Pentacubes & Cube Face Pathfinding

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  • Опубліковано 21 лис 2024

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  • @v.deckard
    @v.deckard  12 днів тому +131

    NOTE: Amazingly, despite there being a month of time between working on this video, the 3x3x3 and 4x4x4 pentacube pathfinding solutions were both beaten AFTER I rendered this video, but BEFORE I uploaded it. Both were beaten by a single cell, which is pretty wild.

    • @Breuhh
      @Breuhh 12 днів тому +3

      Really funny

    • @aykarain
      @aykarain 11 днів тому +1

      lol

    • @ElijahsAnimationChannel
      @ElijahsAnimationChannel 11 днів тому +1

      Alright I’m making a Blueprint for Hexomino Facts GET UP HERE DECKARD

    • @Joshplays-Games
      @Joshplays-Games 11 днів тому +1

      Try 4 dimenional

    • @Breuhh
      @Breuhh 11 днів тому +1

      @@Joshplays-Games already done up to 3x3x3x3 I think

  • @TheGlaiveDominatrus
    @TheGlaiveDominatrus 12 днів тому +66

    20:00
    of course it's always the X pentomino to bring it home, just like in the entire series, what a legend for somehow turning into its letter form and taking over the whole board (also hexomino facts gonna be hype once you figure out all those names)

    • @thelollykitty
      @thelollykitty 6 днів тому +1

      ⬛️🟨🟨⬛️
      🟨🟨🟨🟨
      this hexomino should be former english letter thorn, change my mind

    • @cater_piler
      @cater_piler 4 дні тому +2

      @@thelollykitty if we're going by single character names they should be single characters on a standard keyboard. thorn isn't on most keyboards unless you're icelandic or actively use thorn for other reasons, so it would be best to just use the standard letters and numbers everyone already has access to

  • @haraldmbs
    @haraldmbs 12 днів тому +21

    Instant Carykh feel to the videos (Very good thing) keep up the good work!

    • @boyonyacerus
      @boyonyacerus 11 днів тому +1

      5:15 they even got the Carys

  • @Breuhh
    @Breuhh 12 днів тому +14

    Hell yeah my 4³ solution came in even though it was beaten 🔥

  • @randomlol-ya3063
    @randomlol-ya3063 11 днів тому +20

    I can't wait for 4D pathfinding

  • @dootnoot6052
    @dootnoot6052 12 днів тому +27

    fun fact: there are exactly 26 4d pentominoes (pentatesseracts), meaning there's exactly one for each letter
    the new ones in 4d are O, C, and D

    • @Intergalacticprismaticcreature
      @Intergalacticprismaticcreature 12 днів тому +2

      I wanna see!

    • @dootnoot6052
      @dootnoot6052 12 днів тому

      @@Intergalacticprismaticcreature if you go to the spreadsheet in the description and click on the "pentomino cubes/tesseracts" link (third one from the top), that one has every 3d and 4d solution so far, along with a picture of the 3d and 4d pentominoes

    • @lailoutherand
      @lailoutherand 12 днів тому +3

      obsessivr compulsive disorder

    • @alesonbrjk
      @alesonbrjk 11 днів тому +3

      @@Intergalacticprismaticcreature good luck seeing them

    • @Intergalacticprismaticcreature
      @Intergalacticprismaticcreature 11 днів тому +2

      @@alesonbrjk i am 4d creature 👽

  • @h3nry_s71ckm1n
    @h3nry_s71ckm1n 12 днів тому +9

    Can't wait to pathfind on a 3-torus!

  • @wun_zee3599
    @wun_zee3599 12 днів тому +8

    i've been on a bit of a bejeweled binge lately so this got me thinking of what a match 3 game would be like if it were in a cube instead of on a flat 2D plane lol

    • @Iam1Person
      @Iam1Person 11 днів тому +2

      Much more confusing.

    • @wun_zee3599
      @wun_zee3599 11 днів тому +1

      @@Iam1Person i've actually been thinking about it more and it might work better if it were in a 4x4x4 cube and you only had to match 2 gems instead of 3 lol. that'd drastically simplify it i think... i hope...

  • @MemeAnt
    @MemeAnt 12 днів тому +64

    Well well well
    Time for pentatesseracts

    • @diegonals
      @diegonals 12 днів тому +12

      Actually thr series would end with pentatesseracts, as anything above that would only contain the same penta-things as before, since there's a maximum of four different directions you can take using 5 cells

    • @ronalddavidrojas5795
      @ronalddavidrojas5795 12 днів тому +4

      What about hexatesseract?

    • @MemeAnt
      @MemeAnt 12 днів тому +1

      @ sounds very fun indeed

    • @kylezdancewicz7346
      @kylezdancewicz7346 12 днів тому +4

      @@diegonalsbut you could orient and rotate them still in higher dimensions. Until some much higher dimension

    • @abdijabarkhalif
      @abdijabarkhalif 11 днів тому +3

      there would be 1 new one i tihnk being the * pentesseract

  • @lr0dl012
    @lr0dl012 12 днів тому +52

    2:56 MOM LOOK! IM ON A DECKARD VID!!! :DD

  • @PotatoImaginator
    @PotatoImaginator 12 днів тому +6

    Minecraft path findings are a genre of videos i didn't know i loved ^_^

  • @BillelAktouf-pz7bc
    @BillelAktouf-pz7bc 12 днів тому +5

    Thankkkk u soooo muchhhh
    This morning i watched all the videos and im so happyyy that u dropped the 4 todayy ❤❤

  • @beagle_uah
    @beagle_uah 12 днів тому +8

    This is super well done again! I hope that you'll periodically make update videos for some of the coolest new pentomino shenanigans/updated records for the existing ones, as even though I'm definitely not smart enough to figure out these on my own (haha!) I would love to see the community's continued work!

    • @v.deckard
      @v.deckard  12 днів тому +3

      I might tbh! A lot of the stuff from all the videos are outdated now as better solutions have been found, so I think in the distant future I might do another update video once new better solutions stop being found. That would not be for a really long time though, as to give as much time as possible for people to find even better solutions for many of these boards

    • @GiyeokFan1997
      @GiyeokFan1997 9 днів тому +2

      ​@@v.deckard narnia

  • @hysda80
    @hysda80 3 дні тому +1

    I started beatboxing when he was mentioning the pentacubes for the 6x6x6

  • @lego_by_leo
    @lego_by_leo 12 днів тому +16

    19:32 - Yay I'm there
    More new cube boards stuff:
    5x5x5 has been improved to 55
    6x6x6 has been improved to 80

    • @blockshift758
      @blockshift758 12 днів тому +3

      I'm guessing it's the bottom layer with the 6x6x6 because it looked pretty open.

    • @Randomcelesteenthusiast
      @Randomcelesteenthusiast 11 днів тому +2

      is there somewhere I can find these solutions?

    • @The360MlgNoscoper
      @The360MlgNoscoper 10 днів тому

      @@blockshift758it already used every piece

  • @gpisthebest
    @gpisthebest 9 днів тому +2

    What a way to end the pentomino pathfinding series. This had me hooked from the start. Awesome stuff man!

  • @MELoNIKASZ_.................
    @MELoNIKASZ_................. 12 днів тому +12

    Okayy , so I know what I'll build next on the server with my friends

  • @m90e
    @m90e 3 дні тому +1

    can't wait for part 5: pentomino pathfinding hexomino edition

  • @ValkyRiver
    @ValkyRiver 12 днів тому +16

    Actually, for the pentacube pathfinding, those split layer diagrams on the right are quite understandable for me. This is a similar to how Lonpos presents those pyramid puzzles - they have split layer diagrams too.
    These split layer diagrams work well for 4D too.

  • @NikoThePancake
    @NikoThePancake 12 днів тому +3

    I love the pentomino series.
    It has been so much fun :3

  • @lock_ray
    @lock_ray 11 днів тому +4

    Here's a unifying framework for thinking of all these different varieties you have come up with (2d, 3d, torus, cube faces).
    I think the correct generalization is a graph G as the "space", and subgraphs with 5 vertices as the "pentominoes".
    The problem can then be posed as, given a connected graph G and a beginning and end vertex x and y, maximize the distance from x to y by removing a sequence of pairwise non-isomorphic k-vertex subgraphs from G.
    Under this definition the weird corner cases and loopy cases from the cube and torus count as distinct new pentoninos.

  • @MasterMal
    @MasterMal 11 днів тому +2

    I was one of the first 10,000 viewers on this video
    Also, this series inspired me to make my own google sheet called "ominoes" and share it with my classmates

  • @SilverMoon-rr9fo
    @SilverMoon-rr9fo 12 днів тому +4

    So cool!!! Exited for whatever you do next!

  • @bearcub7681
    @bearcub7681 12 днів тому +11

    YES!!!!! Wait the series is over NOOOOOOOOOOO!!!!!

  • @milkb4thecerealgames
    @milkb4thecerealgames 12 днів тому +4

    It’s sad this series HAS come to an end and im soo saad RECONTINUE IT!!!!!!!!!

  • @kengyangtan
    @kengyangtan 11 днів тому +2

    AHHH I WAS SO EXCITED FOR THIS BUT I FORGOT

  • @quadruplay9788
    @quadruplay9788 9 днів тому +7

    can't wait for some big mathematicians to discover the series and write a paper with weird symbols in which they prove and generate the paths for n-dimensional n-minos in a n-dimensional grid

    • @Green24152
      @Green24152 2 дні тому +1

      actually it would be n-dimensional m-minos in an o-dimensional grid

  • @ratewcropolix
    @ratewcropolix 12 днів тому +8

    3:43 very readable text

  • @xaigamer3129
    @xaigamer3129 12 днів тому +6

    8:16 tpot credits

  • @blueguns15000
    @blueguns15000 6 днів тому +1

    well now we dream of “5d chess battle advanced with multiverse time travel pentomino pathfinding”

  • @abxy_real_official_since2020
    @abxy_real_official_since2020 10 днів тому +1

    X and I casually being the absolute GODS of symmetry

  • @davidanoble
    @davidanoble 11 днів тому +3

    Once you come back to polyominoes, you should look into hex-based pentominoes. (For clarity, use hexagonal tiles instead of square tiles to form the pentominoes. (I think there are 18 of those on a 2D plane, but I only tried to figure them out in my head.)

  • @VeryMonkelol
    @VeryMonkelol 11 днів тому +3

    10:28 bro sounded like carykh for a moment

  • @quadruplay9788
    @quadruplay9788 9 днів тому +2

    small tip: you can use mods to force the player model to "swim" which makes it possible to traverse 1x1 spaces making the larger models unnecessary

  • @justbrix3458YT
    @justbrix3458YT 10 днів тому +2

    6:22 Actually, M has 2 axes of symmetry. You can make it diagonally, slicing between the 2 sticky-outy nubs

  • @Intergalacticprismaticcreature
    @Intergalacticprismaticcreature 12 днів тому +4

    First tpot 14, then this? This day can't get any better,

    • @kidkrom9427
      @kidkrom9427 12 днів тому +2

      There is one way... For Geometry Dash update 2.207 to release on mobile!

    • @WaterOnTheHill-xp3yx
      @WaterOnTheHill-xp3yx 12 днів тому

      *snap*
      So to clarify, this one's going in r/suddenlyBFDI

    • @Kguy-r6e
      @Kguy-r6e 12 днів тому +1

      And time for the 7:00 with object Unicode 1 (NOT 1A) is here

  • @bugorgans
    @bugorgans 11 днів тому +1

    YESSS MORE PENTOMINO CONTENT 💕💕

  • @Unknown-ufj
    @Unknown-ufj 12 днів тому +3

    Q AND R PENTIMENTO HAS RETURNED!!

  • @diegonals
    @diegonals 12 днів тому +3

    6:50 the A tetracube actually has a rotational symmetry, going trough a side instead of a corner

  • @thelollykitty
    @thelollykitty 6 днів тому +1

    18:08 challenge accepted

  • @deadakus
    @deadakus 12 днів тому +1

    Never have I been more upset to have aphantasia. Even seeing the cube in real time it's breaking me brain.

  • @speedy5768
    @speedy5768 10 днів тому +1

    I want the larger 3D pathfindings to be big playgrounds ❤

  • @RobynAudiomancer2
    @RobynAudiomancer2 12 днів тому +2

    part five: polytominos
    using pentominos and tetrominos together to make weirder boards

  • @Negreb25
    @Negreb25 12 днів тому +3

    YAYA, PART 4 IS HERE 🔥🔥🔥🔥

    • @NmpPnm
      @NmpPnm 12 днів тому +2

      🥵🥵🥵🥵

    • @Negreb25
      @Negreb25 12 днів тому +1

      @NmpPnm lol

  • @Roaxial
    @Roaxial 11 днів тому +2

    Your "venn diagram" of which tetracubes are in each pentacune was actually an euler diagram

  • @an_asp
    @an_asp 2 дні тому +2

    Has anyone been throwing computer search at these problems, or do people feel that to be against the spirit of the community? I'm not sure off the top of my head what sort of algorithm you'd use, something that can optimize with extreme constraint satisfaction in a highly multimodal search space. Maybe a tree search algorithm would work, placing a shape at a time? The branching factor is really high to start but diminishes fast, at least on small boards.

  • @AMudkipAmongUs
    @AMudkipAmongUs 12 днів тому +2

    Haven’t watched but it’s peak

  • @4U70_DeadAuto
    @4U70_DeadAuto 11 днів тому +1

    Don't worry about the diagram, JacknJellify uses a diagram like that in the credits

  • @tristinbell
    @tristinbell 8 днів тому +1

    My next Meet Your Maker base is gonna go crazy

  • @fuuryuuSKK
    @fuuryuuSKK 12 днів тому +4

    more *mino content wooo

  • @blockshift758
    @blockshift758 12 днів тому +1

    14:45 you can use retextured blocks. So you would only need to retexture once and then just place blocks.
    Easier keep an index on the corner of the screen with "block youre facing = pentomino" and just highlight what youre looking at.

  • @ijusttoucant4211
    @ijusttoucant4211 12 днів тому +1

    Not me reading the title as cube facepainting 💀

  • @kaderen8461
    @kaderen8461 10 днів тому +1

    i feel like someone could make a maze out of these pentominos, probably in minecraft

  • @ExzaktVid
    @ExzaktVid 5 днів тому +1

    You should put item frames pn the inside of your minecraft visualizations so you can still see through it but if you add a grey block you will see the walls more easily.

  • @Theofficialsuperkdab
    @Theofficialsuperkdab 11 днів тому +1

    6:32 MSG THE KING OF FLAVAH

  • @lolosharacarrot5507
    @lolosharacarrot5507 12 днів тому +4

    Next - sextominoes, sextacubes, septominoes, septacubes, octominoes, octacubes, nonaminoes, nonacubes, and finally decaminoes and decacubes

  • @asheep7797
    @asheep7797 6 днів тому +1

    19:45
    Please call the olive hexomino with a 3x by 5y bounding box "Rutherford B. Hayes' Hexomino" for no reason

  • @chri-k
    @chri-k 7 днів тому +1

    cursed tetris

  • @cryptkeeperkain986
    @cryptkeeperkain986 12 днів тому +1

    Welp. My yt recommended me this and I'm gawking

  • @Ppdm2011
    @Ppdm2011 3 дні тому +2

    Can you release your pentomino image pack?

  • @aykarain
    @aykarain 11 днів тому +1

    19:32 im in the video!!!!!

  • @fofosnowy
    @fofosnowy 12 днів тому +2

    next: 4D pentominoes

  • @AdrianLee-w7l
    @AdrianLee-w7l 11 днів тому +1

    This is a good video 👍

  • @8316WC
    @8316WC 12 днів тому +1

    Something i think would be cool (and something i have done myself already) is connecting dominoes so that all the pieces of a number connect (while obeying domino rules). The maximum you can do in 2D is 4. In 3D i managed to do 6.

  • @PeriodicTableLover2
    @PeriodicTableLover2 12 днів тому +2

    19:24 shouldn't the 1 and 2 be switched in the 5x5x5 pentacube pathfinding net?

  • @theodriggers549
    @theodriggers549 11 днів тому +2

    Idea: 4D pentominoes

  • @blockshift758
    @blockshift758 12 днів тому +2

    11:00 you could have used wool blocks for a more "uniform" look

  • @EHMM
    @EHMM 12 днів тому +1

    the goat

  • @30IYouTube
    @30IYouTube 12 днів тому +2

    YAAAY

  • @Insertagoodusername
    @Insertagoodusername 12 днів тому +2

    Aight but like 4D pentominoes when

  • @maverickvalderrama
    @maverickvalderrama 10 днів тому +1

    Try Triangle pentomonoes, that instead of squares, you replace them by Triangles.

  • @abdijabarkhalif
    @abdijabarkhalif 11 днів тому +1

    diapentomino ( diagonal pentominos) pathfinding

  • @KarolOfGutovo
    @KarolOfGutovo 11 днів тому +1

    Well, guess the next one will be pentatesseracts 😊

  • @d1scocubes
    @d1scocubes 11 днів тому +1

    Can you make the pentacubes out of glass as well?

  • @pugza1s731
    @pugza1s731 9 днів тому +1

    can i ask for the list of materials needed for the 6x6x6?

  • @F1e308
    @F1e308 12 днів тому +2

    What about pathfinding with only one kind of pentominoes?

  • @tempehph3364
    @tempehph3364 День тому

    When you brought out Minecraft
    Me: happy happy happy happy happy happy

  • @jaredpoettcker1639
    @jaredpoettcker1639 12 днів тому +2

    On the 5x5x5 they went 18 19 10 21 22

  • @OngHsinHaoEpps
    @OngHsinHaoEpps 11 днів тому +1

    its funny that 6 by 6 by 6 has a path of 77, while the credit says ondra77

  • @thegreatautismo224
    @thegreatautismo224 6 днів тому +2

    wtf Marble Blast music?

  • @kennyholmes5196
    @kennyholmes5196 11 днів тому +1

    Neato! Now what's it like to navigate in 4D?

  • @cicadaenthusiast3954
    @cicadaenthusiast3954 12 днів тому +1

    It's pentominover

  • @bastianrevazov7425
    @bastianrevazov7425 12 днів тому +3

    inecarfet :)

  • @echo5172
    @echo5172 9 днів тому +1

    Is it possible to expand this methodology up to 4d?

  • @schockocraft4897
    @schockocraft4897 14 годин тому

    people be talking about 4d pathfinding but what i wanna see is hyperbolic geometry pathfinding

  • @octopus_72
    @octopus_72 12 днів тому +3

    how can it be over when we haven't gotten 4d pentominoes :(

    • @2anæq
      @2anæq 12 днів тому +4

      Or 5d

    • @v.deckard
      @v.deckard  12 днів тому +3

      3d pentomino pathfinding was already hard enough to visualize as is lol

    • @octopus_72
      @octopus_72 12 днів тому +1

      @@v.deckard 4d chess, 4d minesweeper... and we gave up on this ? 🥺

    • @dootnoot6052
      @dootnoot6052 12 днів тому +2

      currently tesseracts that have solutions:
      2×2×2×2 - 6
      2×2×2×3 - 9
      2×2×2×4 - 14
      2×2×3×3 - 16
      2×2×2×5 - 17
      3×3×3×3 - 31

  • @krocodile55
    @krocodile55 12 днів тому +1

    Hmm... I wonder how hard it would be to turn the 6x6x6 pentacube pathfinding into a house.

  • @saltayjek0046
    @saltayjek0046 12 днів тому +1

    what about hyperbolic pentominos

  • @SerialDesignationF420
    @SerialDesignationF420 11 днів тому +1

    Should we do Hypercubes?

  • @antoniofigueroa887
    @antoniofigueroa887 10 днів тому +1

    8:15. Sorry to be a massive nerd but technically it’s called a Euler diagram not a Venn diagram. The reason why is because not all regions are connected.
    Edit1: also do 4-hypertorus next

  • @AlternateExtra
    @AlternateExtra 4 дні тому +1

    For April fools could you do monomino facts

  • @pixelanthony
    @pixelanthony 12 днів тому +1

    for some reason i wanna see trianglular pentominoes

  • @aykarain
    @aykarain 11 днів тому +1

    9:49 shouldnt the path start from the middle cell, which also increases the length by 1?

    • @pugza1s731
      @pugza1s731 9 днів тому +1

      rise one cube. go right right one cube. 4 becomes 3 lowering the total path length by 1

  • @calvinbarbanell2449
    @calvinbarbanell2449 12 днів тому +1

    8:33 about half of the E pentacube (in the A tetracube group) does not show up.

  • @X3m.Gaming
    @X3m.Gaming 12 днів тому +1

    wait wheres the 4d path making?

  • @lizatyob5542
    @lizatyob5542 12 днів тому +1

    PENTOMINOOOOOOOOOOOOOOOES

  • @theodriggers549
    @theodriggers549 11 днів тому +2

    I wanna do 7x7x7

  • @This_used_to_be_my_moms
    @This_used_to_be_my_moms 12 днів тому +3

    1 hour ago

  • @sgtnerf-v2d
    @sgtnerf-v2d 12 днів тому +2

    What about triominoes

    • @circumplex9552
      @circumplex9552 12 днів тому +1

      theres only two of them so it wouldnt be too interesting

  • @AniqHizqeel
    @AniqHizqeel 12 днів тому +1

    9:39 pentacube pathfinding in minecraft