The legend returns

@ProPlayz22

10 ай бұрын

Wadi returns

@levigrant4458

10 ай бұрын

@@ProPlayz22you’re way off, but I respect the guess

I liked the example of breaking up and isolating the columns. Explaning it in a vacuum helped me understand how it works in real situations. Using a theoretical board started to break my brain

A very good explanation of zugzwang control. I really like the generalizations you made regarding zugzwang controlling threats. It's very nice when trying new board types. Great video!

finally new connect 4 stuff to fuel my obsession

Thanks for the most in depth connect 4 content I’ve ever seen. Gonna pwn my kids using these strategies.

this channel deserves wayyyyyyy more subs; ik it's a niche topic, but man do I love your videos? Do you like focusing on solved games, like checkers, 9 man morris, and connect 4?

@twoswap

10 ай бұрын

Thanks ^v^ I don't really care so much whether the game is solved or not, as long as it has complicated emergent behavior. Solved or not, there is so much that we still don't understand about connect 4. Just knowing who wins in any arbitrary position doesn't mean we actually have a sense of... - The structure of the game tree - The essence of the opening - Any sort of formal understanding of line transpositions, and isomorphisms between different situations - Generalizations to larger board sizes I've got at least somewhat satisfying answers for a number of these questions, which I hope to present and refine over the following videos. Let's say you sat down, and memorized the colors for every x,y coordinate in inches of the Mona Lisa. Have you seen its beauty? Not in the least. This is the equivalent of brute-force solving a board game. Knowledge and understanding are two different things. Revealing the structure of the emergent patterns of this formal system in particular is my goal, and beyond that I hope to continue by showing how these emergent behaviors are of the same form as those of music, reality, math, and all other complex emergent systems. In due time...

@shminge7779

10 ай бұрын

​@@twoswap that's a really beautiful motivation, one I share. Emergent strategy is such an interesting topic, if you have any other good resources on it I'd love to see. Other than that, any plans on doing things with the king of emergent strategy, Go? I imagine it might be a bit more difficult sadly.

@twoswap

9 ай бұрын

@@shminge7779 i am gonna make some go videos and hex videos sooner or later :) Ive thought about trying to formalize more complex group statuses (beyond just life death seki and ko, you can have double and triple and n-uple kos, ten thousand year kos, and all sorts of other stuff.) Quite curious how these life statuses can be taxonomized but I have yet to work it out on paper. I imagine there is some hierarchical structure they obey... Im 4kyu on ogs if you want to play some time, name is also 2swap

Really enjoying your videos, can't wait for the mystery last video and hope you keep them going (if there's any more to say)

i love those graphics man

Love this channel

I LOVE this holy shit! This guy is so smart he REFOUND algebra in connect four!

Great analysis bro. Learned a lot.

This channel is such a gem!

Thank you very much! This is extremely helpful!

The layers of abstraction here get crazy. I was halfway through when I remembered that the threats aren't actual pieces and this board was essentially the negative-space of the actual board

@twoswap

7 ай бұрын

yeah... I think I crammed too much into 15 minutes lol

Underrated channel for sure

@twoswap

9 ай бұрын

thank you 😊

This returning of Zugzwang reminds me of hackenbush

I think it could be interesting to consider a variant of the game where players are allowed to pass rather than being forced to play (if both players pass 3 times in a row without a break in between, it's a tie).

@twoswap

10 ай бұрын

I suspect ties would become the norm!

@nienke7713

10 ай бұрын

@@twoswap certainly one could still win by creating threat pairs at the very least, and passing can give the opponent a chance to build stuff up for their end goal; it would at least require a change in strategy I reckon

@twoswap

9 ай бұрын

@@nienke7713 definitely so- worth a try!

Any plans to do a from scratch analysis of a strategy game? I think it'd be really interesting to see your thought process throughout, and definitely educational as to what to look for as well. If you ever do, I've got some games that's I've almost completely analyzed if you need examples :)

@twoswap

10 ай бұрын

my planned list already eclipses the few videos I actually have made so far... I'm afraid not any time soon :/

@gamer-ph5on

7 ай бұрын

​@@twoswapdamn that sux but I enjoyed these videos and as a chess player I recognised zugzwang without you even mentioning it. Loved the vids

Bro everything went over my head 😭

Waiting for once an Infinite Size Board is introduced.

@twoswap

10 ай бұрын

Infinite connect 4 is actually proven to be a draw!

@youtubeuniversity3638

10 ай бұрын

@@twoswap And I look forward to hearing as much in the inevitable video made about it so as to make the comments shut up about it.

This is an incredible video! When can we expect the next video? (i'm asking so i can check back then :D)

@twoswap

10 ай бұрын

A few weeks, probably!

Nice!

I'm here for history

The notation with just the Zs, 0s, and #s, in the columns, seems like it should maybe be sort of a recurring pattern in the analysis of a variety of other games. It seems like it could be like, a family of games that should have a name, like nim, or hackenbush.

@twoswap

10 ай бұрын

Yeah, it definitely feels nim-ish! Worth checking out the sprage-grundy theorem if you don't know it. It states that you can reduce a certain class of games to nim. Unfortunately, this endgame mechanic isn't one of them (at least at first glance, without further reduction) since there is an asymmetry in that each player can only pop the letters of their own color from the bottom. The theorem disallows this sort of asymmetry.

One cannot simply "Control the Zugzwang"

@twoswap

10 ай бұрын

Speak for yourself :3

Isn't there a word for "evenness or oddness" - parity? To be fair, most people don't know that word so I would refrain from using it lol

@twoswap

10 ай бұрын

The title of my last video 😋

its pronounced sugswag