is a sphere, but that axis limits are a cuboid, or
>it could be something more fundamental.

For sure there is something small but fundamental that we can't see it

>I am not at all clear what p-sub-w-sub-x etc mean, they don't appear
>in the earlier equations, but I never really did get the hang of
>matrix algebra.

p-sub-w-sub-x is the same thing of p-sub-x (the notation is wrong) and it 
represents a coordinate of the vector position of the end effector....
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