LinuxCNC supports arcs in XY, ZX, YZ planes
It also allows cycles(?) in the UV, WU, VW planes.

During my work on G71 / G72 (which attempts to support any plane) I
have realised that a multi-axis lathe might want other combinations.
Noting that there is quite a lot of clear space in the region G17.0 to
G19.9 I have come up with the following:

https://docs.google.com/spreadsheets/d/1C_vm5pExMxhw5hccaCCjmV5YAAPno4YuDGFd-bGzNKI/edit?usp=sharing

It would be easier if we decided that G16 was spare (used for polar
coordinates on some controls, so _almost_ appropriate) as there are
not quite enough G-codes for all the combinations.

-- 
atp
"A motorcycle is a bicycle with a pandemonium attachment and is
designed for the especial use of mechanical geniuses, daredevils and
lunatics."
— George Fitch, Atlanta Constitution Newspaper, 1916

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