I've discovered a new form of torture!

Try playing chess in polar coordinates

7:09 Funny that each Omega is just more torture power. I would just sugest remis even though I'm on wining position jsut out of boredom.

Watch Magnus go “mate in 549? Rookie numbers.”

1:29 Yes more variants make it more interesting 3:40 Thanks for pointing out that sometimes, the 5D time- or your infinite space travel sometimes is just needed not to be good in the game, but have fun in the game from the choice freedom curiosity. Next time, you'll need 5D timetravel on a infinite chess board. 5:04 I know clocks are supposed to be somewhat about master-ness, but I find them just anoing. For playing with friends, you want fun together, and not chasing the clock, I have enough chasing the clock in work. So thanks for the "no clock" option, it basicaly makes the 4-th, (temporal) dimension of your game, also infinite. The 3rd Dimension is my distance form the playing board, with a magic remote control, I could travel infinitly far away inside the universe and still play. But I prefer ;-D 30 to 50 centimeters, siting in front of my computer. LOL.

A very unique way to get myself near infinity. And infinitys infinitly more infinite than infinity. And I love chess, so this is much less boring than pure math. At least I now know that a chess game could take at maximum a number a tiny bit smaller than Ω₁. I think you could archive the closest posible aproximation to Ω₁ by not doing 2D chess, but 3D chess and beyond. (of course, every dimensional direction streaches on into infinitly long rows of chess squares) With the added rule that each 2D slice of infinite dimensions chess board is independent, but each 2D slice has to be won seperately by the same player, (by making it the way that black king has to stay on a chosen 2D plane of existence until he would be checkmate on this plane, then and only then teleporting to another 2D existence plane) but on every existence plane, the black King is in a position with forced checkmate in some type of countable infinity moves. And every 2D existence slice has another type of countable infinity of mate in a countably infinite ordinal. By this, I will get a set of countably infinite amount of elements, with each element beeing an countably infinite ordinal, so instead of Ω₁ (the set with an INCOUNTABLY infinite amount of countably infinite ordinals) I get a type of Ω₁-imposter-set (my set is a set with an COUNTABLY infinite amount of countably infinite ordinals) only distinguished from the Ω₁ definition by "IN" in "incountably". So I think this is the closest one could get to Ω₁. Does anyone know how close I would get to Ω₁ by this infinite Dimension infinite board chess? Is the number I just described may be called Ω₀? But anyways I think Ω₁-imposter-set sounds more cool.

This is so cool.

Imagine you think youre about to win when a bishop is sniping you from 1E308 squares away

Stockfish, analysis

The maximum number of moves in a chess game,using the ''50 moves'' rule,is ONLY 5898,5 moves (which means that white plays the last move...!!!)!Where did 8848 moves come from...???!!!

My hrain burts

"Checkmate! " "But,You forgot this" That bishop at ZZD^ZA,10^1000

Hikaru: Ah yes, mate in ω⁴

erm... 2 times omega 1

15:19 bro really said “iraq’ed my brain with this one”💀💀

I think the central concept to grasp here is that any strictly descending sequence of ordinals must be finite, meaning that we will always reach checkmate in a finite number of moves

This is one of the only times I've seen someone run out of letters lmao

Imagine not seeing the blundered queen on the 3^103^2 Omega -6 position

being realistic, the 2 kings situation is mate in omega 1, cause its inifinit ad theres no way to actually checkmate, same with king and horse situation.

Infinite Chess is a cellular automaton, amazing

omega to the power of infinite omegas can also be written as omega to the tetration of omega

hoo boy

GG

LOL

Naviary

im playing u rn xD

A well known mating pattern in the higher levels

Omega doesn't mean infinite. It just means you can make as arbitrarily long as you wish. Granted, mate in 1 is already mate in omega if there is no clock

I think omega can be thought of as 'pick a number first, if your friend picks a larger number he wins'. No matter how large a number you pick he can just pick a larger number, and so the only way to win that game is to pick omega

Imagine playing this version of chess with the Devil. You can pick any arbitrarily large number, but he will always eventually win and claim your soul, no matter how large you go, it cannot possibly compare to literal eternity with him

this is so.. omega

God: "I sentence you to hell" Me: "What will my punishment be? Torture? Pain? Haunted by bad memories?" God: "I sentence you to play out a mate in Omega cubed infinite chess position"

oh can you now do a video on constructing a Turing Machine in chess?

You've gotta be kidding me How lucky Dude I've only seen the clone on rainbow runs

25:00 this is starting to feel like that one vsauce video about counting past infinity

Bro this video is probably one of the best i've ever seen, it makes my math knowledge increase on every second

Fights between outerversal characters be like

What i like about chess is that there is a solution with white always winning when playing the correct moves. I wonder when we will get there

Mate-in-Ω0; A Game for Immortals

Imagine blundering a chess game at Ω moves

I dont think you can extend the omega*2 scenario to omega*omega due to some unprotected pieces reachable by the rook.

The Guard looks like a cool piece

Yeah, but what about pawn promotion?

I just hate it when i blunder mate from the bishop on infinity Alef-1 50

I cant wait for the next video that will be talking about Omega 2 and eventually Omega Omega and then Omega Epsilon Epsilon 0

This is interesting and I enjoyed the video, but I don't think it really answers the question from the beginning, since none of these positions shown are possible in a real game. If you limit yourself to just the pieces from a standard starting setup, with these rules and perfect play, what is the longest game you can construct that doesn't go on forever? Have you looked into this? Thank you friend.

skaian ass video 👨‍🦯🤖😈

This could make some gruesome animated TV series. A real horror masterpiece. Chess pieces as characters being punished to suffer until the heat death of the universe

Omegod