If you've ever been staying in a hotel and suddenly the hotel manager asks you to move rooms, you might find it pretty damn annoying. If it happens twice you might find it damn near intolerable. Well let me tell you Hilbert's Grand Hotel is a nightmare. I don't know where he gets off calling it "Grand". Comings and goings all night and the number of times I was asked to move rooms, I can't even tell you.
—Online review of Hilbert's Grand Hotel

External Links

• Wikipedia: Hilbert's Paradox of the Grand Hotel
• The Infinite Pixel Screen
• Vi Hart: How many kinds of infinity are there? (video)
• Welcome to the Hotel Infinity! 1991 Work of fiction

See Also

• Unbounded recursion
• Space-Filling Curves
• Hilbert Curve