Rubik's Cube: Why are some cases impossible to solve?

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 1.7K

  • @kaikyc.5072
    @kaikyc.5072 5 ปีที่แล้ว +1491

    Damn, I remember that when I started to learn how to solve a 3x3 I got parity, and then I would always restart the solve thinking that I did something wrong *for hours* . Just to later realise that it was impossible and I just had to do a corner twist.
    Definetely one of my most frustrating life experiences.

    • @JPerm
      @JPerm  5 ปีที่แล้ว +430

      There are a lot of people who run into that problem!

    • @angryarachnid0
      @angryarachnid0 5 ปีที่แล้ว +32

      F

    • @ankithmahesh1182
      @ankithmahesh1182 5 ปีที่แล้ว +26

      F

    • @paulyp1919
      @paulyp1919 5 ปีที่แล้ว +42

      @@JPerm My kids do this to me a lot! Think it is funny...

    • @joachimprz
      @joachimprz 5 ปีที่แล้ว +7

      Me Too;)

  • @Spatzna
    @Spatzna 4 ปีที่แล้ว +286

    "1 is a multiple of 3 if you're clever"
    Great vid, loved it

    • @asifiqbalchowdhury1399
      @asifiqbalchowdhury1399 5 หลายเดือนก่อน +2

      3 * 1/3 = 1

    • @devooko
      @devooko 2 หลายเดือนก่อน +1

      @@asifiqbalchowdhury1399 3 to the 0 th power.

    • @OyinOrekoya-j8s
      @OyinOrekoya-j8s 12 วันที่ผ่านมา

      3 is a factor of three not a multiple

  • @leo17921
    @leo17921 5 ปีที่แล้ว +3821

    "Every odd number is a multiple of 3" -J Perm

    • @bambo418
      @bambo418 5 ปีที่แล้ว +354

      Prime numbers other than 2 and 3: am I a joke to you?

    • @10kwithnovideochallengemem91
      @10kwithnovideochallengemem91 5 ปีที่แล้ว +32

      Abysmal Luck lol

    • @cuberrificdan5539
      @cuberrificdan5539 5 ปีที่แล้ว +21

      @@bambo418 lol

    • @jisaarmaliai4050
      @jisaarmaliai4050 5 ปีที่แล้ว +37

      How bout 5 xd

    • @bambo418
      @bambo418 5 ปีที่แล้ว +53

      @@lumina_ well 2 and 3 aren't counterexamples for the statement, since 2 isn't odd and 3 is a multiple of 3 as you say. All other prime numbers do serve as counterexamples though, since they are both odd and not a multiple of 3

  • @puerlatinophilus3037
    @puerlatinophilus3037 5 ปีที่แล้ว +551

    Legends say that the number of times he says "swap" in this video has to have an even parity.

    • @deekay1306
      @deekay1306 5 ปีที่แล้ว +22

      wait... let me just save some real estate on this great comment.
      🏠🏡🏘

    • @Doom_Guy_Slayers
      @Doom_Guy_Slayers 4 ปีที่แล้ว

      Lol do you guys realized. He said that corner twist is multiple of 6 . But thats wrong . I know he said better to called multiple of 3. But multiple of 6 is wrong . Cuz ok . Try it now . Set your cube to be 2 corner of twist(clockwise) . And then do the same thing on other corner ,. Then u Will have this .3,4,5. But if you twist 1 more corner its become 6 . And 6 corner twist is twist? Lol thats wrong

    • @batrongordeg
      @batrongordeg 4 ปีที่แล้ว +2

      @@Doom_Guy_Slayers what? That is becuse quantum physics or you just explained it poorly?

    • @liandremarcoricafort6606
      @liandremarcoricafort6606 4 ปีที่แล้ว

      It's a twist if you twist it.. not because it's twisted

    • @leborenday
      @leborenday 4 ปีที่แล้ว

      ?

  • @vinuthabhandary6543
    @vinuthabhandary6543 5 ปีที่แล้ว +1147

    You make the types of videos I can watch over and over again without getting bored.

  • @eyeturtle
    @eyeturtle 2 ปีที่แล้ว +39

    For megaminx, using the same logic in the video, a turn is 4 edge swaps, so you can swap the two edges, then swap edges twice somewhere else, which doesn't do anything, and there would still be one swap, so it is impossible to have to only have two edges swapped using outer turns on a megaminx.

  • @rahulsahay7330
    @rahulsahay7330 5 ปีที่แล้ว +262

    Dude i legit have been thinking about this for a while. My best guess was that centers were not fixed. But couldn't figure out for odd layered cubes, and of course the void cube

  • @maxcrenshaw
    @maxcrenshaw 3 ปีที่แล้ว +63

    I genuinely enjoy the "cube theory" format, keep doing them my guy!

  • @danielsaad9196
    @danielsaad9196 5 ปีที่แล้ว +807

    once i was doing a solve in public and someone came up and told me to solve their cube.
    me, being the humble cuber i am, obliged.
    after i got to pll, though, i realized i had parity. on a 3x3.
    i guess that solve took a *turn for the worse*

    • @nhlvideosforkids1761
      @nhlvideosforkids1761 5 ปีที่แล้ว +7

      Some Nerd

    • @lumina_
      @lumina_ 5 ปีที่แล้ว +140

      Probably 7/10 solves I do on a noncuber's cube has parity on a 3x3 because they corner twist and remove pieces and put them back wrong

    • @nikotakai8796
      @nikotakai8796 5 ปีที่แล้ว +62

      @Glass of Milk just a question from a noob here: If I don't do anything special do my 3x3 cube and I just turn it normally, everything should be fine right?

    • @kaikyc.5072
      @kaikyc.5072 5 ปีที่แล้ว +37

      @@nikotakai8796 yeah, if you learn how to solve it there shouldn't be any problems.
      Usually you only notice parity at the end and only have to do a corner twist which isn't much of a problem

    • @lumina_
      @lumina_ 5 ปีที่แล้ว +42

      @@nikotakai8796 yeah, if you don't corner twist it or take out pieces you shouldn't get parity on 3x3

  • @crimson3362
    @crimson3362 5 ปีที่แล้ว +173

    i absolutely love this, i live for this kind of nerdy stuff, i hope you do more cube theory videos in the future

  • @Inspirator_AG112
    @Inspirator_AG112 4 ปีที่แล้ว +179

    AT TIMESTAMP 10:40 )
    The number of *corner swaps* and *edge swaps* must be _both_ either odd or even on a *Megaminx.* The reason this only applies to odd-layered puzzles (-Minus the *Void Cube)* and not even-layered puzzles is because any puzzle with *centers* has this rule. An *A-perm, G-perm* or *U-perm* is possible because 2 intersecting *swaps* form a *cycle.* A *cycle* is formed when intersecting *swaps* of the same type of *piece (-Edge/Corner)* share a *last piece* (-This is why a *cycle* must have an odd number of *pieces.).*

    • @danay996
      @danay996 2 ปีที่แล้ว +4

      Why no replys???

    • @bilingualchad
      @bilingualchad 2 ปีที่แล้ว +9

      Wow, this guy knows cubing.
      Also, the reason why on even layer cubes can have two corners swapped is actually because you also swap the inner pieces, which are edges. So you actually swap corners 1 time and inner edges 1 time.

    • @Inspirator_AG112
      @Inspirator_AG112 2 ปีที่แล้ว +3

      @@bilingualchad :
      Thanks, and yes.

    • @asr2009
      @asr2009 ปีที่แล้ว

      j perm said he doesnt care about corners for the megaminx question. if we exclude counting corners, then it is definitely possible to have only 2 edges swapped on a 3 by 3 at least(example is T perm, J perm etc.)

    • @oualidbazzaoui1989
      @oualidbazzaoui1989 ปีที่แล้ว +1

      @@asr2009 we cant do that bc a turn does 4 swaps or even number of swaps for edges so we can never reach odd number if swaps only for edged

  • @pathfindernutsinurface3296
    @pathfindernutsinurface3296 4 ปีที่แล้ว +26

    My mom: So what did you learn today?
    Me: I learned Dylan's law of slice turns and parity explanation

  • @VictorArets
    @VictorArets 5 ปีที่แล้ว +368

    This is a multipel of 3, iF YoU’Re CLevEr.
    -jperm 2020

  • @Sora-iu2kc
    @Sora-iu2kc 5 ปีที่แล้ว +192

    someone need to count how offten he said "swap"

    • @puerlatinophilus3037
      @puerlatinophilus3037 5 ปีที่แล้ว +24

      Get some drinks and watch this with your friends. Everytime he says swap, everyone has to take a shot. I bet you'll only make it 'till 5 minutes or so.

    • @nischalmr5978
      @nischalmr5978 5 ปีที่แล้ว +8

      Why can't that "someone" be you

    • @Sora-iu2kc
      @Sora-iu2kc 5 ปีที่แล้ว +4

      @gamer.20years.and thats true i have no freinds ;-;. Do you wanna be my freind ?

    • @Daaljeli
      @Daaljeli 5 ปีที่แล้ว +3

      @@Sora-iu2kc I'll be your freind

    • @wheezybread
      @wheezybread 5 ปีที่แล้ว +7

      I'm pretty sure the amount of times was even parity

  • @natanfurman2467
    @natanfurman2467 5 ปีที่แล้ว +26

    I think swapping two pieces on the megamix is impossible for the same reason it's impossible on a 3x3. When you turn a face (which is the only legal move), you swap 5 corners and 5 edges. You can probably swap two edges and two corners, or two edges and two sets of two corners, or two edges and any swapping of corners that can be seen as an even number of corner swaps.
    This is my reasoning:
    When you turn a face, you do five edge swaps. With some manipulation, you can use this to swap two corners, then swap two other corners four times. This would give you two edges swapped while keeping the rest of the edges undisturbed. However, because this took the equivalent of five edge swaps, you need five corner swaps. It's impossible to have five corner swaps that cycle back to their original state, but you can swap two corners and leave the rest undisturbed. You can do this the same way you do edges, by swapping two with one swap and then using the other four swaps to cancel themselves out.
    I used the word "swap" 17 times in this comment.

    • @JPerm
      @JPerm  5 ปีที่แล้ว +26

      Actually when you turn a face, you do 4 swaps of edges! Try taking the megaminx apart to swap 2, then the next 2, and so on. You'll only have to do this 4 times to move the edges around once

    • @natanfurman2467
      @natanfurman2467 5 ปีที่แล้ว +10

      @@JPerm wow, can't believe I missed that. Then is it impossible to swap to edges no matter what? Since any sequence of moves you do will result in an even number of swaps, you can't get an odd number like 1. Thanks for replying btw, made my day :)

    • @BuriBuriBomBomOfficial
      @BuriBuriBomBomOfficial 11 หลายเดือนก่อน

      Well I like nerdy stuff but I didn't knew this, thank you

  • @sinpi314
    @sinpi314 3 ปีที่แล้ว +21

    This video is super interesting, I really love cubing + maths vids. Make more of these kind!

  • @MinutemenSyndrome
    @MinutemenSyndrome 5 ปีที่แล้ว +63

    Sorry Professor Dylan,
    I forgot my megaminx homework at home.

    • @konoacda9935
      @konoacda9935 3 ปีที่แล้ว +6

      A dog ate my megaminx!

  • @baileycooper2307
    @baileycooper2307 4 ปีที่แล้ว +44

    This was such a helpful video. I’m getting parities on my 4x4 all the time and I don’t know why. Previously, I thought it was meant to be “impossible”, but it turns out it is not.

  • @heusbd
    @heusbd 5 ปีที่แล้ว +12

    Jperm uploads: *clicks on video with military precision*

  • @RandomBurfness
    @RandomBurfness 5 ปีที่แล้ว +16

    I think it could be interesting to extend this discussion into supercubes, where the orientation of the centres need to be solved too.

  • @LiterallyVera
    @LiterallyVera 4 ปีที่แล้ว +33

    "every odd number is a multiple of 3"
    *Every Prime Number (that isn't 2 or 3) wants to know your location*

    • @Ya_boi_ben
      @Ya_boi_ben 4 ปีที่แล้ว

      And what are you trying to say by this

    • @antoniomolina3612
      @antoniomolina3612 3 ปีที่แล้ว

      I’m assuming he’s saying That every odd number isn’t a multiple of three, which is true. Proven by any prime number bigger than 3. Like 7, or 13

    • @eduardoxenofonte4004
      @eduardoxenofonte4004 3 ปีที่แล้ว

      @@antoniomolina3612 9 is odd and a multiple of 3

    • @antoniomolina3612
      @antoniomolina3612 3 ปีที่แล้ว

      @@eduardoxenofonte4004 duh that’s the sarcasm. I said every as I’m not every single one, but obviously there are some

    • @eduardoxenofonte4004
      @eduardoxenofonte4004 3 ปีที่แล้ว

      @@antoniomolina3612 how am I supposed to know that that's sarcasm?

  • @itsmitko7
    @itsmitko7 5 ปีที่แล้ว +14

    "I can just rotate the cube and that moves the centers"
    - J Perm 2020

  • @Irokesengranate
    @Irokesengranate 3 ปีที่แล้ว +3

    You're literally doing group theory with your hands, proving theorems by manipulating plastic pieces and counting stickers. It's beautiful.

  • @radoaahmed2420
    @radoaahmed2420 4 ปีที่แล้ว +5

    Whenever I am unable to solve a weird state of my 4x4x4 cube I just scramble it a lot, start over and hope for the best.
    I’m not a speedcuber or anything but it is in my interest.

  • @Serkoid
    @Serkoid 4 ปีที่แล้ว +6

    But hey, that's just a theory, a CUBE THEORY!

    • @c4d3nx
      @c4d3nx 3 ปีที่แล้ว

      e

  • @JediJess1
    @JediJess1 ปีที่แล้ว +1

    This is the single most comprehensive and intuitive explanation for parity on twisty puzzle I have seen to date! Thank you!

  • @sauce790
    @sauce790 5 ปีที่แล้ว +7

    Just came back to the hobby after two years and I'm excited

    • @witherwings7772
      @witherwings7772 3 ปีที่แล้ว

      A bit late but uh congratulations

  • @god5926
    @god5926 5 ปีที่แล้ว +15

    This mans hands when he swaps:
    *_I am speed_*

    • @itsgoofymf7685
      @itsgoofymf7685 4 ปีที่แล้ว

      NEEOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOMMMM!

    • @itsgoofymf7685
      @itsgoofymf7685 4 ปีที่แล้ว +2

      Know what, just ignore that comment. I couldn’t think of how to spell it so I just did that. And half way through of typing all that I thought myself as DUMB!

    • @god5926
      @god5926 4 ปีที่แล้ว +1

      @@itsgoofymf7685 lmao ok

  • @MTTR01
    @MTTR01 5 ปีที่แล้ว +23

    For the 3x3 edges... Imagine wanting to flip two edges. In order for the rest of the cube to be solved, you need to flip one edge, replace it, then RE-FLIP it. In an odd number of cases, you cannot reflip the same number of edges which leaves the cube unsolved, hence why you can only have an even number of edges flipped.

  • @victorcanesin8978
    @victorcanesin8978 5 ปีที่แล้ว +3

    Honestly, this is one of your best videos! I think you should explore more this type of content

  • @zizohno9336
    @zizohno9336 5 ปีที่แล้ว +54

    He actually did it

    • @nebu1a441
      @nebu1a441 4 ปีที่แล้ว +1

      He did it
      He got his wife pregnant
      This was a joke if u whooooosh me
      I will slit your...
      Ummm...
      Fortnite account....
      Yeeeeah...

    • @arifwazir3584
      @arifwazir3584 4 ปีที่แล้ว +1

      @@nebu1a441 jokes on you i dont play fortnite

    • @thepanther9163
      @thepanther9163 10 หลายเดือนก่อน

      What happened here

  • @DrPallaviKher
    @DrPallaviKher 5 ปีที่แล้ว +10

    6:53 hey vsauce micheal here

  • @saturniunyttech679
    @saturniunyttech679 3 ปีที่แล้ว +8

    0:30 here we have his channel logo

    • @maaziboy3088
      @maaziboy3088 3 ปีที่แล้ว

      Lol how'd u spot that

    • @saturniunyttech679
      @saturniunyttech679 3 ปีที่แล้ว

      @@maaziboy3088 i just noticed it looked like his logo

  • @slic3dic385
    @slic3dic385 2 ปีที่แล้ว +5

    Not sure if you’ll see this comment, but I’ve been getting into speed cubing lately and watched most of your videos in a very short period of time. I love your content, it’s beyond helpful! I have a QiYi cube that somehow got the last layer corners swapped and seems to be impossible to be solved like you mentioned at 0:35. I’ve never had this cube apart, and I swear by that. I have no idea how it happened, and without taking it apart, there has to be a way to get it back, right? Thanks in advance if you see this. Keep up the great work!

    • @Cuber1771
      @Cuber1771 6 หลายเดือนก่อน

      Kinda late lol but this happened to me. It turned out to be center parity, where four centers were basically rotated around a slice layer by popping off the center caps so they looked right but were swapped causing odd center swaps which allows for odd edge swaps, and thus parity. U could always just disassemble the cube too, or swap the centers back

  • @Dahea
    @Dahea 4 ปีที่แล้ว +7

    "Why are some cases impossible to solve?"
    "WhY cAnT yOu JuSt UnDo YoUr TuRnS?"

  • @F33DtheF34R
    @F33DtheF34R 5 ปีที่แล้ว +12

    So I "knew" all of this... but hearing your explanation of it made it seem like something completely new and gave me that mind blown feeling. Best cube video of 2020. This will not be topped for the rest of the year.

  • @noahve
    @noahve 5 ปีที่แล้ว +5

    I loved this video! Keep making more cube theory videos, it's really interesting to watch!

  • @kryt7955
    @kryt7955 3 ปีที่แล้ว +2

    he is definitely the best cubing youtuber out there... others just post cubing videos, but he also posts these kind of interesting videos talking about the overall nature of twisty puzzles

  • @michelenardin9189
    @michelenardin9189 5 ปีที่แล้ว +4

    So you actually made a video about parity... Thank you!!!

  • @Oscar-42
    @Oscar-42 3 ปีที่แล้ว +2

    I have watched these videos for about a year, I never had a cube. Not even a 3x3 or 2x2 but I’m finally getting a go cube with some birthday money! I know a lot of techniques, ways to solve, and algorithms. I’m really excited to get my first solve!

    • @LRexChess
      @LRexChess 2 ปีที่แล้ว

      it’s been 7 months since you made this comment, how are things going so far? :D

    • @Ilnur-v6z
      @Ilnur-v6z 2 ปีที่แล้ว

      @@LRexChess Lol I’m genuinely curious. What if he got the cube taken away :(

    • @jymcotton9904
      @jymcotton9904 ปีที่แล้ว

      learning, watching and reading before you pick up a cube is probably really smart. In the 90s, somehow I started receiving Golf Digest for free weekly. I read it for about 7 years before picking up a club. I decided to go play golf one day and shot in the 80s first time round. That's pretty amazing by the way.

  • @FrozenBirdXD
    @FrozenBirdXD 5 ปีที่แล้ว +4

    wow This is very informative! :)

  • @wwa_vy
    @wwa_vy 4 ปีที่แล้ว +142

    Who is just confused.

    • @The_Jordanator
      @The_Jordanator 8 หลายเดือนก่อน +1

      Me 😂

    • @ShreyasSiddharth
      @ShreyasSiddharth 8 หลายเดือนก่อน

      Me too😂

    • @mamtakohima
      @mamtakohima 7 หลายเดือนก่อน +4

      No it isn't I literally solved a square-1 with no help when I got parity
      I remembered this video I knew I am at even slices then I counted my slices and solved parity on square-1
      (+ I am Asian)

    • @mekaindo
      @mekaindo 7 หลายเดือนก่อน

      learning issue

    • @RadRand.
      @RadRand. 6 หลายเดือนก่อน

      Me

  • @agungsugiyanto8314
    @agungsugiyanto8314 5 ปีที่แล้ว +12

    my brain is overloaded

  • @John-fs6ee
    @John-fs6ee 3 ปีที่แล้ว +1

    Some gave me a pyraminx to solve and the stickers were swapped in a completely unsolvable way

  • @kartikeyagarwal5156
    @kartikeyagarwal5156 3 ปีที่แล้ว +3

    1:53
    Legends are saying that mathematicians are still offended.😂

    • @c4d3nx
      @c4d3nx 3 ปีที่แล้ว

      he said 'for our purposes'

  • @Vidikron
    @Vidikron 5 ปีที่แล้ว +2

    I enjoyed this video. I’m as interested in the theory, math, or mechanics of twisty puzzles as I am in general speed cubing. Good video. Thanks!

  • @nmrs4342
    @nmrs4342 5 ปีที่แล้ว +20

    10:24 impossible because a turn on a megaminx does 4 swaps of corners and 4 swaps of edges

  • @krzysztof_jablonski
    @krzysztof_jablonski 5 ปีที่แล้ว

    9:33 "So in this case I can keep twisting any corner 3 more times and that... is funny."
    That was hilarious!

  • @tommik4872
    @tommik4872 5 ปีที่แล้ว +8

    This is an awesome type of video, really enjoyed watching, and glad you had fun making it aswell! :) Be sure to do more videos about cube theory.

  • @notaftershook8642
    @notaftershook8642 5 หลายเดือนก่อน +1

    learning how a cube works is way better than learning just algorithms

  • @peterzo
    @peterzo 5 ปีที่แล้ว +49

    The last time I was this early was when I did f2l before finishing the cross

    • @Bladavia
      @Bladavia 5 ปีที่แล้ว +5

      If you're a Roux user you're just in time

    • @anegg9108
      @anegg9108 5 ปีที่แล้ว +1

      @@Bladavia wrong cuz he missed his DL and DR edges

    • @Bladavia
      @Bladavia 5 ปีที่แล้ว +1

      @@anegg9108 yeah my bad xD

    • @KewlWIS
      @KewlWIS 4 ปีที่แล้ว

      @@Bladavia you're blad**

    • @nutmeggaming11261
      @nutmeggaming11261 4 ปีที่แล้ว

      @@KewlWIS, lol

  • @andrerosaesilva
    @andrerosaesilva 5 ปีที่แล้ว +2

    Best cubing channel.
    Thank u so much for your vids.
    Please, keep up the excellent work!

  • @mays_things7945
    @mays_things7945 4 ปีที่แล้ว +15

    “This is a multiple of 3,if your cLAvEr
    Me: ......did he just call me stupid?

    • @Lavanya2B
      @Lavanya2B 4 ปีที่แล้ว

      0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

    • @EHMM
      @EHMM 4 ปีที่แล้ว

      It is because
      3⁰ = 1

  • @combustablelemon3482
    @combustablelemon3482 3 ปีที่แล้ว +2

    I actually figured a bit of this out without realizing in middle school when I was learning beginner method. I noticed that the amount of times uou had to repeat R’D’RD in the last step was always a multiple of 6 and I figured out how many repetitions each corner orientation required to correct and that it was always even.

  • @yuvrajnaulakha8924
    @yuvrajnaulakha8924 ปีที่แล้ว +10

    Bro giving us homework

  • @tracingtheta
    @tracingtheta 5 ปีที่แล้ว +2

    Awesome video. I liked the dive into theory, and I'd definitely want to see more like this. This is the best explanation on parity I've seen yet.

  • @cinnamonkittamon
    @cinnamonkittamon 2 ปีที่แล้ว +5

    On the void cube you also functionally have centers, they're just invisible and have multiple solved states
    Like if you ignore the centers on a normal 3x3. You'll have the same experience

  • @bobmarley6306
    @bobmarley6306 5 ปีที่แล้ว +1

    This is extremely fascinating ... more like this pls.

  • @tyl1to104
    @tyl1to104 5 ปีที่แล้ว +10

    That was the most ive heard someone say swap

  • @sakuracat3412
    @sakuracat3412 4 ปีที่แล้ว +1

    finally someone explained it well👏🏻👏🏻👏🏻ggs bro

  • @qlava8553
    @qlava8553 3 ปีที่แล้ว +3

    10:20 Yes but only when you make the checkerboard pattern.

    • @qlava8553
      @qlava8553 3 ปีที่แล้ว

      @@MattTacc How'd it go?

    • @MattTacc
      @MattTacc 3 ปีที่แล้ว +1

      @@qlava8553 it flips the two edges obviously.

  • @-homechord-2908
    @-homechord-2908 ปีที่แล้ว +2

    I understood maybe 10% of what you said but it was a good 10%! 😊

  • @xdlilmanhaider8407
    @xdlilmanhaider8407 5 ปีที่แล้ว +8

    Reasons why megaminx cannot have two esges swapped:
    1: You cannot perform an 'm' move which means 4 edges move
    2:there are 5 edges on one side and that means the edges cannot have a two edge cycle because there is 10 total pieces to solve in the last layer and most permutations have a clockwise rotation or two pairs of two edges swap and if that were to occur on a megaminx that means the one remaining edge needs to swap but it cannot.
    If you guys agree or disagree let me know and thanks for reading have a good day

    • @Doom_Guy_Slayers
      @Doom_Guy_Slayers 3 ปีที่แล้ว

      Can you move the corners so that the edge can be 2 swap?

    • @epiccarpetdog
      @epiccarpetdog 3 ปีที่แล้ว

      @@Doom_Guy_Slayers no

  • @Cruxify_
    @Cruxify_ 2 ปีที่แล้ว +1

    You're so close to 1m congratulations on getting so far!

  • @rememberingunity
    @rememberingunity 4 ปีที่แล้ว +3

    Thank you so much for putting out this video!!!! I love learning WHY the algorithms work so I can learn to adapt better on the go.

  • @origamikatakana
    @origamikatakana 5 ปีที่แล้ว +1

    The permutation group of the megaminx group (ignoring the normal subgroup of orientations) is a product of alternating groups, so clearly there are only even permutations of both edges and corners, even considered separately. So you can't even have a transposition of corners and a transposition of edges on a megaminx (as in something like a T-perm on 3×3).

  • @cr1spyp1eskingsou17
    @cr1spyp1eskingsou17 5 ปีที่แล้ว +12

    when you get parity on a 1x1
    frolic plays intensely

    • @cheatrzs
      @cheatrzs 5 ปีที่แล้ว +2

      happened to me yesterday

    • @Random22
      @Random22 5 ปีที่แล้ว

      Weak
      I've done parity countless times

    • @cr1spyp1eskingsou17
      @cr1spyp1eskingsou17 5 ปีที่แล้ว

      i've gotten parity on a 3x3
      just take the caps off and make a poor man's void cube

  • @MunchXD
    @MunchXD 2 ปีที่แล้ว +2

    i dont even have or know how to solve a rubix cube and i watched this video lol

  • @Kai_M
    @Kai_M 5 ปีที่แล้ว +11

    J perm is like zemdegs and z3cubing, but like in the middle of them both

    • @mouhktar4587
      @mouhktar4587 5 ปีที่แล้ว +3

      The average human YT I agree, he has similar qualities to both of them. He is fast at cubing like feliks and explains stuff like z3cubing

    • @Kai_M
      @Kai_M 5 ปีที่แล้ว +1

      @@mouhktar4587 cheers 4 agreeing

    • @lumina_
      @lumina_ 5 ปีที่แล้ว

      I stopped watching Z3cubing over a year ago and I completely forgot that he changed his YT name to Z3cubing, it used to be legoboyz3. If you go to some of his older vids, he says legoboyz3 in his intro

    • @Kai_M
      @Kai_M 5 ปีที่แล้ว

      @@lumina_ ikr the nostalgia

    • @Mateus.007
      @Mateus.007 5 ปีที่แล้ว

      @@mouhktar4587 Feliks explains many things in his channel cubeskills.

  • @yuxiaoliu7795
    @yuxiaoliu7795 5 ปีที่แล้ว +1

    What a great introduction to permutation groups!

  • @calumross2482
    @calumross2482 2 ปีที่แล้ว +5

    A megaminx has 5 sides so each turn swaps 4 edges, therefore you can only have a even number of edge swaps and cannot just swap two edges.

    • @someguyyt8595
      @someguyyt8595 2 ปีที่แล้ว

      its swaps five pieces not 4

  • @christheone6493
    @christheone6493 5 ปีที่แล้ว +1

    I can't believe what a coincidence this is, I started computer science last week and learnt about even and odd parity in a binary register yesterday

  • @muhammaddaji690
    @muhammaddaji690 5 ปีที่แล้ว +11

    For the megaminx question: No. Because when on Last layer, you can only have 1, 2, or 5 edges oriented and permuted correctly

  • @bhanusairam1534
    @bhanusairam1534 4 ปีที่แล้ว +1

    i clearly understood every thing you explaind
    perfect.

  • @fakefirstnamefakelastname8305
    @fakefirstnamefakelastname8305 4 ปีที่แล้ว +4

    This reminds me: Some kid at my school had just learned the 3x3, and this kid was getting super braggy about it, so I asked them if I couls scramble it for them, they said "sure go ahead", so I walked out of sight with the cube. I then proceeded to yank two edges out and swap them, creating void parity. I then gave it a good scramble to disguise my mischeif (obviously). I gave it back to the kid. Boy did I have a good time watching them struggle. It was hilarious

    • @lumina_
      @lumina_ 4 ปีที่แล้ว +2

      Lol that's funny. You told him what you did, right?

  • @kummer45
    @kummer45 2 ปีที่แล้ว

    This made me study and rediscover the four Isomorphism theorems for groups and permutation groups. This is clean mathematics of group theory.

  • @freshstat1csnow
    @freshstat1csnow 3 ปีที่แล้ว +3

    very late, but here's an explanation for why a megaminx must have both even edge and corner parity: turning a layer cycles 5 edges and 5 corners (4 swaps each) so parity for both is always even

  • @kittyn5222
    @kittyn5222 3 ปีที่แล้ว +2

    Ans:do a j perm 2 edge and 2 corner swapped

  • @thaiisfood
    @thaiisfood 4 ปีที่แล้ว +8

    6:51 oh no i’ve run into another type of parity
    Or is it?
    *Vsauce music starts playing*
    I hope no one else has commented this

    • @thaiisfood
      @thaiisfood 4 ปีที่แล้ว

      The One and Only oh dang

  • @abhijitprajapati3764
    @abhijitprajapati3764 3 ปีที่แล้ว +1

    So if ur doing old pochman 2x2, take the number of moves and multiply it by 3 to get the number of swaps to solve it with old pochman

  • @slkgamer-255
    @slkgamer-255 5 ปีที่แล้ว +3

    This man: exists
    Me: who just learned a cube today

  • @MaffeyZilog
    @MaffeyZilog ปีที่แล้ว +1

    I took the middle pieces of my GAN 356 X V2 to change the tensions and there were two corner pieces like the 3x3 in this video. They hadn't been twisted or taken out, the yellow was opposite white and everything was lined up perfectly and even when I put the middle pieces back on the corner, the pieces were still twisted.
    Very odd to say the least only it happened again cleaning out my Moyu WR M v9.

    • @Cuber1771
      @Cuber1771 6 หลายเดือนก่อน

      It’s called center parity and has happened to me before as well. Basically if u pop out 4 centers then rotate them once and put them back, everything looks the same and the color scheme is the same but there have been effectively 3 center swaps and no edge swaps with it like a normal slice move. And if there is an odd amount of center swaps and even edges then u often get parity.

    • @MaffeyZilog
      @MaffeyZilog 6 หลายเดือนก่อน

      @@Cuber1771 You're missing the point. This happened to me on a 3x3 not a 4x4.

    • @Cuber1771
      @Cuber1771 6 หลายเดือนก่อน +1

      @@MaffeyZilog I know. If u take out 4 center caps and put them in one spot over it causes parity on 3x3, due to an odd number of center swaps and even edges and corners

    • @MaffeyZilog
      @MaffeyZilog 6 หลายเดือนก่อน

      @@Cuber1771 I get you now. Thanks!

  • @max_ishere
    @max_ishere 4 ปีที่แล้ว +4

    I was like: 4×4 somehow keeps magically swapping pieces. Ok, this cube is definitely weird.

  • @futureshit-glungis7202
    @futureshit-glungis7202 5 ปีที่แล้ว +1

    I love this cube theory type of video. I kind of want more of it, so if anyone knows something interesting, or even better doesnt know something interesting please suggest it to our mr j perm so he can spread his knowledge even more.

  • @telmaborges1017
    @telmaborges1017 3 ปีที่แล้ว +4

    I can’t swap 2 edges on a megamix because I don’t have a megamix !!!!!

  • @taavimetso9178
    @taavimetso9178 4 ปีที่แล้ว

    Nice vid more of this kind

  • @gacekneo
    @gacekneo 5 ปีที่แล้ว +3

    10:34
    No because megaminx is 3x3
    Heckmate

  • @SuduCuber
    @SuduCuber 5 ปีที่แล้ว +1

    This is some good wisdom

  • @baseballnerd6465
    @baseballnerd6465 5 ปีที่แล้ว +5

    Can we just acknowledge the fact that he never puts in any ads?!!?

    • @jaffil4026
      @jaffil4026 4 ปีที่แล้ว

      He does your prob just on an apple product

    • @zezus001
      @zezus001 4 ปีที่แล้ว

      Say hello to speedcubeshop.com

  • @doplop
    @doplop 3 ปีที่แล้ว

    the absolute SPEED when you do the 2x2 swap thing is terrifying i feel like you could turn a rubiks cube into a weapon and murder me with it and use the cube to absorb all the evidence and then use the cube as a portal to escape into the fourth dimension so they never find you

  • @y_noT42
    @y_noT42 3 ปีที่แล้ว +3

    The word "swap" doesn't sound like a word anymore and has lost all meaning.

  • @lenn_man
    @lenn_man 5 ปีที่แล้ว +1

    I really like the cube theory vids. Can't wait for more

  • @oceanbeans8546
    @oceanbeans8546 5 ปีที่แล้ว +3

    Me: I don’t know what this means TH-cam gave me this HELP ME

  • @DarkMaster0208
    @DarkMaster0208 3 ปีที่แล้ว

    1:01 "So I know an algorithm that can solve these two"
    1 second later: Cube.exe has stopped working.

  • @aidenkim3120
    @aidenkim3120 5 ปีที่แล้ว +14

    Im early let me tell a joke
    My WCA results

    • @icompass
      @icompass 5 ปีที่แล้ว +1

      Same lol

  • @ItsVasl
    @ItsVasl 2 ปีที่แล้ว +1

    Thank you so much for the taiwan chinese subtitles!

  • @pabloparraguez4724
    @pabloparraguez4724 5 ปีที่แล้ว +3

    1:36 and one is not a multiple of three
    1/3: *am I a joke to you?*

  • @NB69420
    @NB69420 4 ปีที่แล้ว

    Your videos are awesome!

  • @thecakemuffincrew9987
    @thecakemuffincrew9987 5 ปีที่แล้ว +6

    Im literally so confused

    • @lumina_
      @lumina_ 5 ปีที่แล้ว

      Yeah, I understood almost nothing in this video lol

    • @dazoopz5378
      @dazoopz5378 5 ปีที่แล้ว

      TheCakeMuffinCrew He did a horrible job of explaining

    • @seikzo3311
      @seikzo3311 5 ปีที่แล้ว +1

      Fake Seattle Sounders FC no. you did a terrible job at listening :)

    • @Humulator
      @Humulator ปีที่แล้ว

      You need basic cubing knowledge to understand this

  • @moseallison4228
    @moseallison4228 4 ปีที่แล้ว +2

    1:44 When you mess up on an algorithm