I built a 1.5x1.5 Rubik's Cube.
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- Опубліковано 8 вер 2024
- I create the world's first fractionally-dimensioned twisty puzzle, halfway between a 1x1 and a 2x2!
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#RubiksCube #cubing #Z3Cubing
The amount of people saying that it's just a stickered 2x2 mirror cube is wild...
To clarify, a mirror cube has different heights on all 6 sides, so each piece is a completely unique shape. This cube only has 2 different heights, so the stickers are required to tell the pieces apart!
First!
What is between a 2x2 and a 3x3 a 2.5x2.5
so its a third of a 2x2 mirror cube
@@godyusopp People who math 🍷🗿
That’s really cool! Now, make a 0x0 Rubik’s cube.
Another way you could consider what 1.5x1.5 means:
a 3x3 has 6 turns you can make
a 2x2 has 3 turns you can make
a 1x1 has 0 turns you can make
So a 1.5x1.5 should have 1.5 turns you can make. So the R face moves normally, the U face can only make 180 degree turns, and the F face is locked into place. (Or, alternatively, the U face can only move clockwise)
It would take some creative bandaging but the result would be cool and you could extend the concept for other fractions and for larger order cubes
You can sort of do something similar on a square-1
You hold the cube normally and do a z rotation
That's kind of interesting. That means that a 1.33x1.33 would only have 1 turn you could make, assuming the formula for an nxn is (n-1)*3. Not sure how you would justify fractions of a turn though, bandaging seems a little arbitrary
@@The_NSeven My reasoning is, a fully-capable layer is one that can rotate into four positions, so a half-capable layer would be one that could rotate into just two.
@@CatherineKimport Yeah that makes sense, but how would you not-arbitrarily choose which rotations it could make
So basically a square-0, but without D moves..
This is actually a visual representation of binomial squared, or (a+b)(a+b). If the smallest piece was a squared, and the biggest was b squared, the thinner in between pieces would be a squared b, (or a^2 times b), and the thicker in between pieces would be ab squared (or a times b^2). The whole thing is a squared plus 2ab plus b squared, which is binomial squared. I'm sorry for the rant, but I was so freaking excited when I saw the finished product and I couldn't resist.
Edit: It's actually binomial cubed. Sorry for the mix up.
Glad I'm not that only one who noticed
Very close, but not quite. Because a rubix cube has 3 dimensions (even if people never specify such), it would actually be a binomial *cubed*, or (a+b)(a+b)(a+b).
Its cubed, not squared.
Do a 2.5 x 2.5
now create a πxπ i bet you cant
That should’ve been the pi day special
@@ThatJellydude😂😂😂
It's a 4x4 but some pieces are 0.14 times the size of a single regular piece 😳
He has already created a -3x-3 (the inside out 3x3)
He would make a sphere
wow! could be pretty cool for challenges! 2.5x2.5 next?
thats just a mirror cube but with colours
@@thesmasher.not exactly.
@@bigbosspanda1976 i mean other than the size of the pieces it is the same and will solve the same
@@bigbosspanda1976 i mean other than the size of the pieces it is the same and will solve the same
@thesmasher. I mean, a 3x3 is the same as a mirror cube except the size of the pieces, it solves the same. Your point doesnt work, cause the mirror cube is designed to not require stickers. The 2.5x2.5 and 1.5x1.5 still require it
cant wait for the -3×-3
As an April fools joke.
What would this even be?
inside out
@@Machodave2020 A -3x-3 haha.
@@Machodave2020 technically a normal 3x3 -x * -y = +xy or so ive remember it that way
what about something in between a 3x3 and 4x4? that sounds more cursed and difficult to wrap your head around than the 1.5x1.5
πxπ
That would make a 3.5x3.5, a 4x4 but with different piece sizes
Pi by pi
0.5 x 0.5
1.5x1.5 poe
0:25 I call the o2 spinner cube the 1.5x1.5
Z3 cubing in the future: hey guys! today I'm doing 1x1 force cubes
Those are not possible.
@@TinyTornadoZno durr
@@TinyTornadoZno shit sherlock
@@TinyTornadoZ buy 6 and rearrange the stickers
hey guys and welcome back to z3 cubing. in todays video, i will create geared mixup force cubes. (Z3 "cube" twists around, Jim Yosef-Force plays from 0:50-0:53, and "cubing" text appears)
Inflation is crazy nowadays
who are you- why are you talking about that???
@@silvensilven yes
You know how $1 20 years ago is now like one and a 1/2 dollars.That's what they're talking about.
what kind?
@@plaguedoctor3 ?.. i said WHY, not WHAT.
Here's my interpretation of what 1.5x1.5 could mean:
It looks like the one you made, but turns around axes going through the center. It's equivalent to a 3x3 with some pieces glued together. There are only 28 positions you can make with it. Up to symmetry, there are only 6 of them. It isn't very interesting. However, I've seen a similar cube that is more interesting. You can get it from a 3x3 in the same way except, instead of uniting 4 pieces into one, uniting 2 of them into one and 2 into another all 3 times
a √-1 cube is inevitable
I cube.
me too! (for those who don't get the joke, i is an imaginary number which represents the value of √-1.)
but what would it be?
√-1 × √-1 would be -1 so it's the -1 cube?
APPLE IS GONNA MAKE A RUBIKS CUBE
@@Monitorbread Well, i^3 is just -i, and unless you want a 2 dimensional negative cube (i^2 = -1), then you need to use the fourth dimension, as that's where we get a positive result (i^4 = 1)
I hope you make a 2.5x2.5
get a mirror cube and sticker it
Make a 2x2.1
No, every layer has to be a different size, the 1.5 x 1.5 isn’t a 2x2 mirror cube, so a 2.5 x 2.5 won’t be a regular mirror cube
You could have bandaged a 3×3 with a big 2×2×2 block bandaged and different bandages on his sides...
It would have turned differently, but I think this turning fits the N×N cubes' turning better, even if it's hard to scramble (so easier to solve, which ALSO fits a 1.5×1.5 - in terms of difficulty of solving, between a 1×1 and a 2×2).
Also when solved it looks the same.
I think a "true" 1.5x1.5, where it looks like this mod externally but has face-centered rotation, would be trivial. When turning it, it would look like a 3x3 bandaged to only turn UFR, but every turn has to be 360 degrees before you can turn something else.
You should make a 4x4, but the inner layers are half the size of the corners. This way, it can be solved as a regular 3x3, but can also be used as a 4x4!
and can be used as a 2x2
@@ytkerfuffles6429 yep
make a 0.5x0.5, it's a 1x1, but 1/8th the volume, and only 3 colored sides, and 3 black sides
that's... going to be a 2 minute video
@@drenz1523 idc it's a good yt short tho
Wouldn't halfway between a 1x1 and a 2x2 be a 1x2? It'd be a complex design, especially if you opted for including adjustable magnets or some kind of dual spring adjustment system, but those features might be crucial for a record-setting time with the 1x2. It's a challenging puzzle to be sure, but I understand that those who learn _all_ of the necessary algorithms to solve it and perform them well, they automatically have faster times because they can pretty much guarantee a PLL skip.
I think that already exists
@@NobossySSG 😉
Well it’s halfway between a 1x1x1 and 2x2x2 so which side would be 1 and which would be 2?
my brain hurts
Firsy comment
gg
so does mine AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA *dies*
That's a cool build! This would work well for a two solution cube too!
Z3 on his way to make literally every puzzle possible to make
For your next video, please make a maglev 1.25*1.25!
(Btw your build is great)
wow dude that is awesome! I recently got into puzzle design and have made some fully 3d printed puzzles and it is cool to see a larger UA-camr like you showing some love to the cube design hobby.
2.5x2.5 next? Would be pretty interesting
You should make a mirror megaminx.
Oh god.
Hell
When you were talking about cutting down a cube, I was half expecting your better method to be starting with a small-size 3×3 cube and cement some of the faces together.
pls make a gogol x gogol rubik's cube
nah jit that will take centuries
do you mean googol? Gogol is a very famous russian writer....
the checkerboard pattern looks like a cubism painting
The blanker cube is the same but made to look like a blank 3x3.
and the 2.5 x 2.5
3.5x3.5
4.5x4.5
Skip to 3:40
since this is 3d when you double each side length you increase the actual puzzle size by 2^3 = 8 times, so the 2x2 is actually 8 times the size of a 1x1, to get in between, we would need to be 4 times the 1x1, if you take a look back at finding the shape 8 times as big as the 1x1 instead we will notice the dimensions are the cubed root of 8, so the cube root of the scale will be the new size of the each length, so the cube root of 4 is what we need, however this not only isn't an integer its not even rational(a fraction) but its around 1.5874 which is actually quite close to the value used in the video surprisingly enough
damn i can't wait for the 12,5x12,5
the weird shapes may be hard to recognize pbl cases, but they would prolly make it easier in the long run to recognize them because they are jumping out at you the whole time
technically speaking it is just a 2x2 mirror blocks
edit: nevermind lol
I was scared of that happening
Mirror cube but 2x2
Not at all! A mirror cube by definition has different heights for all 6 sides, but mine only has 2 heights. That's why every piece on a mirror cube is unique, whereas mine requires stickers to tell them apart!
@@Z3Cubingaaaahh I knew I had it wrong, I've still never seen a 2x2 mirror blocks though
Yeah, sad
This is actually kind of interesting. I wonder what this would mathematically look like if we did it correctly. I have a feeling it's not possible. It seems strongly related to the fence-post problem, as we're dealing with lengths and cuts (2x2 has 1 cut (per axis)). By scaling that logic up to 3 dimensions, we can use a formula for how many cuts an nxn should have: (n-1)*3. This formula obviously only gives integer outputs assuming integer inputs, but you can solve for any number. Like I said in another comment, a 1.33x1.33 would only have one cut, but perceptually that doesn't make really make sense. It unsurprisingly only seems like integer lengths would be possible.
It looks like the game devs improperly textured the uv mapping to me
The real 1.5 cube is 1x1.5x2
My interpretation would be that a 1.5x1.5x1.5 cube should in total, including (if any) inner subdivisions be made of 3.375 smaller cubes, so i think the closest possible would actually be 2x2x1
Waiting for the a^2 + b^2 = c^2 cube
You mean right triangle cube?!
Damn, i didnt expect shrinkflation to go this far
Oh wow I actually got to write the first comment even though I'm in Europe. Great job!
What i like abour z3 cubing's videos that they are not very long and fun
Some other cubers make thier videos long but fun or short and boring
cubehead?
@@najmikot kinda his videos are fun but alittle bit long. u can say that
@@deadcube75 ok
Just like a mirror cube but colored.
pinned comment
I was looking for this
0.5+1+1.5x0.5+1+1.5 (maybe skewed 3x3 is a better name) sounds like an amazing idea! do it!
HE STICKERED IT WRONG
He didn’t
@@JadeVoltlook at 3:42
He didn’t
@@gdplayrr he did
@@Mistyrehow? It’s blue, yellow, red going clockwise when looking at that corner. White is opposite to yellow, blue opposite to green, and red opposite to orange.
What I imagined was that it would be a 2×2 but some faces would be stitched together. Meaning that all sides have either 1 or 2 pieces per axis.
first comment hi z3cubing
No
No
@@Ostup_Burtik it was the first i saw it when that vid just relesed bro
@@FraBunny7...until you reload the page
If you take a 3x3 and cut two layers in half, then you'd have 0.5 + 0.5 + 1 layers, which adds up to two. So theoretically you could make a 2x2 out of a 3x3 by cutting down the layers
Make a 2.5×2.5 next!
Cool! At first glance it looks like a mirror cube but now I see what you mean.
you should make 7 more and stack them to make it look like a 3x3
Cool idea! I can imagine what other decimal cubes would be like.
Put magnets inside an axis cube if that's even possible. You're the man to do it Z3
0:08 1st Goal : 4096ZX
0:23 2nd Goal : 32[B (32AAB)
you could just take a 3x3x3 and bind some of the layers together with 2x2 plastic tiles and that would give you more or less the same thing (albiet wouldn't look as good)
According to a Chris Hardwick's formula in a ceiling function (due to 1×1×1), 1.5×1.5×1.5 should have total of 240 possible possitions.
Now we need an 2.5x2.5
You should invest in some MSLA printing tech, the post-processing is a bit longer (washing, curing) but the part quality is brilliant and the price of those resin machines is way more affordable now (to the point where its even cheaper than a decent fdm printer)
Good idea I might create a 0.5 x 0.5 but I don't know
You never run out of idea
I mean, with over 1400 puzzles in a collection, you could never go wrong
technically you could add another half layer to the other three sides and it'll technically be a 2x2 but it'll solve exactly like a 3x3
5:40 "Fill in this obvious gap in my collection"
12.5x12.5 when
Try making a puppet cube! Would love to see it!
This means that you could make a 3×3 with two half layers, therefore making it a 2×2. :)
I love your videos z3
Could you give us a link to the 2x2 used and the print file?
As someone who is just getting back into cubing it is crazy how I got a speedcubeshop ad before the video
Z3cubing Next, idk if this would make a fun video but if you made a maglev cube without magnets???? 😶
One Step Closer to a cuboid with an irrational number of layers
Cool cool now do a 2.5x2.5
great idea!
HEAVY SLAM WAILORD 🗣️🔥🔥🔥
FUN FACT; if you bandage a 2x2 square from a 3x3, and the other pieces which has its side by the square makes a rectangle, and things like that u can make a 1.5 by 1.5
Are the stls available? I want to make one.
Also you should invest in a vinyl cutter. It's been a game changer for my mods. I'd highly recommend it
The 0.5x1x1.5 already exists
Its called the mirror S cube
Like the mirror cube bu consistent cuts , check it out
I think it's made by moyu
Love the style of your vids! 1.5x1.5 looked good too.
Z3 have you ever heard of an Alexander's Star puzzle?
You should review the maltese gear cube
You should look into acetone smoothing for removing the 3dprinting texture
ZA REVOLUTION
Great video!! Love the end result
It's a mirror cube but a 2x2 version. You should make a mirror version of it where there is no color. That would be though.
Cant wait for spectrum of rubik appears
Can’t wait for the 3x3 piece mod 😊
also looks pretty hard
Yeah, it's a shapeshifting colored 2x2 mirror cube.
have you ever tried 3D-printing those mini-2x2 cores? maybe that would work
It actually is i think a 2x2 mirror cube with sticers
I feel like an interesting interpretation to see of a half layer would be the number of pieces on each layer. Would a 2x2 with one corner gone be a 1.75x1.75?
im not 🧢-in, he never fails to entertain us.
. ok now we gotta do a pixpi cube
3.14 x 3.14 x 3.14
hi I watched video it good👍
You could have made each layer 0.75 of normal
I think you should make the 0.5 and 2.5 rubix Cube that would be fun
Now we need the 2.5 x 2.5!
omg this is so nice❤❤❤
Have you ever thought about posting the stls for your prints in your mod videos? I would love to make this so it would really help to get the models!
1/4x1/4 cant wait for this one
this is something my adhd mind would come up with
Waiting for the 4.22284x4.22284!!!
I wonder if you could mod a 3x3 into a "2x2" with 2 half-height layers in each axis.