Parity - Connect 4 Strategy

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  • Опубліковано 27 вер 2024
  • Connect 4 is hard.

КОМЕНТАРІ • 160

  • @Happy_Abe
    @Happy_Abe Рік тому +39

    Should submit this to SoME if it’s not already. No crazy deep math, but mathematical insights behind such a classic game are deserving of it!

  • @sorin_markov
    @sorin_markov Рік тому +143

    Excellent video! Explaning why evens-odds works has always been one of the hardest bits about teaching the game to new players for me, but this put it in a very logical way

  • @Justawoodsawyer
    @Justawoodsawyer Рік тому +21

    I’m learning connect 4 the biblical way before even knowing how to play. Great stuff!!

    • @mrdrsquid4061
      @mrdrsquid4061 Місяць тому

      This comment is stupid because connect four isn’t a game you have to learn

  • @LordDecapo
    @LordDecapo Рік тому +25

    This reminds me of a competition on the Open Redstone Engineers Minecraft server... a few years ago we had a competition to see who could build the best connect 4 AI. They played in a tournament. Was super fun and people came up with all sorts of algorithms.

    • @godowskygodowsky1155
      @godowskygodowsky1155 Рік тому +1

      Isn't the game solved, though? You could make a bot that plays the perfect strategy, and that always wins with red.

    • @LordDecapo
      @LordDecapo Рік тому +5

      @godowskygodowsky1155 yes, but can you make a circuit in redstone that actually makes those moves? We had a time limit to make moves. So wasn't able to really do anything that crazy. Almost everyone came up with a unique idea based off some random old tech. Was amazing to watch..
      Except my build. Did great!... but I made it a connect 3 by accident, so it thought it won and gave up... I lost xD

    • @godowskygodowsky1155
      @godowskygodowsky1155 Рік тому +3

      @@LordDecapo Oh, you were supposed to do it in redstone. I thought it was a coding competition.
      Were you allowed external tools? If so, perhaps you could use a logic synthesis tool or some other specialized compiler to convert code to circuits. It'd be nontrivial, though.

    • @LordDecapo
      @LordDecapo Рік тому +4

      @godowskygodowsky1155 there has been several attempts at getting that kinda synthesis working. Only 1 attempts got good enough to match human redstone [that I know of] and it was abandoned..
      Also only worked on small sections.
      The hardest part is optimizing for the mechanics of minecraft, like using comparators and signal strength. [What mine was based on]

    • @thefandit
      @thefandit Місяць тому

      And here we have a wild Capo in it's natural habitat.

  • @connorself
    @connorself Рік тому +11

    TIL there are openings to connect 4, amazing video all in all

  • @odomobo
    @odomobo Рік тому +35

    This video is one of my favorite things - the application mathematical invariants to logic puzzles. It's such a powerful tool, and you explained it so clearly!

  • @ourtube1128
    @ourtube1128 Рік тому +32

    Brilliant video! Connect four is such a nice way to see clear application of math in board games. I never knew that either color would prefer odd or even threats, let alone that odd threats carry slightly more weight. Very logical when said though! I'm looking forward to learn more! :D

  • @Beybladelouser
    @Beybladelouser Рік тому +16

    beautiful video, you're getting my combinatorial game theory brain working real good

  • @MilesIsReal
    @MilesIsReal Рік тому +9

    In the past few months ive been diving into the theory and concepts behind concept 4 by myself using an online solver. I've individually discovered parity (and gave it that same name when telling others about it).
    To me it's a relief to see there's more information about this out there than just me at my computer. Great video and I'd love to see more of this!

    • @sorin_markov
      @sorin_markov Рік тому +1

      Feel free to join the community! We have lots of people who know a lot about the game and I'm sure could show you some things

    • @MilesIsReal
      @MilesIsReal Рік тому

      @@sorin_markov no but like where--
      also ive memorized basically all the relevant theory and feel like theres not much more to do

  • @synisterfox
    @synisterfox Рік тому +9

    I love this kind of strategic theory crafting. Very well articulated and easy to understand. Great video!

  • @timemasterdm2462
    @timemasterdm2462 Рік тому +8

    I have never played Connect 4, I have never shown interest in Connect 4. Even then, this video was amazing. Can't wait for more.

  • @Buchcase
    @Buchcase Рік тому +4

    Very high quality video! Halfway through I scrolled down to subscribe and was shocked that it didn't have hundreds of thousands of views. I would also like to compliment you on your thumbnail + title choice as I don't see people do that very often.

  • @mihaelriver4383
    @mihaelriver4383 Рік тому +4

    Nice video. I especially liked when you talked about what two odd threats can do for yellow

  • @hunterchristian8372
    @hunterchristian8372 Рік тому +1

    I only use UA-cam for research on astrophysics and Warhammer 40,000... Yet this video appeared on my recommend, and you now have a lifelong subscriber.

  • @Ghav
    @Ghav Рік тому +1

    Wow, very well explained. Surprised this channel hasn't attracted more attention yet.

  • @Jean-dd1sl
    @Jean-dd1sl 28 днів тому

    i came to these videos for math to help with game design but now i have fun new ways to bully my cousins at thanksgiving

  • @WontTrout
    @WontTrout Рік тому +9

    Toughourly satisfied and entertained. Excited for the next one :)
    I will now crush all of my childhood bullies who used to torment me by beating me in Connect 4 repeatedly.

    • @twoswap
      @twoswap  Рік тому +6

      Use this weapon with caution friend. We learn to fight so that we don't have to.

  • @Pshady
    @Pshady Рік тому +2

    The odd even end game strategies are something I will have to work on to continue to crush the children I play against.

  • @The_Human_Tripod
    @The_Human_Tripod Рік тому

    I don’t even remember when is the last time I played connect 4 but when I saw this my monkey brain instantly went full focus

  • @janewan1196
    @janewan1196 Рік тому +3

    I love that Connect 4 has theory behind just like chess! I'm so excited to see more of your videos on this game.
    Correct me if I'm wrong, but doesn't the control of the Zugzwang come down to the parity of the rows of the threats? If the threats are either both on even rows or both on odd rows, then yellow will win, but if one threat is on an even row and the other is on an odd row, then red will win.

    • @twoswap
      @twoswap  Рік тому +3

      For the most part, yes. But it can get complicated. For example, a threat on row 2 and row 5 by the same player exerts twice as much control over the Zugzwang as a threat on 3 and 6. We'll dig into things like that when we generalize this theory next time :)

  • @manbuckets
    @manbuckets Рік тому

    Never knew I’d see such an interesting video about connect 4!

  • @michaelbrocks169
    @michaelbrocks169 Рік тому +1

    Very cool, I had no idea Connect 4 had such interesting strategies!

  • @olliebop1
    @olliebop1 Рік тому +2

    very helpful and informative!

  • @ethanhoerl
    @ethanhoerl Рік тому

    needed this video back when I was losing to my gf in connect 4. Now she's my ex but at least I'll never lose in connect 4 again.

  • @Radiant3
    @Radiant3 Рік тому +19

    Good video. The parity rules can be tricky to explain, but this framed the basics of them in a very intuitive and concise way.

  • @Macrotrophy-mq3wh
    @Macrotrophy-mq3wh Рік тому +1

    Me and my friends play tic tac toe almost everyday no strategy then slowly over time we invented strats eg double win where there are 2 ways to win so its inevitable and a hole situation where you have to go somewhere bc there is no space left to go I didn't know that these had actual names I invented a strat called towering where u make towers mindlessly for the first 5-10 moves this often ends with complicated games and interweaving double wins and a square can be extremely powerful if exposed to empty spaces as it can make threes effortlessly and can easily create double wins if the opponent isnt careful and many more methods I love this video bc it gives an actually good name for what we call a hole situation (parity) thanks

    • @user-dh8oi2mk4f
      @user-dh8oi2mk4f Рік тому +1

      Tic tac toe? Do you mean connect 4?

    • @Macrotrophy-mq3wh
      @Macrotrophy-mq3wh Рік тому

      I meant connect 4 lol I vividly remember making sure I didn't type tic tac toe but I guess just thinking about it made me do it unconsciously

  • @Thiscreeper
    @Thiscreeper 10 місяців тому +1

    Its halloween, and these 3 words will spook you out. MiNorr thREAaathhSSs!!! OpENiNgsSSSs!!1! TiMee ConTTrrroLlll!!!1

  • @3possumsinatrenchcoat
    @3possumsinatrenchcoat Рік тому

    3:23 counterpoint: it's connect _four_ not connect _five_ . yellow's win is invalid. :p
    (this is a very interesting video! glad it crossed my feed, it's well put together and your explanations are easily understandable. definitely subscribing!)

  • @aouerfelli
    @aouerfelli Рік тому

    Thank you very much for this concise explanation.

  • @SpencerTwiddy
    @SpencerTwiddy Рік тому +1

    More of these, quick!!

  • @thechessfish
    @thechessfish Рік тому

    You snagged the sub of a chess player - can't wait for the next video!

  • @jkid1134
    @jkid1134 Рік тому

    These are just spectacular.

  • @gamingwaht
    @gamingwaht Рік тому +2

    As a cuber i thought theres gonna be very special impossible looking cases

  • @austeyen5628
    @austeyen5628 Рік тому

    excited for more

  • @alikaperdue
    @alikaperdue Рік тому +2

    Just admit it. Odd numbers don't exist. Just an odd collection of things known by what they haven't and aren't.

    • @twoswap
      @twoswap  Рік тому

      6321 is a pretty odd number

  • @eyan2628
    @eyan2628 Рік тому +1

    Very good video! Where can I learn some basics aside from your other two videos? Also, what's sites do you play on and what site do you use in your videos?

    • @twoswap
      @twoswap  Рік тому +1

      I usually only play in discord servers with other semi-serious players and on flyordie here and there

  • @andrewadams530
    @andrewadams530 Рік тому

    I just watched all your Connect 4 videos. Very interesting. I'd love to see one on openings.
    One piece of feedback. In the first example of the Candle Sticks Opening, you use the 0 to indicate the place that red needs to NOT play to win. In the next example, you use the 0 to show where red SHOULD block, to not lose the game. This inconsistency in the symbols used lead me to need to rewatch the examples a few times to understand. This should be an easy fix if it's something you focus on moving forward
    Looking forward to the next video!

    • @twoswap
      @twoswap  Рік тому +1

      Yeah, perhaps I should have notated that a bit more explicitly. 0 means tie, + means win, - means loss. So in that case, red could have won by not playing the 0 at first, but then after committing to the tying line the best thing to do is tie instead of lose.

    • @andrewadams530
      @andrewadams530 Рік тому

      @@twoswap ahhhhh that does make sense. Yea maybe right at the start before you start going through examples you could do a short key for people such as myself who are newer.

  • @brennanruiz1803
    @brennanruiz1803 Рік тому

    “You can always deterministically know the result of the game once you reach the endgame.”
    Ah, but consider, I’m stupid and miss obvious threats in Connect 4

  • @SimpleFlips
    @SimpleFlips Рік тому

    this is hype

  • @angstybeans1194
    @angstybeans1194 Рік тому +1

    Hey mate. Like naughts and crosses, connect 4 is a solved game. Once you learn perfect strategy, you cannot lose as the first player. A good player will not provide easy opportunities to win before the final column.

    • @twoswap
      @twoswap  Рік тому +1

      "Learning perfect strategy" takes perhaps longer than a lifetime. You can't just memorize an entire weak solution as red, it is simply too large.

    • @FRAXMET
      @FRAXMET Рік тому

      ​@@twoswapfalse

    • @sorin_markov
      @sorin_markov Рік тому

      @@FRAXMET As someone with hundreds of hours in the game, 2swap is absolutely right. Maybe not "longer than a lifetime," but many years of committed practice and study, for sure.

  • @sledgehammer5033
    @sledgehammer5033 Рік тому

    awesome video, even considering Connect 4 is a solved game

  • @apancake5139
    @apancake5139 11 місяців тому +1

    i would love this video but being colorblind made it very difficult to understand

  • @bond6677
    @bond6677 Рік тому

    Keep the videos comming!! 👍

  • @zapking8209
    @zapking8209 Рік тому

    I figured this out on my own after playing connect 4 like 15 times a day on game pigeon with my friends, now none of them nor my family can beat me… they better not find this video

  • @brekreney5734
    @brekreney5734 Рік тому

    tysm for this video im learning connect 4 theory so i can beat my friend

  • @rubyyy_cooper
    @rubyyy_cooper 11 місяців тому

    Alex the GOAT

  • @decencyman4552
    @decencyman4552 Рік тому

    I will watch the next video. 👌

  • @Bokujitsu
    @Bokujitsu Рік тому

    Will there be more of these videos? I'd love to see a video go more in depth into the common openings.

  • @mrmacross
    @mrmacross Рік тому

    As someone who grew up with Connect Four in the 80s, yellow triggers me. Why'd they change it from black?

    • @twoswap
      @twoswap  Рік тому +1

      Well, im glad they did for the sake of my pretty black background 😅

  • @neioni
    @neioni Рік тому +1

    oh this is neat

  • @DMack6464
    @DMack6464 Рік тому

    Its almost 1am and I'm watching scientific connect four

  • @memcgee7832
    @memcgee7832 Рік тому +2

    do you know any good websites to play connect four?

    • @twoswap
      @twoswap  Рік тому

      Good... no.
      There's papergames and boardgames.io, but they are both pretty buggy with bad UI. Ei8ghts sorta works and has cash prize tournaments now and then, but there is no playerbase and you have to sign up for some crypto wallet nonsense to get an account. FlyOrDie is ugly and hard to use but that's where the expert players hang out.
      Maybe I'll just make a server which doesn't suck... someday

    • @sorin_markov
      @sorin_markov Рік тому

      @@twoswap I would hope there's already a server which doesn't suck, at least on Discord 👀

    • @twoswap
      @twoswap  Рік тому

      @@sorin_markov Hehe you are more than welcome to post it and i'll pin

    • @sorin_markov
      @sorin_markov Рік тому

      @@twoswap I tried to when replying to someone else earlier, but I think it got auto-deleted because of the link. I'll try again

  • @brekreney5734
    @brekreney5734 Рік тому

    Hey thanks for the video. do you have any recommendations for online multiplayer connect 4 sites?

    • @twoswap
      @twoswap  Рік тому

      Ill start putting links in the descriptions

  • @Purpial
    @Purpial Рік тому

    YOOO AMAZING VIDEO

  • @Nutral1234
    @Nutral1234 Рік тому

    Incredible videos, you should add a number to the title so it's easier to identify them

    • @twoswap
      @twoswap  Рік тому +1

      I think I will!

    • @Nutral1234
      @Nutral1234 Рік тому

      @@twoswap Thank you for that and for the videos!!!

    • @twoswap
      @twoswap  Рік тому +1

      The views plummeted when I did lol
      I always thought youtubers were exaggerating when they said the algorithm works in mysterious ways. These past few days have been a bit of a culture shock haha

    • @Nutral1234
      @Nutral1234 Рік тому

      @@twoswap That is such a shame, but i get that people don't like hopping on the "middle" of a thing, so it makes sense that if they see a video that its like part 3 of a series that they would not open it :(

    • @twoswap
      @twoswap  Рік тому +1

      @@Nutral1234 I think I'll just put it in a playlist so the ordering is clear

  • @mrbeince8k303
    @mrbeince8k303 Рік тому

    cool

  • @Meklein
    @Meklein Рік тому

    It's crazy that I paused to think "wait, doesn't that mean red wins in games where they have row 1/3/5 threats and yellow wins with row 2/4/6 threats" right before you went and said it

    • @ProPlayz22
      @ProPlayz22 Рік тому

      This is a great video and will help me achieve more wins in the connect 4 server. Thanks, 2swap.

  • @braveshine2579
    @braveshine2579 Рік тому

    done

  • @zappercrab9938
    @zappercrab9938 Рік тому

    Cool video but am I crazy or is that green and not yellow, am I colour blind

  • @canaris261
    @canaris261 Рік тому

    Could ranked connect 4 (with an elo system, for example) ever be possible? Because it is theoretically solved

    • @twoswap
      @twoswap  Рік тому

      There are ranked servers online. None of them use ELO, although I don't see a technical reason why you couldn't. You would probably want to modify it slightly to account for player 1 advantage, but it's definitely possible.

    • @canaris261
      @canaris261 Рік тому

      @@twoswap How would an anti-cheat for connect 4 work? I feel like it would be MUCH more difficult to detect engine moves in connect four compared to chess

    • @twoswap
      @twoswap  Рік тому

      In an automated fashion, yeah that would be very hard. Human experts can typically spot a cheater though. During the game, way more entropy is contributed by player 2 than player 1 since p1 is much more often forced, so usually the giveaway is in games where the cheater plays as p2. Engines usually don't know how to play in a creative and confusing fashion to throw player 1 off, but instead just try to lose as late as possible. However these lines are few in number and usually pretty simple to defend against. So the typical cheater will play perfectly against complex openings as player 1, but play naive openings as player 2, and still lose (always on row 5.)

  • @MilesIsReal
    @MilesIsReal Рік тому

    You should add text that says whose turn it is

    • @twoswap
      @twoswap  Рік тому

      Zugzwangometer coming soon!

  • @WilliametcCook
    @WilliametcCook Рік тому

    Could use some light background music

    • @twoswap
      @twoswap  Рік тому

      In the works for next time!

  • @doggo00
    @doggo00 Рік тому

    Tip: Don't open the subtitles at the start of the video

  • @campbellmorris565
    @campbellmorris565 Рік тому

    I'm sorry what? Red first? Is this just some crazy thing I've never heard of, or have I been playing wrongly with yellow first all my life?

  • @MurphyMcgee322
    @MurphyMcgee322 Рік тому

    Is this brain david Gilbert? Voice is dead on

  • @RedOctober_
    @RedOctober_ Рік тому

    Is connect 4 a drawn game?

    • @twoswap
      @twoswap  Рік тому

      Player 1 wins under optimal play!

  • @youtubeuniversity3638
    @youtubeuniversity3638 Рік тому

    So red has advantage?

    • @twoswap
      @twoswap  Рік тому +1

      Yes, but that's not strictly a result of parity mechanics. As an example, boards with a height of 6 and width of 9 favor yellow, even though the parity of the height and width match the standard board.

    • @youtubeuniversity3638
      @youtubeuniversity3638 Рік тому

      @@twoswap Now I wanna know about generalizing Connect 4 Strategies to arbitrary X by Y board sizes now!

    • @twoswap
      @twoswap  Рік тому +1

      We will touch on that next time :)

    • @youtubeuniversity3638
      @youtubeuniversity3638 Рік тому

      @@twoswap Noted!

  • @John-gl5nh
    @John-gl5nh Рік тому

    🙂 *promosm*

  • @baxtersermania7297
    @baxtersermania7297 Рік тому

    🙃 'Promosm'

  • @Veyzo
    @Veyzo 7 місяців тому +1

    🎯 Key Takeaways for quick navigation:
    00:00 *🧠 Understanding major threats in Connect 4 is crucial for winning, and today's focus is on leveraging threats effectively.*
    00:57 *🔄 Parity, referring to even-ness or odd-ness of a number, plays a key role in analyzing Connect 4 positions, as players alternate turns in a total of 42 moves.*
    01:53 *🏆 The position of threats matters; a player having threats on rows corresponding to their parity gives a significant advantage.*
    04:03 *🤝 Threats on rows with opposite parity can undercut each other, potentially leading to a tie, showcasing the importance of threat placement.*
    05:27 *⚠️ Careful consideration of threat placement is crucial during the game's construction, as demonstrated in the Candlesticks opening example.*
    06:49 *🤔 Players are favored when threats align with their favored parity rows, but zugzwang situations can arise, forcing suboptimal moves.*
    08:39 *🔄 Understanding zugzwang is vital; controlling zugzwang can give a player a strategic advantage in Connect 4.*
    10:28 *🧩 In Connect 4, players in zugzwang gain an advantage by having odd row threats, which are slightly stronger than even row threats.*
    10:54 *🤯 Knowing the open threats and their row parities allows deterministic prediction of the game's result without needing additional information.*
    Made with HARPA AI

  • @notthat1901
    @notthat1901 Рік тому

    Why do you say "he"? As if all connect 4 players are men

    • @sorin_markov
      @sorin_markov Рік тому

      Because the generalized pronoun in English is "he"

    • @notthat1901
      @notthat1901 Рік тому

      @@sorin_markov I don’t know who told you that, but they were wrong (see what I did there?)

    • @sorin_markov
      @sorin_markov Рік тому

      @@notthat1901 The person who told me that was my college English professor. Also literally any dictionary. Yes, "they" is becoming more accepted as a generalized pronoun when the gender is unknown, but "he" is more widely-accepted and has been for centuries.

    • @notthat1901
      @notthat1901 Рік тому

      @@sorin_markov I don’t think he is more widely accepted and probably hasn’t been for the past decade or two. They isn’t used just when the gender is unknown, it’s used when the gender is unspecified. When talking about an unspecified “someone”, I don’t see any reason to say he over they. Languages change.

    • @sorin_markov
      @sorin_markov Рік тому

      @@notthat1901 Well regardless of what you think, the generic "he" has been used as a general pronoun for a very long time and is still accepted by grammaticians. Unknown gender and unspecified gender mean the same thing in this context.
      And on a broader point, this is just a really argumentative thing to bring up in a comment. I trust that you're knowledgable enough to already know these basic rules of grammar, so you're just looking to start a fight over nothing.

  • @amirPenton
    @amirPenton Рік тому +32

    This is awesome. The content sounds exactly like the content in courses I took in college, and I have no doubt this is what it would look like if we covered connect four strategy.
    On top of that, the animations are very well done - informative and very pleasing to look at. Much higher quality visuals than I’d ever expect to see in a university course.
    Subscribed, can’t wait for the next one.

  • @foxdru1315
    @foxdru1315 Рік тому +1

    Ok so I’ve never even thought about learning connect 4 from yt but I used to play with my dad as a kid and I’m pretty good bc most of my friends can’t beat me even once and it’s like the only skill I’ve ever had in anything and I love the game so much

  • @CrittingOut
    @CrittingOut Рік тому +2

    I didn't realize people had a community for this game, I would have expected that since the game is solved (player1 has forced win using perfect play) that it would never have any videos like this, not too into the game but interesting to see.

    • @sorin_markov
      @sorin_markov Рік тому +1

      It's a difficult enough game to play perfectly that only a few people have achieved that or even come close. It takes a lot of practice and study of concepts like this

  • @cephalopodlor
    @cephalopodlor Рік тому +3

    best connect 4 videos on youtube, can't wait for more :]

  • @ZeltonXD
    @ZeltonXD Рік тому +1

    Hope i see this channel grow, this is a great video of quality alike to 3 blue one brown or Veritasium

  • @Nonkel_Jef
    @Nonkel_Jef Рік тому +1

    What's the best place to play connect 4 multiplayer?

    • @twoswap
      @twoswap  Рік тому +2

      FlyOrDie once you are already at least intermediate. Any random site like papergames is sufficient to get familiar with the basics.

  • @repacharge431
    @repacharge431 Рік тому +1

    Incredible video. Only a matter of time until you have 1 million subscribers

  • @telph3223
    @telph3223 Рік тому +1

    Ive been waiting for a video like this for a long time. This is really the best connect four strategy video out there.
    Before this video, the only way to find this information was by reading the james dow Allen's book or by searching the corners of discord for nerds.

  • @darksentinel082
    @darksentinel082 Рік тому

    The algorithm brought me here, and I know very little of the game’s strategy beyond what’s directly in the video, but I think I see a trick here. Say Yellow has two threats in two different columns (both empty for clarity’s sake), one on row 3 and one on row 5. Neither are good parity for yellow. But still, red is essentially out of luck. There’s four spots of free space, and since all’s left is two columns, it’s red’s go. After four turns, red will have no choice but to tread on the Danger Spaces, leading to yellow winning. Having an even amount of free space below/before two of your threats at the start of your opponents turn seems to be a key for setting up… whatever that Z word is you mentioned, I already forgot it. Maybe this is explained in previous videos, I dunno.

    • @twoswap
      @twoswap  Рік тому +1

      Spot on! This is covered in the next video.

  • @petercohen3966
    @petercohen3966 Рік тому

    It would be great if you sourced your work. Whether you used Keith Galli's Odd Even Strategy video or whether you followed Victor Allis's solution to connect 4, papers, etc.

    • @twoswap
      @twoswap  Рік тому

      I only intend to cover stuff thats common knowledge as well as my own original discoveries. Those who want to read victor allis can do just that :3
      Although I will talk about claimeven. I'll be sure to mention the paper in which the term was coined.

  • @TWPO
    @TWPO Рік тому +1

    Hi, please consider using different colors (or patterns on the pieces) for contrast. Red and greenish yellow are difficult colors to differentiate for many colorblind viewers. Thanks

    • @twoswap
      @twoswap  Рік тому +3

      Going to try with #DC267F and #FFB000 next time, and I'll add a ring around the piece with slightly different color to hopefully provide more signal. thanks for the tip

    • @TWPO
      @TWPO Рік тому +1

      @@twoswap Really appreciate the reply! Those colors are definitely more clear imo. Good idea with the ring as well - even something subtle like a darker value of the same color would probably work just fine as a differentiator. Looking forward to your next video :)

  • @soupisfornoobs4081
    @soupisfornoobs4081 Рік тому +1

    This is an amazing video and got me into connect 4, can't wait for the rest of the series. Will you be showcasing openings or stick to the game theory?

    • @twoswap
      @twoswap  Рік тому +2

      I will touch on everything :)

  • @fishermanWyatt-qg6tw
    @fishermanWyatt-qg6tw Рік тому +1

    nice video, editing makes it enjoyable to watch. also i can’t tell whether the circles are slightly oblong in varying direction or if it’s a visual illusion, but it makes for a cool aesthetic

    • @twoswap
      @twoswap  Рік тому

      Hm, they should be circular circles!

  • @notcodlol
    @notcodlol Рік тому

    U make me scared with those words lol

  • @asdfghyter
    @asdfghyter Рік тому

    it seems like a yellow odd threat can neutralize a red odd threat, is this correct?

    • @twoswap
      @twoswap  Рік тому +1

      For the most part. The entire next video is dedicated to the subtleties of this property.

    • @asdfghyter
      @asdfghyter Рік тому

      @@twoswap awesome! looking forward to it!

  • @ruferd
    @ruferd Рік тому

    This feels like a SoME video, you should consider it if its not!