How to Coil around a Cylinder

Here’s a version where the coils ‘join’ making a solid with no gap.
I’ve used the polygon tool here to help show what is happening, it has the added benefit of being able to toggle the way the vertices are positioned. You can see as I’m creating the circle how the shape flicks from point to flat as I tap the ctrl key. This way the flat is at 3/8th. (circles and polygons are never a perfect circle, the size varies from vertex to mid segment) So when you use the outershell tool the flat face between the coils is removed.
This can be done with a circle, of any even number of segments, just by rotating the circle half a segment. Or use a polygon of any even number and weld the edges before you extrude. (the polygon tool really just creates a circle with unsoftened vertices)
Solid coil

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