Up until the current Dalai Lama fled to India as a result of the 1959 Chinese invasion of Tibet, the Potala Palace had been the Dalai Lama’s residence since the late 17th century. Located in the Tibetan capital of Lhasa, the palace was built on the side of a mountain, giving it stunning views; it is 13 stories tall and has more than 1,000 rooms and 10,000 shrines.