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This paper reports on a study of human subjects with a robot designed to mimic human conversational gaze behavior in collaborative conversation. The robot and the human subject together performed a demonstration of an invention created at our laboratory; the demonstration lasted 3 to 3.5 minutes. We briefly discuss the robot architecture and then focus the paper on a study of the effects of the robot operating in two different conditions. We offer some conclusions based on the study about the importance of engagement for 3D IUIs. We will present video clips of the subject interactions with the robot at the conference.