Lego Mindstorms have really really provided some great tools for home robot engineering. JP Brown has several examples on his web site including this CubeSolver:
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My early attempts at building a cube solver were all stymied by grips that slipped. The worm-56t gave enough torque to turn, but the fingers couldn’t hang on and the grip was simply pried apart as the grabber rotated around the stationary cube face. I thought about changing the device’s name to ButterFingers.
I rebuilt the left and right grabbers six times (and the bottom grabber four times) trying elastic bands, Technic shocks, and pneumatics, before I came up with an adequate grip mechanism. In the present version, an axle runs from a motor through the center of the large Technic turntable to a worm screw. The worm screw turns two 24t gears mounted either side of the worm inside the body of the grabber.
Other home engineering favorites: Awesome Cat Cam – Windmill for Electricity – Lego Autopilot First Flight

