If you had a machine with conventional XYZ and a radial cutter motion
too. (For example a HBM like my dad's)
https://picasaweb.google.com/lh/photo/lorjlRbUi9B2VQy0Cd0KcNMTjNZETYmyPJy0liipFm0?feat=directlink

If that was CNC you could bore spherical cavities and external radii.

I guess that the radial slide on the chuck would be a U axis (then a V
axis then a U axis...).

LinuxCNC can't do G2 G3 in the ZU plane. So how would you set up such a machine?

I guess you could make cartesian moves in VYZ and curves in XZ? Would
this be the method of choice? Viewing the machine as in inverted lathe
rather than a milling machine this nomenclature makes an amount of
sense.

Is the inability to do curves in anything but the XY YZ and XZ planes
deeply hard-coded, or would it be a trivial modification to add?
(XY, XZ, XU, XV, XW, YZ, YU, YV, YW, ZU, ZV, ZW, UV, UW, VW is rather
more planes than fit comfortably)

-- 
atp
If you can't fix it, you don't own it.
http://www.ifixit.com/Manifesto

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