I've seen this happen to people. I think it's in the eyes. Like, they just glaze over and don't look at anything specifically. To me, eyes are everything about a person, you can tell so much when you look at them.

I don't have a shrine or anything, but I have the shower. (Not the most eco friendly place, but hey, it works lol) For me, it's like as it cleans my body, it cleans my mind and calms me down.