How can I create a helically swept S shaped flute?
I am trying to recreate a velvet endmill, and frankly, I have no clue where to start with modeling this. Usually, I use a helical sweep to model normal endmills, but this has me stumped.

I am trying to recreate a velvet endmill, and frankly, I have no clue where to start with modeling this. Usually, I use a helical sweep to model normal endmills, but this has me stumped.

Interesting, never seen one of these.
Off the top of my head, the variable section sweep using of trajpar equation involving (co)sine is the go-to for these kinds of "periodic" features.
But maybe the "wrap" tool could be used to get the snaking curve to follow the helical path around your stock cylinder?

The other way would be to make a "straight" protrusion (with undulating sides), pattern, then twist using the "warp" feature:




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