His brain is the EZ-B from the EZ-Robot Project. Available at http://www.ez-robot.com
Lots of specifications and videos can be found here: http://www.dj-sures.com/robots

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Build your own full-size (or smaller) TARDIS: http://www.asciimation.co.nz/tardis/
but! have no fear :) .. if you were to make your own, it would only be the body that you'd have to design yourself. since it is made with styrene, it is available at most hobby stores. or even online from ebay (which is cheapest)
you can watch one of my other videos (Tamiya Bulldozer). that would get you the parts necessary to get the robot moving... and with a bit of electronic brain power :)
good luck!
One question though, how did you implement the 3-D map into the programming?
A.I. is the future, and as this slideshow shows... you can do this at home :P
Timelord Poochie!
Instructable required!