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Sweep cutter path through a cylinder

Hi, I want to create a cut shape that emulates a milling cutter path in the outer surface of a cylinder. The cutter path will rotate around the centre axis of the cylinder.
I can create a wrap shape that puts the cut into the cylinder  but this creates an angle between the edges/faces which would not be created by a milling cutter - it should have parallel sides.

Hop that makes sense.

Any tips ?

Thanks

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