Also, you have been turned into a worm.

Nah, you can always rely on the Hilbert Hotel for a good night's rest. Your room is down the hall, just keep walking, you'll find it.
- This hallway will always feel like home to me
- All you gotta do is ask everyone to scoot down a room (or two, not sure if Sis and the boulder are looking to share a room) and you'll find there's plenty of room.
  
  I won't have the heart to separate Sis and his lil boulder

Given an infinite number of rooms and guests, it is highly likely both he and the boulder are already there. So he should go to the hotel where he already is and has a room
Happy comes from hap, which is essentially luck. So happy can imply lucky or fortunate. If he gets to the hotel and finds he already is checked into his room in an otherwise full hotel, then he is indeed lucky and likely happy.
- An infinite set doesn't necessarily contain every number. And the Grand Hilbert Hotel is known for having a strict policy against Tartarus convict's
- Given an infinite number of rooms and guests, it is highly likely both he and the boulder are already there.
  I don’t follow. He’s clearly not there already, being at the switch instead of at the hotel.
  
  But if there are infinite guests, could he not have a reservation?
  
  A hotel room being "full doesn't necessarily mean the guest is in the room at that very moment, just that the room us reserved. And given infinite rooms it's basically guaranteed one of those reservations is for sisyphus

Not pictured but relevant: the lever controls a mechanism which exposes a switch to a subatomic particle- the switch is triggered depending upon the state of the particle, and will release a poison into a sealed box containing a cat. Depending upon the status of the cat (alive or dead), Sisyphus’s boulder will be diverted.

- https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel
  https://en.wikipedia.org/wiki/Ship_of_theseus
  https://en.wikipedia.org/wiki/Sisyphus
  
  "one must imagine Sisyphus happy", a quote from the last sentence in Albert Camus book the myth of Sisyphus (original title; "Le mythe de Sisyphe")
- Not op, no idea either. Best I can make of it is some sort of surrealist fifth level multi layered reference to several memes at once? The only one I know is the trolley problem one
  
  The grand hilbert hotel is a metaphor about infinity. If a hotel has an infinite number of rooms, it will have enough room for him. If every room is full, they can all still move up by one room number. Infinity means you can always shift everyone up by 1 room number.
  The ship of theseus is a philosophical question about whether it's still the same ship after having every board and nail in it replaced over centuries of repairs gradually replacing all of its parts.
  Asking if Sisyphus is happy is a reference to a famous Albert Camus (French absurdist philosopher) quote "One must imagine Sisyphus happy"
  
  If we are now considering philosophical intellectual exercises to be memes then this description is accurate.
  
  I love how you call them memes. These are things philosophers talked about long before the word meme had its modern day meaning, even before it was coined in the first place. But in a way, yes, they are all memes
- It's meaningless and unfunny.
  Sysiphus is cursed to forever till a boulder uphill.
  The Hilbert Hotel is a philosophical math idea. It has an infinite number of rooms, all full. If you another person wants a room, everyone with a room moves over one. Room 1 moves into room 2, etc. Room 1 is now empty for the new person, and the hotel again has an infinite number of rooms, all full. Just one larger infinite than before.
  The Ship of Theseus is a Greek story from Plutarch's Lives about a ship whose parts get replaced as they wear out. The question is - is it the same ship if it has none of the same parts?
  
  Humor is admittedly subjective, but I enjoyed the random mismatched and subversion of expectations enough for a chuckle. The trolly problem setup and pretty much every other detail being ultimately irrelevant is rather amusing in an absurdist humor (Hitchhikers Guild) or anti-joke (yo' Mama's so fat...
  
  ) kind of way.

Everyone in the hotel shifts two rooms down. Sis and boulder take rooms 1 and 2, now empty, respectively.
- You have made infinite people unhappy by forcing them to change rooms. But Sisyphus is happy so who cares about the rest of them
- but the room two rooms down is always occupied, for eternity. If you were to instruct everyone to pack their bags, exit in exactly 10 minutes and move two rooms up, you're always going to have people being late and not vacating the room, so you'll be dealing with people at reception complaining that they don't have a room, or that there's someone in their room. If you're telling people (or indeed boulders) to move into occupied rooms anyway, then just tell sis & boulder to move into the first two rooms without moving anyone. If you're not, then wait for someone to check out, as they'd have to wait for a nondeterminate length of time anyway.

"yes because he's rolling it down a hill for once"
someone on tumblr

Send him to the hotel and call ahead to ask the bellhop to ask the guests to all move to the room that's numbered twice the one they're currently staying in.
Nice hotel stays make most people at least happier, plus now half (minus one) of the rooms will have opened up for the evening!

What part of "one must imagine Sisyphus happy" isn't clear? You've got to do it!
- Bang a rang

Irrelevant Sisyphus is always happy because he's always working out.

It's okay, he'll always have Bouldy there to lean into.

If Sisyphus wants destruction, then I think diverting it is the best. Even though the ship has no original parts, it is still a ship, even if it is a model of the original ship.

Sisyphus would only be happy if he ends up on a game show where he can win a car if he picks which one of the three doors is correct. Sisyphus picks door number 1 and then the host reveals door number 3 as one of the doors that does not have the car. The host gives Sisyphus a chance to change his pick to door number 2. Does Sisyphus change his pick?
- Sisyphus could try to change his pick, but he could never get there. He could only change half his pick, then half his remaining pick, then half the remaining remaining pick, and so on until nearly all his pick is changed. It could never be entirely changed though. It also comes with free choice of topping.
  
  Zeno says hi
- He doesn't change his pick. He just divides his decision into an infinite field of points, moving half of them to door #2, allowing him to fully choose both doors.