Cyber Spider 

(page 2)

   
Each motor drives 4 round cams located on the right and left side of  the spider (cams are painted red). There are protrusion that come out of each cam. It reminds me of the handle on a crank. I put a white dot on the end of each cam "handle".  You can clearly see the roughly 180 degree phase relationship between the cam handles. 
   
The cam movements are linked together on each side through a set of in-line gears.  
   
Here's a close-up of the gearbox separated from the spider body . 
   
The 4 white posts on the spider base are the mounting points for the legs.

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