Barack Obama was standing on a riser inside a warehouse here, delivering an inspirational speech about the blessings of freedom, when his left index finger began to twitch uncontrollably, unnerving his aides.

The nation’s 44th president was in obvious distress. At least it looked like him. But with silicone skin and a tangled nest of wires for veins, this Obama was a 21st-century reproduction.

More specifically, it was an audio-animatronic representation of the president, as imagined by the Walt Disney Company, and assembled with the direct involvement of the White House staff — and of Mr. Obama himself. The president supplied not just his measurements, but he also recorded that speech (which was initially drafted by a Disney writer) — and yet another recitation of the oath of office, this one in Disney high-definition sound.

In that Hollywood building here, the life-size, three-dimensional figure was being put through its final tune-up, its chin rising and hands gesturing in response to technicians, in preparation for shipment to the Hall of Presidents exhibit at Disney World in Orlando, Fla.
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The public is to get its first glimpse of “Robobama,” as it is known among some handlers, on July 4. The unveiling will be in a Disney World theater, alongside animatronic figures of every other president. As in the past, the program will end with each president nodding or turning toward the audience during a roll call, as if Mount Rushmore had suddenly come alive.