In 3 dimensions, there's cubers. In 2 dimensions, there's squarers. In 1 dimension, there's liners. In 0 dimensions, there's ers.

@Player-ux4ke

Жыл бұрын

In -1 dimension, there's sre

@trendygaming795

Жыл бұрын

In -2 dimensions there are srenil

@Player-ux4ke

Жыл бұрын

@@trendygaming795 in -3 dimensions, there's srebuc

@meep_poggerson

Жыл бұрын

@@Player-ux4ke lol

@Player-ux4ke

Жыл бұрын

@@meep_poggerson do you think thats the end? NO! 4D is tesseracters meanwhile -4D is sretcaresset

For those who asking what is easier than 1×1 rubik's cube. The answer is 0d and 1d rubik puzzle. 😎👍

@person4119

Жыл бұрын

Everything’s easier than the 1x1 it’s the hardest puzzle smh

@geeteevee7667

Жыл бұрын

@@person4119 bruh the 1x1 is always solved because there’s no mechanism lmao. But is is the hardest puzzle to scramble because it can’t be scrambled

@lennystudios3.14

Жыл бұрын

@@geeteevee7667 yeah but it’s so difficult I can’t solve it

@WolfWarrior01

Жыл бұрын

@@geeteevee7667r/Woooosh, its a joke in the entire cubing community

@DaLou1e

Жыл бұрын

@Gigachad I can confirm this

1:37 I like how it's just minecraft blocks. 2:33 the memes makes the whole video better.

@RowanFortier

2 жыл бұрын

Thank you 🙏 I tried super hard on this video :)

@Flightkitten

Жыл бұрын

we call minecraft blocks "cubes"

@Parshovvv

Жыл бұрын

@@Flightkitten actually minecraft blocks are just called blocks

if we ignore the factorial (which doesn't make sense in negative dimensional space), you could make it so negative dimensional Rukik's cubes are fucntionally similar to their positive counterparts, but have 1 dimensional lower stickers, which would be one higher in magnitude. eg: a -2d cube would have -3d stickers and look like a square surrounded by 3 cubes on each side... I don't think it would affect how it operates as a puzzle though

@wingdinggaster6737

Жыл бұрын

Factorial actually does function in the negative, look it up on youtube

@want-diversecontent3887

Жыл бұрын

@@wingdinggaster6737 Not negative integers, since it goes to infinity

@wingdinggaster6737

Жыл бұрын

@@want-diversecontent3887 but it does pass through integers, so you could have a cube with non-integer dimensionality (look up fractal dimensional on youtube, theres a good 3b1b video on the topic)

@BleachWizz

Жыл бұрын

n! = n.(n-1)! 0! = 0.(-1!) can't divide by 0 so -1! switches places. 1/-1! = 0 this is weird so just do as √-1, let it be. now watch it: -1! = -1.(-2!) 1/-2! = -1.(1/-1!) moving on... 1/-3! = -2.-1.(1/-1!) 1/-4! = -3.-2.-1.(1/-1!) so the reciprocal of negative integer factorials can be all written based on the reciprocal of negative one factorial regardless of it existing or not. which I think is pretty fun.

@ilikecodyfromtotaldrama

Жыл бұрын

''Rukik''

Woa, I did not expect to hear about the gamma function in a cubing video. As a math nerd it is one of my favs, shows up as the solution to a lot of interesting integrals.

Hi Rowan in your video you mentioned negative integer dimensions that don't give a value because of the vertical asymptote but how about the values (could be non-integer) that will give you a positive integer on the graph assume that the negative 2.137469... dimension gives you a positive integer value such as 9 which will then be 9 pieces on each side of the cube on that dimension.

@RowanFortier

Жыл бұрын

Hmmm that's interesting. Some negative numbers squared are equal to positive numbers, yeah. But I'm not sure at all what that would mean for the number of pieces or anything 🤯

@petros_adamopoulos

Жыл бұрын

@@RowanFortier Maybe what he means is that some negative numbers have an integer factorial, such as -2.13824709508197...! = 7. I think an approach worth trying is to work out the generalized formula for the amount of pieces, configurations, etc, given any number of dimensions. Starting with the positive ones and trying to extrapolate to negative and non-integer dimensions. Doesn't matter if the cube is realizable, imaginable, or not, just to see if it makes sense mathematically.

I never thought that by watching a rubik's cube video I would find out about complex shapes. That's insane, thanks! 💪🤣

U cant rotate a one dimension line in a one dimension space *Proceeds to die☠️*

Thanks for telling me about the factorial function because I didn’t know about the factorial until now. But thanks!

bros now gonna invent a 1.5 dimensional cube 💀

I have always been thinking what if a cube went into the negatives, like a -2x-2 would it be like a black hole or rip in space time?

@RowanFortier

Жыл бұрын

Absolutely

@drippymissouri

Жыл бұрын

Only in odd dimensions, like 1d and 3d, because in 2d, -2×-2 = 4 and not negitice

@marcusmelander8055

Жыл бұрын

If you increase the length of a 1d line, the length increases that amount. A 2d square has an area that decreases with the square of the side length, that is, the area is the side length squared. A 3d cube has a volume whose side length increases with the cube of the side length. Notice how each time, the equivalent measure of area/volume/whatever is proportional to the side length to the power of the dimension. If we want to expand the idea of dimensions to negatives, for example, a -2d square, we need to think of an object whose area is proportional to the inverse of the square side length, aka the side length to the power of -2. How you'd do that, and what that'd look like, who knows, but it's a good starting place for creating something negative dimensional. As for black holes, totally correct, since anything with a side length of 0 in any negative dimension would have to have 1/0 area.

@marcusmelander8055

Жыл бұрын

I haven't finished watching the video idk why I responded

@familiamarquez3219

Жыл бұрын

Or complex numbers. What would a 3+4i×3+4i cube look like?

This is so cool

In 0 dimensions, there are pointers. In 1 dimension, there are liners. In 2 dimensions, there are squarers. In 3 dimensions, there are cubers. In 4 dimensions, there are tesseracters.

Nice thoughs about other dimensions.

you could try a fractal, those can have non integer dimensions

@TechSY730

Жыл бұрын

Well, it depends on your definition of "dimension". (Even if you already know this, this comment may be useful for later readers) If we are talking about topological dimension (the "usual" meaning of dimension, the max number of directions you can have and stay orthogonal), then fractals still have an integer one of those. Like the Sierpinski Triangle still has a topological dimension of one. However, by "how much does it grow if you increase scale by 2x", Hausdorff dimension, you do get non-integers for many fractals. Like the Sierpinski triangle will have a Hausdorff dimension of log(3)/log(2) ≈ 1.585. But what matters for how we build a rubix cube/square/whatever, we are interested in the number of unique independent directions, which for fractals would still be an integer.

I was looking forward to the net of a cube in 2-dimensional space and how it would function as you solved it

You can have fractional dimensions and have fractal puzzles, idk but could be cool. for example, a serpinski triangle is roughly 1.585

@Marvin-ho1vo

Жыл бұрын

1.585 what? Apples? Bananas

@molybd3num823

Жыл бұрын

@@Marvin-ho1vo 1.585D

1:46 Minecraft carpet texture 😂

0th dimensional Rubik's Cube has -1st dimensional stickers

Mathematicians when they solve some problem: fuck it, negative

2d rubixcube stickers look like unconnected minecraft glass panes

what is the song called for the 1d dimensional cube?

the 0d rubics cube is like a 3d 1x1x1 rubics cube tbh

4:40 had me cracking up

@MarioLopez-tp2gi

11 ай бұрын

btw 0d would be

what if negative dimensions was deleted space. Imagine a rubix anticube (yes, -3d, anticube) And it was just a void in the shape of a cube, with certain "void colors" like the eyes detecting not how much light is there, but how much light was taken away. I doubt you could touch it though.

I subbed

The fact I've actually heard of a lot of these things before is funny to me

Topologically speaking, that is mathematically, the Rubik's cube is really 2-dimensional, I mean it. You can "spherify" it (such round versions do exist), and then pieces are just tiles whose movements are restricted to the surface of a sphere (called a 2-sphere). At no point do you need to "solve" anything inside that sphere, so. On a lighter note, and this is literally true 3D-cube : Hi, my name is 3x3x3, what's yours? 0D-cube :

@RowanFortier

Жыл бұрын

That's true. You can call a 3D cube a 2D sliding puzzle embedded on the surface of a sphere. Also if you're going by the exponents, then: 3^3 = 3x3x3 3^0 = 1 3^(-1) = 1/3 🤔

This reminds me of stuff I would have mused about during highschool. Pretty fun!

The 4 4 complex polytope is the same as a 4d cubes isn't it? It has the same graph. Maybe some additional properties of this object could be used to makes rules reducing the way a 4D cube can be turned.

@RowanFortier

Жыл бұрын

No. It’s made of complex lines, whereas the hypercube is made of 8 cubes

If you have a 2.5 dimensional cube, is that enough to do rotations in? :P Hm... how could we interpret that? There’s fractal dimension of fractals, but that doesn’t seem to fit nicely with like, finite numbers of pieces? I don’t see a clear way to give this a good meaning..

a square is my favourite three dimensional cube

@NYUSmanChannel

Жыл бұрын

Square is 2d bruh

Hey Rowan what is that shape called that looks like a diamond at 8.09

@spencerdumlao1654

11 ай бұрын

It’s not a kite

I feel like a Rubio puzzle in hyperbolic space should be doable

The 4D cube is called a tesseract

@RowanFortier

Жыл бұрын

Indeed

If u split a -1 dimensional line into 2, youll get 2 lines taht is the same size of the first Formula: log2(n) = -1 Dimensional calculations: 1/2^-1 = 2 Scale^dimention = mass

3:48 you put red yellow and blue and its the puzzle to swap place with every line with another

What about interlocking 2d Circle Puzzles

You're welcome meep_poggerson for making your comment went popular

4d rubiks cube You solve inside and outside 💀

@RowanFortier

Жыл бұрын

So true 💀

yes the stickers of a stickered rubik's cube is a minecraft carpet block 1:49

hey, can you help me scramble my 3? 3x3x3? no. my THREE.

3D rubiks cube is 0D 1D 2D all together zero is the center of the cube. One is the edges of the cube. Two is is the individual parts and that makes the rubiks cube.

-1 dimensional rubix cube: just nothing

why 3D sticker on video are shown as a purple carpet from minecraft?

Message to the creator: there is already a 2 dimensional Rubik's cube called loop over by Cary huang, he is also the creator of Bfdi with his brother Michael huang

@RowanFortier

4 ай бұрын

message to amypotter8519: I know of loopover, but it is not a 2d rubik's cube. it's a completely different puzzle on a different geometry and topology. please watch the video again

wow

You said that non integer number dimensions make no sense Have you heard of fractal dimension

"you cant scramble 2d rubiks cube without mirroring" loopover:

What if we make them out of Venn diagrams? instead of it being a straight line, we just used curved lines instead

@U20E0

Жыл бұрын

that could actually make a functional 2D puzzle, but it would not be a rubik’s square

the video bar kinda looks like an unequal 9 (1d 9x9)

0:52 Wait a second, you're not trying to sneak in bits of group theory without actually saying, are you? 😉

@RowanFortier

Жыл бұрын

Nah, I don't know anything about group theory yet 💀

In 2d you can rotate something around a dot.

If there is a 10d Rubik's cube the stickers are 9d also if there a 9d Rubik's cube the stickers are 8d also if there is a 8d Rubik's cube the stickers are 7d also if there is a 7d Rubik's cube the stickers are 6d also if there is a 6d Rubik's cube the stickers are 5d also if there is a 5d Rubik's cube the stickers are 4d also if there is a 4d Rubik's cube the stickers are 3d and also the 3d Rubik's cube the stickers are 2d if there is a 2d Rubik's cube which is a 2d Rubik's square but the stickers are 1d if there is a 1d Rubik's cube which is a 1d Rubik's line but the stickers are 0d if there is a 0d Rubik's cube which is a 0d point but the stickers are -1d

4D: 3X3X3X3 3D: 3X3X3 2D: 3X3 1D: *3* 0D: 3:3 -1D: 3:3:3(?) -2D: 3:3:3:3(??) -3D: 3:3:3:3:3(???) -4D: *3:3:3:3:3:3(????)*

Couldn't you just disassemble the 3x3x3 into the 3x3 ,the 3, and the 0 cubes? You just first remove the front and back layers. And you are left with the visible core and 1d lines for stickers

@RowanFortier

Жыл бұрын

Sure, I guess. But then it still exists in 3D space, while trying to look like lower dimensions

Did anyone else miss understand and click cause you though he was gonna talk about a 2x2 cube and a 1x1 cube and some how explain the negative versions

The 2 dimensional cube is basically a floppy cube

i love how he just explains us how to use a 'normal' rubiks cube

@RowanFortier

Жыл бұрын

It’s for the dimensional analogies

Swapping places of the one-dimensional lines on the one-dimensional cube And you look like doctor strange

4 dimension was a tesseract!

Many people still use 3x3 to refer to the 3d puzzle.

Make a -9d rubix cube

The good old 3:28

bro it stops being a cube past 3d

How about 4d rubix cubes

What is easier thana 0d cube and 1d cube well it is actually a 10d cube

3d: 3x3x3 2d: 3x3 1d: 3 0d: -1d: �̴̡̨͇̮̼̖̜̗͍̻͈̻̪͕̙̠̦͕̙̠̼̘̤͉̗̟̯̩̗̖̆̐̉̈̔̌̔̄̓͌̈̔̒͗̋͆͋̀́̿̾̚͜͝͝͠ͅ�̶̪̇̅̈̈́̌̓͑͆͆̈̅̂͋̕͘̕͝͝

@junebugrobotics

Жыл бұрын

-1d: 3÷3

@vasileiospanagiotisdouzeni7213

Жыл бұрын

0d: 3:3

@Four4bfdi

Жыл бұрын

-2d 3÷3÷3

@vasileiospanagiotisdouzeni7213

Жыл бұрын

-3D:3÷3÷3÷3

A 0d is like the 1x1x1

Wow I can solve those way easier than a 3d cube.

5:20 Like a 1 by 1

the 3

@RowanFortier

2 жыл бұрын

yes

@NYUSmanChannel

Жыл бұрын

@@RowanFortier when you said minus d In my head: "oh, 2d is 3×3, 1d is 3, 0d is 1, so -1d is 1/3, -2d is 1/3×3"

For 2D rubik's cube just use the scramble picture

1:45 purple carpet? *MINECRAFT CONFIRMED*

@RowanFortier

Жыл бұрын

yes 💀

What about, say, 2.5 dimensions?

@dergecko92

Жыл бұрын

How the f-

@mohamedazadabdulrahman3226

Жыл бұрын

there's squaravotsquarers

@Four4bfdi

Жыл бұрын

half squares crying in the corner

@panthererousse

10 ай бұрын

14.5884572681 pieces (excluding core) and 25.9807621135 stickers

A 1x3x3 its a 2d 3x3 but without top and bottom stickers.

How about -1d

wouldn't a 2D 3x3 just be a 3x3x1?

@xirolyfe

Жыл бұрын

2d shapes like squares don't have volumes, but rather areas. the volume of a square would be 0 due to the lack of depth. a 2d can be considered a 3x3x0 in terms of volume, but simplified to just 3x3 because depth doesn't exist in a 2d world.

4:51 *3*

What about the? -infinity. Dimension.

In 3 dimensions, that's a square

The -3x-3x-3 should look like a normal Rubik’s cube but it would become outside-in inside-out which that you prototype is not gonna work as that is completely incorrect as to these correct facts

The one piece!!!

¿Who was interested in the negative dimensions?

Wait, whats a -3 dimensions

in no one going to notice that at time 3:11 the colour scheme is wrong

How about -all?

R u voice actor of Lollipop BFB

@RowanFortier

10 ай бұрын

No, idk what that is

fractal rubix cube?

Why are you calling the center the "core" and the edges the "centers"??

@RowanFortier

Жыл бұрын

because a piece with 0 colours is a core, and a piece with 1 colour is a center

Negative is so there is no Negative rubix cube.

0:34 In 3 Dimensions it’s a *square* In 2 dimen- *Huh*

also fun fact, carykh actually made a 2D rubix cube that is playable (on a website) idk if it's still playable, but he made a video on it

@RowanFortier

11 ай бұрын

Yeah I love loopover! It is a very good puzzle that is more like a 15-puzzle on the surface of a torus. An actual 2D Rubik's Cube is like the one I showed in the video

@Mr_Joe_theidiot

11 ай бұрын

@@RowanFortier oh, i see, thanks for clarifying!

my brain: if 3d=3x3x3, 2d=3x3 and 1d=3 then maybe 0d = 3/3 (=1) and -1d = 1/3 -2d = 1/9 -3d = 1/27

@bagyalaxmidornala7188

4 ай бұрын

Great intuition , but how can you make a half peice?

So what about -3.7980122+2.4480521i dimensions? Huh? HUH?

Loop Over By Carkh: am i a joke to you

In 3 dimensions that's a square

The music is too loud. It's a shame, because you talk about very interesting things.

negative dimensions doesn't make much sense

My Brain cant compherhand hypercubing.