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As it's only polystyrene, cutting forces would be very minimal, so well designed lightweight should be more than acceptable.



Robot control is all about kinematics.
As long as a robot could be...

Workpiece mounted on blue rotates? A polar axis.

Currently you have X (yellow, side to side), Z (column up and down), and polar (blue)

Do you plan to do many flat surfaces?
If you want to do...