The Infinite Combinations Of The 19x19 Rubik’s Cube
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- čas přidán 11. 12. 2020
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How many possible combinations can a 19x19 Rubik's Cube have? The number is much bigger than you think.
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/ how_many_atoms_would_i...
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My parents: still less than the distance that I had to walk to school
hehe
My dad: still less than the distance that I had to walk to get to the store
No no no he has a point
@@starstudio8402 hahah NO
lol
Fun fact:
The number of comninations still is closer to 1 then to infinity.
Indeed. Any number is closer to one than to infinity
Another crazy thing is that there are plenty of finite mathematically significant numbers that are further from this number than this number is from 1 (and it doesn’t matter how you define “distance”)
@@quarkonium3795 huh
@@LetoTheGodEmperor Thats because there is an infinite number of numbers between a number and infinity
infinity doesnt exist
I like the way how I actually learned something and I’m glad it was shown by Tingman
Ahh yes
I feel like you don’t even learn anything on online school
Same
Well he is a teacher
Ikr
Speedcubing + Vsauce type of vid = This video
Ting man : 19 × 19 is the infinite combinations
33 × 33 : hold my whole pile of cash
Hold my pieces
Rest in pieces mathematitians. And the cube too.
@JGTB0PL bold of you to assume we can even compute that number, its technically "the first number bigger than the biggest one we can write with a googol symbols*", and im saying symbols not digits so we can do shit like 10^10^10^10... googol times, and that still wouldn't be enough. To compute this number would be a feat, and to compute the number of positions of a rubiks cube that big is even worse.
@JGTB0PL tl;dr rest in pepperonis mfs
@@nanamacapagal8342 tree(tree(tree(......tree(9)))))...))) would probably be the biggest I can do with a googol symbols, but I'm sure there's something much bigger.
This video is about big numbers, but a small number is how much it costs to join to Skillshare! Use this link to get a 1 month free trial of Skillshare: skl.sh/MKR343
Can’t wait for the this awesome vid
How do you do it
I watched your big brother video, but I am still asking which cube bag do you suggest, please answer.
So, how did you calculate the number?
I like it..... By Areen (I am Monali Sarangi's son)
Love the background ( and ow yeah also the thumbnail (and ow yeah obviously the video too))
Yooooo
Hello, CubeHead. We have been expecting your arrival.
Yoooo hi milan
Yooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Sorry CubeHead it was a bit too long.
Bruh your yooooooooooooooooo is getting weak :(((((((
Tingman: 6.3 x 10^1326 is a huge number
My friend when he sees 0.001: That's so many zeros!
lol
But its nothing compared to a 33x33x33 combinations 1.159*10^4094
Once i learned about grahams number no number realy seems big anymore
Once i learned about TREE(3) grahams number is not so big anymore
@@vincent1023
Im gonna check that out now
I reckon that thumbnail is a DNF.
Lol
DNS since it looks nowhere near to solved
Your profile picture is a DNF
nah +2
@Australia If on the other side the edge is rotated too, then its a possible scramble
Ad at the beginning: Skillshare
Tingman: This video is sponsored by Skillshare
It's actually phenomenal that we know those numbers and yet can solve puzzles that complex. It really shows how incredible our minds are that every time we solve cubes, we are most likely starting from a scrambled state that we are not used to since we have never came across it before and yet, we can figure out exactly how to solve it.
It's less of "oh our minds are so mega" and more of if you break complex things down to simple things, even a monkey can do them.
@@TheBluePhoenix008 a monkey sadly wouldn't be able to do this
does that mean that when solving a 19x19 cube we are using 100% of the brain
@@VPshandlewasstolen lol, since this is a scientific vid might aswell say that the meme is scientifically false and that humans already use 100 percent of their brain
You should’ve ended with “and we’re looking for the one atom in one of those universes that is the single solved state.
It's a fun ending, but that overexaggerates the difficulty in solving the puzzle by a vast amount x3
There are in fact many solved states, as you can swap center pieces around quite a bit with the cube still being in a solved appearance.
@@Bigcubefan i thought they did the math based off of color and not individual pieces
@@arthurchase7716 I thought about this as well. Are these combinations that are achievable through sticker-exchanging or through proper rotation?
@@Bigcubefan i don’t know exactly how it’s calculated but i assume it’s possible through normal movement
When I consider your heavens,
the work of your fingers, the moon and the stars, which you have set in place, what is mankind that you are mindful of them, human beings that you care for them?
Looks like someones passing their literature test
@@SamiChenFilm yeah
Oh look it’s the guy from discord
Wut
That was a lot of combinations but the real question is; "How was the corner cutting?"
He cut no corners while figuring these numbers out
@@devonchase5498 lmao nice one
Ting man: mixes up 19x19 for thumbnail Also tingman: I regret all of my life choices
lmao
Fun fact : There are 8.1 × 10⁴⁰⁹⁹ combinations for 33 × 33 the largest cube.
And there are 2.3 × 10⁴¹²³⁵ combinations for 100 × 100 cube.
And I am not spamming random numbers there's actually a website in we can enter number of sides a cube has and it will show you the number of possible combinations.
wow
Still not as big as numbers in some Roblox games smh
What's the site?
@@queslife5641 stop talking about Roblox and enter the world of REAL incrementals
@@Xnoob545 still not close to the amount of points i have in prestige tree
“The amount of money mr beast has” should have been one of the choices for the number of combinations a 19x19 has
If anyone was curious about the start of saying the number. (Basically like 6 something)
You would start by saying 6 unquadragintaquadringentillion
RIP me for reading that
Just tell me how many googleplexs
@@figgynewton5664 Less than than a gogolplex.
This number is 6x10^1326, gogolplex is 10^10^100, or 10^100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
@@AnthonyGrain-- yeah but a googolplex is a mini number as compared to tree(tree(tree(g(Graham’s number^rayos number)))))
Tingman: This video is sponsored by skillshare
*Sad DailyPuzzles noises*
Graham joined the chat.
Tree(3) joined the chat.
yeah this 19x19 number is miniscule in comparison to those
Ok. Ok. My mind is well and truly blown. It's hard to fathom such large numbers, and the fact that we can solve it in a matter of seconds... wow. Great video, Mr Ting!
Imagine the 33x33...
TNL CUBING! im second to comment
OH GOD!!!
I love this type of “sciency” video because I am OBSESSED with science and I dream about becoming a meteorologist one day!
Edit: This is one month later and I decided that I want to be a dermatologist which is a doctor that study’s the integumentary system which is hair, skin, and nails.
Yay science! 🔭🥼🧪
Non-Cuber: ‘Yea I can still only solve 5 sides’ 😂😂
uh huh
0:32 "If you could hit the subscribe button to see my channel number go up by 1..
CZcams : Don't you worry! I'll display this dudes sub count in K's so it still shows up the same :p
ikr
4:10
7x7: Am I a joke to you?
7x7: "Yay, I'm next" 🙂
Tingman: "So how many combinations in a 19x19"
7x7: 😥
Its amazing how a puzzle that can some of us solve in a matter of seconds be the most astonishing quantity of possible combinations
When you've watched numberphile's video on Graham's Number, you realize the scale of this number is basically nonexistent compared to that number
Another way to look at the combinations of just the 3x3 is if you take one cube for every possible combination and stack them up it would create a tower over 200 light years tall. And that is just the 3x3. lol
I am happy to see you are getting sponsored by other huge companies as well!
Ps: I love these math type videos!
“Nearly a 1000 pieces”
Sooooo... we are paying $1 per piece.
1:11 that is accurate but the frasing is wrong. 43,252,003,274,856,000 is the amount of solvable scramble states. The total number of combinations(solvable or unsolvable) is around 540 Quintilian. So yeah
Correct
The radius of the hydrogen atom is 53pm, which is in fact only the second smallest atom, after helium with a radius of 31pm. This is a little less than 60%, which again cumulates to a volume of 20%.
You could hypothetically pack your universe with 5 times more helium than with hydrogen. In 20 of your universe-iterations this means your number of total hydrogen atoms would be 5^20 = 10^14 times higher. Which sounds a lot, but isnt too bad, considering the huge numbers we deal with. It wouldnt be even close to compensate one less iteration. Big numbers are weird
Edit: Great video btw!
Ohh of course I totally forgot that helium has a smaller radius than hydrogen! Thanks for pointing that out. But yes, still ridiculously big numbers hey 😂
@the raging Call of Duty player "1E.09" isn't even a number
I think you mean 1E-9???
Dude
This shocked me to the core
...
How many combinations are there in the 21x21?!
7 x 10 to the power of 2000
I loved this video! It’s so crazy because I was just thinking about the different possibilities of cubes as the layers increase!
💀
Thank you tingman for making these cube reviews and QUALITY content.
Hope you get to 100K
#Roadto100K
Wow, it must take a while to go through all the moves on the 19x19. I probably couldn't even do it in one night...
Dang, I actually learned more from this than one semester of science class...
I like this style of videos, keep them coming TingSauce!
Imagine the 33x33 cube lol
This video makes me lost in cubing, but just knowing it's possible to solve that behemoth just shows to me what humanity can accomplish.
I live in Australia: Brisbane as well and he always premieres at like 10 or 11pm 🥱
I also live in Brisbane Australia 🇦🇺
Vote in his poll then, and give your opinion where it matters and will make a difference :)
@@TNLCubing hi tom
Same here, but that means I could watch his video usually just before bed as a nice nightcap :p
Hit the barrels man, wuah, and get pitted.
The marioplex and Minecraft Universal Constant:
*rookie numbers*
A loyal theorist I see
Hello internet, welcome to CUBE THEORY
Tingman: This video is sponsored by SkillShare.
Billy: :(
It could have been a very easy video to do, without doing much. But it was made in such a great way, and that really makes the difference, thanks for the great video
It makes you wonder how they are even possible to solve when you put it into that context! nice vid!
I’m going to have to wake up early to watch this one it’s at 6:15am
5:15 for me lmao
Ok we get it
This video was absolutely amazing! I loved it a lot!
imagine the computer that went through this torture
3:15 that’s 7.4 Quattrodecillion
its a good perspective to brag our cubing skills lol
Math never ceases to blow my mind. What an incredible reality we live in.
I have not yet started solving cubes but the sheer number of possibilities in just a 3x3 literally makes me giddy
Holding the 5x5x5 be like: The whole universe is in my hand....Mwahahaha
One of the best cubing content I've ever seen 😍
Also remarkable: The 19x19x19 has 19 solved states.
.
But 18 of them are +2. 😉
I love how he’s a science teacher...but he’s giving us a math class! 😂😂
tingman- "I still can't comprehend"
Me- you can't even comprehend a 3x3's number of permutations
This is quality content for cubers who love mathematics 😍😍
Wow! Amazing Tingman, it’s awesome that you are able to work that out. I was wondering how you calculated the numbers for bigger cubes, especially the 19x19 - is there a general formula for permutations based on n, the number of the cube e.g. 2x2, 19x19 etc
Could you make a video/direct me to a site where I can see the method for this?
Thanks :)
There’s a link in the video description to where I got it!
Thanks!
at 1:04 he holds up a rubik's brand lol
Please more videos like this. So clear you are a science teacher
The possible combinations a 19x19 has is the number of subs Tingman will receive
not funny, didnt laugh
@@rahmatarisyi no one said it should be funny
@@SamiChenFilm not funny, didnt laugh
@@rahmatarisyi don't be mean bro
@@rahmatarisyi just because it aint funny for you doesn't mean it's not funny for others
Can’t wait to see the number.......
i'm just thinking about how many impossible combinations there could be, like switching and flipping pieces, and maybe switching stickers if it was stickered.
my closest answer: too much
Awesome video! Your amazing videos are the reason I started my own channel! Thank you so much.
Hey ting man fam!
ooh one dec12! 2 days b4 my birthday ;o
Great video. Such a ridiculous number of combinations. Fascinating.
Well I understand the exponential growth very nicely so this blowed me up even without listening ur analogy i was just shock when power was 1326
Examix enters.
Gyaahhhhh it’s at 3:15 in the morning
IslandBroYo for me it is at 4 pm, bad luck
I feel you pain
I wonder how many layers cube you'd need to reach at least Graham's Number possible configurations.
the regular 3x3 really doesn't have that many scrambles because it doesn't take into account different orientations of the cube.
It’s 5:15 am for me 😂
Its 16. 45 for me
4:45 p.m. for me :)
Nobody:
This comment section: *"y U ReLeAsE ViD aT NiGhT iM cRi"*
damn, this video is really well made! Good Job,Tingman!
5:11 can we just appreciate that he had to write ALL those numbers just for the video
you can calculate it using a calculator that doesnt shorten it
I ordered my rs3m 2020 and when I got that it was with wrm 2020 tutorial 👨🏫📓small folding page 😂
4:21 the FBI will be knocking
On your door your figured it out
I was expecting the number to blow up to something requiring up-arrow notation, but thankfully we're still in the countable powers of 10. Not like Graham's Number.
I LOVED & ENJOYED this video, Tingman!!! ⭐️🌈 All about Maths & Science, My Favourite Subjects. 🤩🔭🔬🧪 Thank you Tingman & I wish you Happy Holidays!!! GOD Bless!!! 🙏❤️🎄
I am so interested 🙂
You copied j prems logo
@@chamathgamage2206 buttt, it is with ribbon 🎀
@@chamathgamage2206 and I haven't copied j perms 's logo
@@manavdantkale yes you did you just add a ribbon to that
@@chamathgamage2206 it was on Google you can check ✅
Why this is at 315 am in pst
Same. Guess I’ll just watch it tomorrow morning lol
@@RowanFortier well I’m back
Time zones
@@palashneema4855 that is correct, it is due to the fact of time zones. Good job 👏
@@palashneema4855 big brain
That is insane that a toy somehow is capable of these numbers. Well done TINGMAN I learnt a lot through this video even though I am obsessed with space documentaries and can solve a Rubik's cube in under 20 seconds. Wow! Can you do this for the 33x33.👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏
Dude ur a scientist, mathamatecian, funny guy, and more lol ur are undescribable keep up the content man
Wren from the Corridor Crew made a great video about exponential growth. I think it’s a good pair with this video.
Everyone gangsta til someone beats the 19x19 Rubik's cube in 30 minutes
This is where his science teacher experience comes in which idk if he even still has
The number of 19×19 combinations is 6.3*10^1326. Technically NOT infinite.
The expression for this is:
8!*3^7/2 for the corners
*12!*2^11*24!^(8) for the edges
*(24!/(4!^6))^72 for the centers.
There is actually a number with some sort of physical tie larger than the hydrogen atom filled universe one. The smallest possible distance in physics is the plank length; the smallest size at which anything can possibly exist. The number of cubic plank lengths that can fit in the observable universe is 4.65×10^185 which is still nowhere close to the 19x19 number, but it's still big.
Do a part 2 where you talk about the total number of combinations for a 1000x1000 cube.
So your saying that we are holding the entire universe on both of our hands
My brain needs to get upgraded after this video. It will probably take as many years as there are combinations on the 19*19 to process the number of combinations on the 19*19.
wow! incredible video quality, I really enjoyed this one!
Imagine you looked in a loop and you can only get out after making every combination of every cube
Quick summary: never ever in any point in time will we ever reach a point where every combination has been achieved
I was actually trying to better understand that exact number, and I don't think it could have been put any better
My teacher : who is the best universal mathematician?
Me: Tingman!!!!
Cubers: You don’t need to be a genius to solve a Rubix’s Cube.
Tingman: Uses mathematics to figure how many combinations are the in a 19x19
I really love this video. It's like a documentary.
I love math like that! Thanks Tingman!