In a magical forest, there is a clearing with three identical, indestructible statues: Amani, Bijan, and Chiyo. These statues have a spell cast upon them: if a person approaches and tells a statue their deepest secret, the statue comes to life and mirrors the person's movements for exactly three minutes before returning to stone. During this time, whatever the animated statue sees is also visible to the person who awakened it. One day, Ravi, Keiko, and Umberto each tell their deepest secret to a different statue. Ravi awakens Amani, Keiko awakens Bijan, and Umberto awakens Chiyo. All three statues come to life at the same time. Ravi, Keiko, and Umberto then each move in such a way that they can see exactly one other person through the eyes of their statue without being seen themselves. How did Ravi, Keiko, and Umberto position themselves and the statues, considering the statues are in a triangular formation? Provide a brief response.
For Ravi, Keiko, and Umberto to position themselves so that they can each see exactly one other person without being seen themselves, they need to use the statues' positions and the spell's property to their advantage. Here is the step-by-step reasoning:

1. Since the statues mirror their movements, the person must stand in a position relative to their statue such that their line of sight is directed toward another person via the statue.

2. Each person needs to be out of the direct line of sight of the other two people to ensure that they themselves are not seen.

3. Ravi, who awakened Amani, could move to a spot where he is behind his statue relative to the center of the triangle. From this position, he could see Keiko through Amani's eyes, who would be in Amani's direct line of sight.

4. Keiko, who awakened Bijan, would need to take a position behind her statue as well, in such a way that she could see Umberto through Bijan's eyes. Therefore, she would not stand directly opposite to Ravi; instead, she would position herself off to one side, ensuring Bijan's line of sight is toward Umberto, not Ravi or Amani.

5. Umberto, who awakened Chiyo, would mirror this strategy by standing so Chiyo's line of sight is directed toward Ravi, ensuring he could see Ravi while Keiko cannot see him.

6. In order to ensure that no one can see the other directly, the only viable configuration is that Ravi is positioned so that when looking through Amani's eyes, he can see Keiko, Keiko is positioned so that through Bijan's eyes she can see Umberto, and Umberto is positioned so that through Chiyo's eyes, he can see Ravi. Each statue acts as a visual barrier for the person controlling it to the third person. Thus, they create a cycle of visibility where Ravi sees Keiko, Keiko sees Umberto, and Umberto sees Ravi, with none of them being able to see the person looking at them.

In summary, Ravi, Keiko, and Umberto position themselves behind their respective statues, with the statues' lines of sight directed so each person can see one of their peers through the animated statue, forming a cycle of one-way visibility.