I implemented an online lantern gear builder to complement my other online gear generators.
The gear meshing with the lantern gear is created by tracking how the lantern gear pins cut into the disk of the matching gear. As an example, the image on the right shows the path of one lantern pin moving clockwise into the 3 o’clock position. The same circles, pinned to the matching gear, create the shape of a half tooth as the matching gear turns counterclockwise at a speed defined by the gear ratio. (I use the same mechanism for the involute spur gear builder).
The complete list of gear builders is: