Pentacubes & Cube Face Pathfinding

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  • Опубліковано 12 лис 2024

КОМЕНТАРІ • 152

  • @v.deckard
    @v.deckard  3 дні тому +108

    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 3 дні тому +3

      Really funny

    • @aykarain
      @aykarain 2 дні тому +1

      lol

    • @ElijahsAnimationChannel
      @ElijahsAnimationChannel 2 дні тому +1

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

    • @Joshplays-Games
      @Joshplays-Games 2 дні тому +1

      Try 4 dimenional

    • @Breuhh
      @Breuhh 2 дні тому +1

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

  • @TheGlaiveDominatrus
    @TheGlaiveDominatrus 3 дні тому +57

    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)

  • @randomlol-ya3063
    @randomlol-ya3063 2 дні тому +11

    I can't wait for 4D pathfinding

  • @MemeAnt
    @MemeAnt 3 дні тому +55

    Well well well
    Time for pentatesseracts

    • @diegonals
      @diegonals 3 дні тому +9

      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 3 дні тому +3

      What about hexatesseract?

    • @MemeAnt
      @MemeAnt 3 дні тому +1

      @ sounds very fun indeed

    • @kylezdancewicz7346
      @kylezdancewicz7346 3 дні тому +3

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

    • @abdijabarkhalif
      @abdijabarkhalif 2 дні тому +3

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

  • @lr0dl012
    @lr0dl012 3 дні тому +49

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

  • @Breuhh
    @Breuhh 3 дні тому +11

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

  • @dootnoot6052
    @dootnoot6052 3 дні тому +19

    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 3 дні тому +2

      I wanna see!

    • @dootnoot6052
      @dootnoot6052 3 дні 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 3 дні тому +3

      obsessivr compulsive disorder

    • @alesonbrjk
      @alesonbrjk 2 дні тому +2

      @@Intergalacticprismaticcreature good luck seeing them

    • @Intergalacticprismaticcreature
      @Intergalacticprismaticcreature 2 дні тому +2

      @@alesonbrjk i am 4d creature 👽

  • @abxy_real_official_since2020
    @abxy_real_official_since2020 День тому +1

    X and I casually being the absolute GODS of symmetry

  • @haraldmbs
    @haraldmbs 3 дні тому +16

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

  • @h3nry_s71ckm1n
    @h3nry_s71ckm1n 3 дні тому +7

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

  • @quadruplay9788
    @quadruplay9788 12 годин 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

  • @quadruplay9788
    @quadruplay9788 12 годин тому +4

    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

  • @lego_by_leo
    @lego_by_leo 3 дні тому +15

    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 3 дні тому +3

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

    • @Randomcelesteenthusiast
      @Randomcelesteenthusiast 2 дні тому +2

      is there somewhere I can find these solutions?

    • @The360MlgNoscoper
      @The360MlgNoscoper День тому

      @@blockshift758it already used every piece

  • @ValkyRiver
    @ValkyRiver 3 дні тому +15

    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.

  • @gpisthebest
    @gpisthebest 8 годин тому

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

  • @beagle_uah
    @beagle_uah 3 дні 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  3 дні 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 20 годин тому +2

      ​@@v.deckard narnia

  • @davidanoble
    @davidanoble 2 дні тому +2

    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.)

  • @MELoNIKASZ_.................
    @MELoNIKASZ_................. 3 дні тому +11

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

  • @BillelAktouf-pz7bc
    @BillelAktouf-pz7bc 3 дні тому +5

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

  • @PotatoImaginator
    @PotatoImaginator 3 дні тому +5

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

  • @wun_zee3599
    @wun_zee3599 3 дні тому +6

    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 2 дні тому +2

      Much more confusing.

    • @wun_zee3599
      @wun_zee3599 2 дні 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...

  • @lock_ray
    @lock_ray 2 дні тому +3

    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.

  • @NikoThePancake
    @NikoThePancake 3 дні тому +3

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

  • @speedy5768
    @speedy5768 День тому +1

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

  • @xaigamer3129
    @xaigamer3129 3 дні тому +5

    8:16 tpot credits

  • @milkb4thecerealgames
    @milkb4thecerealgames 3 дні тому +4

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

  • @bearcub7681
    @bearcub7681 3 дні тому +11

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

  • @justbrix3458YT
    @justbrix3458YT День тому +1

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

  • @SilverMoon-rr9fo
    @SilverMoon-rr9fo 3 дні тому +4

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

  • @MasterMal
    @MasterMal 2 дні 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

  • @ratewcropolix
    @ratewcropolix 3 дні тому +8

    3:43 very readable text

  • @kengyangtan
    @kengyangtan 2 дні тому +2

    AHHH I WAS SO EXCITED FOR THIS BUT I FORGOT

  • @kaderen8461
    @kaderen8461 День тому +1

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

  • @bugorgans
    @bugorgans 2 дні тому +1

    YESSS MORE PENTOMINO CONTENT 💕💕

  • @maverickvalderrama
    @maverickvalderrama День тому +1

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

  • @diegonals
    @diegonals 3 дні тому +3

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

  • @Intergalacticprismaticcreature
    @Intergalacticprismaticcreature 3 дні тому +3

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

    • @kidkrom9427
      @kidkrom9427 3 дні тому +2

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

    • @WaterOnTheHill-xp3yx
      @WaterOnTheHill-xp3yx 3 дні тому

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

    • @Kguy-r6e
      @Kguy-r6e 3 дні тому +1

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

  • @blockshift758
    @blockshift758 3 дні 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.

  • @Negreb25
    @Negreb25 3 дні тому +3

    YAYA, PART 4 IS HERE 🔥🔥🔥🔥

    • @NmpPnm
      @NmpPnm 3 дні тому +2

      🥵🥵🥵🥵

    • @Negreb25
      @Negreb25 3 дні тому +1

      @NmpPnm lol

  • @KarolOfGutovo
    @KarolOfGutovo 2 дні тому +1

    Well, guess the next one will be pentatesseracts 😊

  • @AMudkipAmongUs
    @AMudkipAmongUs 3 дні тому +2

    Haven’t watched but it’s peak

  • @d1scocubes
    @d1scocubes 2 дні тому +1

    Can you make the pentacubes out of glass as well?

  • @VeryMonkelol
    @VeryMonkelol 2 дні тому +2

    10:28 bro sounded like carykh for a moment

  • @Unknown-ufj
    @Unknown-ufj 3 дні тому +2

    Q AND R PENTIMENTO HAS RETURNED!!

  • @fuuryuuSKK
    @fuuryuuSKK 3 дні тому +4

    more *mino content wooo

  • @PeriodicTableLover2
    @PeriodicTableLover2 3 дні тому +1

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

  • @8316WC
    @8316WC 3 дні 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.

  • @kennyholmes5196
    @kennyholmes5196 2 дні тому +1

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

  • @4U70_DeadAuto
    @4U70_DeadAuto 2 дні тому +1

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

  • @F1e308
    @F1e308 3 дні тому +2

    What about pathfinding with only one kind of pentominoes?

  • @lolosharacarrot5507
    @lolosharacarrot5507 3 дні тому +4

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

  • @deadakus
    @deadakus 3 дні тому +1

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

  • @saltayjek0046
    @saltayjek0046 3 дні тому +1

    what about hyperbolic pentominos

  • @Insertagoodusername
    @Insertagoodusername 3 дні тому +2

    Aight but like 4D pentominoes when

  • @pugza1s731
    @pugza1s731 19 годин тому +1

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

  • @RobynAudiomancer2
    @RobynAudiomancer2 3 дні тому +2

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

  • @EHMM
    @EHMM 3 дні тому +1

    the goat

  • @cryptkeeperkain986
    @cryptkeeperkain986 3 дні тому +1

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

  • @AdrianLee-w7l
    @AdrianLee-w7l 2 дні тому +1

    This is a good video 👍

  • @aykarain
    @aykarain 2 дні тому +1

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

    • @pugza1s731
      @pugza1s731 17 годин тому +1

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

  • @antoniofigueroa887
    @antoniofigueroa887 День 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

  • @fofosnowy
    @fofosnowy 3 дні тому +2

    next: 4D pentominoes

  • @SerialDesignationF420
    @SerialDesignationF420 2 дні тому +1

    Should we do Hypercubes?

  • @aykarain
    @aykarain 2 дні тому +1

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

  • @cicadaenthusiast3954
    @cicadaenthusiast3954 3 дні тому +1

    It's pentominover

  • @30IYouTube
    @30IYouTube 3 дні тому +2

    YAAAY

  • @Theofficialsuperkdab
    @Theofficialsuperkdab 2 дні тому +1

    6:32 MSG THE KING OF FLAVAH

  • @ijusttoucant4211
    @ijusttoucant4211 3 дні тому +1

    Not me reading the title as cube facepainting 💀

  • @theodriggers549
    @theodriggers549 2 дні тому +2

    Idea: 4D pentominoes

  • @krocodile55
    @krocodile55 3 дні тому +1

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

  • @echo5172
    @echo5172 8 годин тому

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

  • @abdijabarkhalif
    @abdijabarkhalif 2 дні тому +1

    diapentomino ( diagonal pentominos) pathfinding

  • @calvinbarbanell2449
    @calvinbarbanell2449 3 дні тому +1

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

  • @bastianrevazov7425
    @bastianrevazov7425 3 дні тому +3

    inecarfet :)

  • @blockshift758
    @blockshift758 3 дні тому +2

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

  • @Roaxial
    @Roaxial 2 дні тому +1

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

  • @theodriggers549
    @theodriggers549 2 дні тому +2

    I wanna do 7x7x7

  • @Toy_Bonnie_FNaF2
    @Toy_Bonnie_FNaF2 2 дні тому +1

    What about cuboids?

  • @jaredpoettcker1639
    @jaredpoettcker1639 3 дні тому +2

    On the 5x5x5 they went 18 19 10 21 22

  • @X3m.Gaming
    @X3m.Gaming 3 дні тому +1

    wait wheres the 4d path making?

  • @IsaacTGamer
    @IsaacTGamer 3 дні тому +1

    9:10 maicra

  • @This_used_to_be_my_moms
    @This_used_to_be_my_moms 3 дні тому +3

    1 hour ago

  • @3345dbshockwave
    @3345dbshockwave 3 дні тому +2

    13:54 It shows 10 instead of 20

  • @sgtnerf-v2d
    @sgtnerf-v2d 3 дні тому +2

    What about triominoes

    • @circumplex9552
      @circumplex9552 3 дні тому +1

      theres only two of them so it wouldnt be too interesting

  • @octopus_72
    @octopus_72 3 дні тому +3

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

    • @2anæq
      @2anæq 3 дні тому +4

      Or 5d

    • @v.deckard
      @v.deckard  3 дні тому +3

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

    • @octopus_72
      @octopus_72 3 дні тому +1

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

    • @dootnoot6052
      @dootnoot6052 3 дні 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

  • @OngHsinHaoEpps
    @OngHsinHaoEpps 2 дні тому +1

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

  • @lizatyob5542
    @lizatyob5542 3 дні тому +1

    PENTOMINOOOOOOOOOOOOOOOES

  • @YohanTheEgg
    @YohanTheEgg 3 дні тому +1

    bruh 3 hours ago is 6 am

  • @humanperson2375
    @humanperson2375 3 дні тому +1

    does this mean we need a minecraft creative mode server?

  • @AniqHizqeel
    @AniqHizqeel 3 дні тому +1

    9:39 pentacube pathfinding in minecraft

  • @pixelanthony
    @pixelanthony 3 дні тому +1

    for some reason i wanna see trianglular pentominoes

  • @Endy_Starflyer
    @Endy_Starflyer 3 дні тому +2

    The I pentomino could be considered a 1D pentomino, so there really are the same number of 2D and 3D pentominos: 1 1D, 11 2D, and 11 3D!

  • @greenbirdmusic7495
    @greenbirdmusic7495 3 дні тому +1

    next up: hyperbolic pentomino pathfinding
    (joke)

    • @DJruslan4ic
      @DJruslan4ic 3 дні тому +2

      5D pentomino pathfinding with multiverse time travel

  • @MichaelAutism
    @MichaelAutism 3 дні тому +3

    Sub 3 gang

  • @juliecabral3827
    @juliecabral3827 3 дні тому +1

    Part 5

  • @msolec2000
    @msolec2000 2 дні тому +1

    So, three letters without a pentacube... They are... C, D, and O

  • @therealelement75
    @therealelement75 День тому +1

    k looks like a, uhhhh, yeah, I won't say it

  • @temmie5764
    @temmie5764 2 дні тому +1

    Now do 4d :ascending to heaven:

  • @YourstruelyLoL
    @YourstruelyLoL 2 дні тому +1

    2:57 not anymore

  • @goddessdeedeebubblesofimag7789
    @goddessdeedeebubblesofimag7789 2 дні тому +1

    Minecraft jumpscare