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As you are leaving Hotel Infinity, you see a bus load of engineers pulling up to rebuild the place. Just from looking at it, there are infinite rooms so it's a big place. One has come up with a plan to make the building shorter than two stories and just as small around at the base as one room. What is his plan?
Hint
Hey, it's Hotel Infinity. And like they always say: "Quantity over quality!"
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Answer
The builder says he wants the first room to be one story high, the second room is one-half story, the third one-fourth, and so on and so forth. Yes, it would be one tight squeeze. Here's a point to think about, though: There is a ceiling, but what room is it roof to?
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