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Curve a pen stroke into a circle

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I need to make a gear with VERY specific curves. I would pay someone if they could help me with this project, it's that important. I need to make a gear with spokes that can be reshaped, and adjustments will be automatically mirrored around the entire gear.

 

To do this, I want to create a noncircular segment of two spokes in the gear. Then this segment must be curved along a circular angle, then repeated to go all the way around and complete the whole gear.

 

For Part 1, I was thinking about putting the noncircular segment onto a circle path, forcing the baseline to follow this angle. Kind of like how you can put text on a path, but instead I want to use a shape. I haven't been able to figure out how to do this.

 

For Part 2, I want to use a mirror effect to copy the two spokes around the rest of the circle OR copy the spokes along the rest of the circle.

 

For Part 3, I want to be able to adjust the original two spokes and the rest of the mirrored or copied spokes follow suit. I also need a null controller for stroke width.

 

 

So far part one, does anyone know how to force a shape's baseline around a circular path? Or a better method? I'm in great need and seeking a genius or three!


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