Hilberts Hotel (see Wikipedia) contains infinitely many rooms and is used to demonstrate the strange properties of infinity. The opposite of Hilberts Hotel would be one with zero rooms, but then, can you still call it a hotel? No, then One Room Hotel a better candidate. As the name suggests, this hotel only has one room, but the guests (plural!) are of course not allowed to know that. As a hotel manager, you solve this by moving them at breakneck speed to the other facilities that your hotel has, such as the swimming pool. But keep them happy.
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One Room Hotel – Managing a one room hotel; How hard can it be?