The multiple viewpoints reminded me very much of 70s disaster movies eg Earthquake, Towering Inferno. Did Leiber in fact invent this paradigm? if not who did, or was it parallel development?
He stood up from his desk and walked over to the sleekly streamlined, room-long tide-predicting machine. Inside the machine a wire ran through many movable precision pulleys, each pulley representing a factor influencing the tide at the point on Earth’s hydrosphere for which the machine was set; at the end of the wire a pen drew on a graph-papered drum a curve giving the exact tides at that point, hour by hour. At Delft they had a machine that did it all electronically, but those were the feckless Hollanders![Much later...]So Fritz had no one at whom to direct his mocking laughter when the tide went down during the evening hours. And later, around midnight, he had only the tide-predicting machine with whom to share his rationalizations as to why the tide had gone down so far, according to the very few reports that were still trickling in. But that rather pleased him, as his devout affection for the long, sleek machine was becoming physical. He moved his desk beside her, so he could touch her constantly. From time to time he went to a window and looked out briefly, but there was heavy cloud cover, so his disbelief in the Wanderer was not put to the crucial test.