Hi wisty,
Re:
> I would just extrude from that profile to the apex point and cut off at
> the inner profile location.
The way I read Law's book p42 it sounds like this can't be done by extruding a planar profile curve because "the teeth are not in a plane parallel to the base of the cone but are, in fact, perpendicular to the to conical pitch surface."
I'd draw one tooth of the involute profile, orient that planar curve to be perpendicular to the pitch cone. Then make a scaled copy that is farther from the apex. Loft between these 2 profiles to get the tooth surface. Then array around the circle. But, I'm not a gear guy, so not sure if this is accurate, or if there needs to be some correction for wrapping the flat involute profile around a circle.
What calculations are you referring to in Law's book? I'm not seeing them.
It might be worth using Gearotic instead. No personal experience, but have heard good things.
- Peer
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