A Robot for Timo – cheap telepresence for remote teams
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If I had to build one that moves around, I'd start with investigating the Roomba API, with an aim to mount the iPad on a Roomba and expose remote control of the Roomba to the chatter. You wouldn't get as high off the ground as a Double robot without making the mount unstable, though!
This would have moved the iPad around, the same way as the pan tilt head.