How An Infinite Hotel Ran Out Of Room

If there's a hotel with infinite rooms, could it ever be completely full? Could you run out of space to put everyone? The surprising answer is yes -- this is important to know if you're the manager of the Hilbert Hotel.

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Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

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Animation by JD Pounds and Jonny Hyman
Thumbnail by Ivy Tello
Music by Jonny Hyman and from Epidemic Sound and E's Jammy Jams (Hotel Lavish - Radio Nights, Steps in Time - Golden Age Radio, What Now - Golden Age Radio, Book Bag - E's Jammy Jams, Arabian Sand - E's Jammy Jams, Firefly in a Fairytale - Gareth Coker)
Written By Derek Muller and Alex Kontorovich
Sound Design by Jonny Hyman

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[ibizenco]

Hotel manager: "You want a room, sir? No problem. The last room at the end of the hall is still free. Just follow the hall and you'll get there. Eventually."

[ClemensAlive]

All I care about is the infinite buffet...

[theragingranga]

You think THAT'S bad? Let's assume 1% of the population is disagreeable. That means an infinite number of customers will refuse to leave their room and move to another one.

[bonehair]

"You have to go to room 100 quinttillon"
"you serious"

[parkermccarthy]

imagine checking into a hotel at 5 am and realizing you have to walk to room 900 quadrillion

[neku-fndq]

Dont you hate it when you're working as hotel manager and then infinite amount of busses full of infinite people decided to use your hotel

[mpfkiqf]

"may i use the bathroom?"
"yeah its at the end of the hall way"
"motherfu-"

[chiraggowda]

Finally, a job where I can use my PHD in math. A hotel manager.

[pandaescarlate]

I love how mathematicians literally need to invent a problem that doesn't exist

[MrScientific]

Please add an extra door in between the wall of rooms. So it's easy to move.

[Wchicken-gudc]

“you have to move double your room number” that one guy with 18373517823883618263x2 trying to solve the problem

[argentinman]

Imagine being on the 374, 395, 106, 285th bus and your the 206, 305, 936, 253, 194th passenger 💀

[NeerajSingh-jfmz]

Imagine being so unlucky that you don't even get a room in an infinite hotel.

[TheWanderer_]

“An infinite number of infinite busses.”
- “Dear god.”
“But now a big bus pulls up”
- “No.”

[aliasboby]

For some reason i enjoy watching this everytime it pops up on my feed

[cocnut]

This video actually gave me a headache I’m being completely serious

[Idek]

Dude, the people staying in that hotel must be pissed having to move so much.

[Waterwolf]

Imagine disturbing an infinite amount of clients just to fit one more person in the hotel

[ShepardOG]

These videos make me feel stupid but they're so fascinating and entertaining

[prooocloudyoreal]

"Wanna know ny friends full name?"
"Ok"
"His name is etc."
"WHAT DO YOU MEAN ETCETERA"