SCIENTIFICAMERICAN  |  Math

Three of the Strangest Paradoxes in Mathematics

数学中三个最奇怪的悖论

Impossible Penrose triangle w/ orange blue and purple sides on brown background

Impossible Penrose triangle w/ orange blue and purple sides on brown background

2025-11-24  1529  困难
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Imagine you are traveling to a city and have forgotten to book a room beforehand. Fortunately, you come across a beautiful hotel named after the famous German mathematician David Hilbert, whose work you greatly appreciate. You step up to reception and see that the hotel has an infinite number of rooms: the room numbers correspond to the natural numbers 1, 2, 3, 4, ... without ever coming to an end.

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