In a spacious, circular room with mirrors on all walls, Neela is standing near the center facing north. A hat stand with several colorful hats is placed directly to her south. On Neela's eastern side, there is a large, opaque vase that is taller than the hat stand but shorter than Neela. Between Neela and the northern wall, her friend, Kwame, is looking at a painting with his back towards her.

To Neela's northwest, her colleague, Liora, is sitting and facing east, which means Liora can look directly at Neela, the vase, and the hat stand by looking at the mirrored wall to her east. However, the vase obstructs Liora's direct line of sight to the hat stand.

Zhen, another colleague, is walking around the perimeter of the room to Neela's southwest. He is moving clockwise and is currently facing the western wall, meaning he is looking away from Neela, the vase, and the hat stand but is able to see their reflections in the mirror.

Assuming none of the room's occupants move from their positions, but they can turn their heads and look around without changing the direction their body faces, how does the spatial arrangement and the mirrored walls affect what each person can see directly or via reflections? Consider how the reflections would interact based on their positions and the objects within the room.
Considering the room is circular with mirrors on all walls, Neela, who is in the near center facing north, can see the reflection of the hat stand directly to her south by looking at the mirrored wall in front of her (the northern wall). She can also catch Kwame's reflection since he is between her and the northern wall, though she would need to slightly turn her head left or right to see him, as he is not directly behind her. She cannot see Liora or Zhen directly, as they are not in her direct line of sight, but their reflections will be visible in the peripheral parts of the northern mirror she is facing, provided she turns her head far enough to either side.

Kwame, with his back facing Neela, cannot see her directly as he is looking at a painting. However, he can see her reflection if he looks into the mirror on the northern wall, which is in front of him.

Liora, sitting to the northwest of Neela and facing east, has a direct view of Neela, though her view of the hat stand is blocked by the vase. However, because of the mirrored wall to her east, she can see the reflection of the hat stand that is being blocked in direct sight.

Zhen, walking in the southwest region of the room, is currently facing west and thus cannot see Neela, the vase, or the hat stand directly as they are located to his northeast. However, Zhen can see their reflections in the western mirror he is facing. If Zhen continues moving clockwise, once he reaches the southernmost part of the room, Neela will be directly to his north, and she would be visible both directly (by glancing over his shoulder) and in the mirror before him. The hat stand, on the other hand, would not be directly visible to Zhen yet, as the opaque vase will be blocking it until he moves further east, but its reflection can still be observed in the mirrors.

Each person's view will be made up of a combination of direct line of sights and mirrored reflections, which together give them a more comprehensive understanding of the positioning and actions of the other occupants in the room, despite the vase blocking views or not facing one another. The use of the mirrors essentially allows them to see certain parts of the room that would otherwise be obstructed from their direct line of sight, providing visual information that enables them to infer the locations and actions of everyone else.