The Kam Urog Shrine puzzle is considered The Legend of Zelda: Breath of the Wild's most challenging puzzle to solve near Kakiriko. Featuring a massive room with rotating objects and structures, it can be overwhelming, and even deadly.
Upon entering the room head left. What you want to do is position yourself to be lifted up by one of the rotating structures. Once you do, you can jump to a rotating gear at the upper center of the room.
The next step can be challenging. What you want to do is located the one rotating structure that has stairs on it. The goal is to hop on it as it approaches you. If you make it onto the platform, move to the upper edge so you can transition to the top where the stairs are as it rotates to the top of the room.
If you do this correctly, you can use the stairs to reach another level of stairs at the top of the room. The shrine exit is above these stairs.
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