# Amazing move !!!

on a fully solved rubik's cube make the following move continuously 10 times

you will find that first the cube get scrambled at some parts then eventually it get solved

the move is : $R U R' F$

Note by Rishabh Jain
4 years, 9 months ago

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I found out that there are many such moves such as moving a solved cube 16 times with R U R' F B.

- 4 years, 3 months ago

What would be the biggest number of steps required to get a cube back in solved state for a 4-lettered algorithm...and what would be the algorithm.....i found that R'U is a big one

- 4 years, 4 months ago

You will have to do it 62 times...

- 4 years, 4 months ago

I think 63 is the number.....RU has to be done 105..

- 4 years, 4 months ago

There exist much more moves like this:

L'ULU do this 5 times

U'R 62 times

UL'U'L 6 times

RU'L'U 27 times

M'U 8 times

M'UM'U' 6 times

R2L2 12 times

and many more ........................................

Happy Cubing!!!!!!!

- 4 years, 4 months ago

R 4 times

- 4 years, 4 months ago

Yes. That's the easiest "IDENTITY ALGORITHM "

- 4 years, 4 months ago

You could also repeat RUR'U' 6 times to achieve the same result.

- 4 years, 7 months ago

Technically, this will happen no matter what sequence of moves one makes. It may take longer or shorter than 10 iterations, but because there are a finite number of positions for the cube, it has to eventually return to its original state.

- 4 years, 7 months ago

what does that mean

- 4 years, 7 months ago

6 repetitions and the cube will resolve itself.

- 4 years, 8 months ago

Awesome

- 4 years, 8 months ago

any particular move can do it not only this move :P

- 4 years, 9 months ago

Can you explain what is RU R' F

- 4 years, 9 months ago

it remains same

- 4 years, 9 months ago

But i didn't get it !!!

- 4 years, 9 months ago

R= right side clock wise U= upper side clock wise R'=right side anti-clock wise F= front side clock wise

- 4 years, 9 months ago

normal position

- 4 years, 9 months ago

Doing the same move multiple times creates a subgroup of all moves, so by lagrange's theorem, the number of time you must repeat the move divides the number of possible combinations of the rubik's cube.

- 4 years, 9 months ago

hey are u in fiitjee south delhi??? @Rishabh Jain

- 4 years, 9 months ago

no i am a commerce student from east delhi (totally opposite answer what you asked?)

- 4 years, 9 months ago

Let me give you one more Take a solved rubiks cube and do the following 6 times FRUR'U'F'

- 4 years, 9 months ago

not just only RUR'F , it works for almost all algorithms provided they are 4 moves

- 4 years, 9 months ago

I just did it and it does get solved

- 4 years, 9 months ago

Do any random move repeatedly and it will get solved eventually not for this move only

- 4 years, 9 months ago

@Rishabh Jain Try this, R'D'RD 6 times.. Same thing happens!

- 4 years, 9 months ago

how to get fully solved cube?

- 4 years, 9 months ago

VERRY VERRY EASY

- 4 years, 9 months ago

are you saying to solve the cube or about the above mentioned stuff

- 4 years, 9 months ago

The order of a sequence of moves is a matter of determining the effect on the sub-cubes as a permutation using disjoint cycle notation, then the order is the LCM of the cycle lengths. For $RUR'F$ the effect on the sub-cubes is a a 2-cycle on edge FR; a 5-cycle on edges UF, UL, UB, FL, and FD; and a 5-cycle on the 4 corners of the $F$ face (FUL, FUR, and FDL), and FDR. The LCM of 2, 5, and 5 is 10. Of note would be the maximal order which is 1260 of which $DF'DR'U^2$ is an example with shortest possible length in HTM (Half-Turn Metric, where turns of $90^\circ, 180^\circ,$ and $270^\circ$ are considered a single move).

- 4 years, 9 months ago

Those who know non commutative algebra can easily figure it out that each generator (RUR'F) forms a normal subgroup of order (here 10).
find n such that (RUR'F)^n=identity (means doing nothing on the cube) Eg: (RUR'F)^2=RUR'FRUR'F, among these some comnbinations can be replaced by other moves. Finally one can show (clever manipulations), (RUR'F)^10=Identity

Always Keep your total cube orientation in a fixed position during the moves. R- Right side face clockwise rotation U- upside face clockwise rotation R'- Right side face anti-clockwise rotation F-Front face clockwise rotation

- 4 years, 9 months ago

You all can even try R' D' R D. I think it works with almost all of the algos. The number of times you have to do it may differ.

- 4 years, 9 months ago

you could just take a cube and keep doing U R repeatedly and get the original configuration back.....but u need to have the patience as you have to do it quite many times..

- 4 years, 9 months ago

These moves are trivial. Any algorithm operated repeatedly on a cube will result back in the Original configuration in finite repeatitions.

Staff - 4 years, 9 months ago

I can agree

- 4 years, 9 months ago

It can be proven mathematically

Staff - 4 years, 9 months ago

How?

- 4 years, 9 months ago

Is there a way to predict how many times you have to do the move to get back to solve?

Staff - 4 years, 9 months ago

You have to program it. Look at this

Staff - 4 years, 9 months ago

cool. i liked it

- 4 years, 9 months ago

what does RU R`F mean please???

- 4 years, 9 months ago

R means rotating the right face clockwise.. R' means to do the same in anticlock direction... U, F, D, B, L mean up, front, down, back, and lesft respectively...

- 4 years, 9 months ago

it's awesome !!

- 4 years, 9 months ago

Am I right in thinking that the number of moves given in any algorithm with as many moves as possible but repeated over a number of times, the number of times cannot be a prime number?

- 4 years, 9 months ago

RU R'U'

- 4 years, 9 months ago

another move is F R U R'U'F'

- 4 years, 9 months ago

R x4 , R'x4 ,....

- 4 years, 9 months ago

TEACH ME!!!!!!!!!!

- 4 years, 9 months ago

It is a bunch at internets

- 4 years, 4 months ago

Are you a speed cuber?

Which method do you use?

IF you use the CFOP method please tell me from where did you learn it?

I want to learn the same.Suggest me a better site for this.

Thank you :)

- 4 years, 4 months ago

i am a noob too solve a rubiks cube in 1min

- 4 years, 4 months ago

I am an intermediate one. I can solve a cube almost in 30 sec

- 4 years, 4 months ago

I do it in 40-50 seconds

- 4 years, 4 months ago

yes i tooo want to know which method do u use ?

- 4 years, 4 months ago

That's nice :) which method do you use?

- 4 years, 4 months ago

I use the common friedrich method, F2L, 2 look OLL and PLL, I don't remember PLL very well that's why it takes so much time..

- 4 years, 4 months ago

But i use the basic method. I want to learn Friedrich method. Please tell me from where did you learn it?

- 4 years, 4 months ago

- 4 years, 3 months ago

OK. Thanks:)

- 4 years, 3 months ago

R U' x63

- 4 years, 9 months ago

Actually what are these 'R' 'U' 'F' ??

- 4 years, 9 months ago

I too don't know.

- 4 years, 9 months ago

They are codes to tell you how to move the Rubik's cube. F is for Front. R: Right. L: Left. U: Under. F means turn the front side 90 degrees clockwise. F' means turn the front side 90 degrees anticlockwise.

- 4 years, 9 months ago

- 4 years, 9 months ago

DTYW CI6

- 4 years, 9 months ago

there is nothing to explain just solve the rubik's cube and apply the given algorithm (it won't help you to solve the cube its just a magic move)

- 4 years, 9 months ago

ok

- 4 years, 9 months ago

Can you explain what R U R' F mean?

Staff - 4 years, 9 months ago

THESE R THE TYPES OF MOVE- R - MEANS TO MOVE RIGHT HAND SIDE OF CUBE VERTICALLY UPWARDS. U - MEANS TO MOVE THE UPPER SIDE OF CUBE TO THE LEFT SIDE. R' - MEANS TO MOVE RIGHT HAND SIDE OF CUBE VERTICALLY DOWNWARDS. F - MEANS TO MOVE THE FRONT SIDE OF THE CUBE TO THE RIGHT SIDE.

- 4 years, 9 months ago

Right up right inverse and up inverse

- 4 years, 9 months ago

clockwise move right face R clockwise move Upper face U anticlock right R' clock front F

- 4 years, 9 months ago

R- rotate the right face clockwise, U- rotate the top face clockwise, R'- rotate the right face anti-clockwise And F- rotate the front face clockwise

- 4 years, 9 months ago

It means rotate right face clockwise, up face clockwise, right face anticlockwise, front face clockwise

Staff - 4 years, 9 months ago

All algorithms when repeated enough times on a solved cube result in a completely solved cube. You can do any specific set of moves repeatedly without moving the cube and it'll get back together eventually.

- 4 years, 9 months ago

That's actually not how that works. Significant group theoretic work went into understanding the Hamiltonian circuit of the Rubik's cube: http://bruce.cubing.net/ham333/rubikhamiltonexplanation.html

- 4 years, 9 months ago

Bruce's work is impressive (I have worked with Bruce on other Rubik's Cube related mathematics), but not relevant to Muhtasim's comment. Rubik's Cube can be represented by a permutation group of finite order. From Lagrange's theorem, all elements (any sequence of face turns) starting from the identity (the solved cube) have an order (how many times the sequence is repeated before returning to the identity, or solved state) that must divide the order of the group. Since the group representing Rubik's Cube is finite, the order all its elements must therefore be finite. So, any sequence of moves applied to a solved cube will return to the solved state after a finite number of repetitions.

- 4 years, 8 months ago

but can u tell me how number of moves affect the number of times that you should that move like just in my example its 10 times

- 4 years, 9 months ago