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 : \( R U R' F \)

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 : \( R U R' F \)

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TopNewestPlease explain it more!!!!!! – Sameer Jain · 2 years, 8 months ago

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– Lester Nyroh Villanueva · 2 years, 7 months ago

DTYW CI6Log in to reply

– Rishabh Jain · 2 years, 8 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)Log in to reply

– Muhtasim Dibbo · 2 years, 8 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.Log in to reply

– Rishabh Jain · 2 years, 7 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 timesLog in to reply

– Dimitri Leggas · 2 years, 7 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.htmlLog in to reply

– Joseph Miller · 2 years, 6 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.Log in to reply

– Calvin Lin Staff · 2 years, 7 months ago

Can you explain what R U R' F mean?Log in to reply

– Agnishom Chattopadhyay · 2 years, 7 months ago

It means rotate right face clockwise, up face clockwise, right face anticlockwise, front face clockwiseLog in to reply

– Harsh Shah · 2 years, 7 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.Log in to reply

– Shailesh Kumar · 2 years, 7 months ago

Right up right inverse and up inverseLog in to reply

– Rajat Maurya · 2 years, 7 months ago

clockwise move right face R clockwise move Upper face U anticlock right R' clock front FLog in to reply

– Ashwath Srikanthan · 2 years, 7 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 clockwiseLog in to reply

– Rostam Dana · 2 years, 7 months ago

okLog in to reply

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). – Joseph Miller · 2 years, 7 months ago

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These moves are trivial. Any algorithm operated repeatedly on a cube will result back in the Original configuration in finite repeatitions. – Agnishom Chattopadhyay · 2 years, 7 months ago

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– Raghu Raman Ravi · 2 years, 7 months ago

I can agreeLog in to reply

– Agnishom Chattopadhyay · 2 years, 7 months ago

It can be proven mathematicallyLog in to reply

– Krishna Jha · 2 years, 7 months ago

How?Log in to reply

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 – Rowthu Vijayakrishna · 2 years, 7 months ago

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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!!!!!!! – Kaustubh Bhargao · 2 years, 2 months ago

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– Math Man · 2 years, 2 months ago

R 4 timesLog in to reply

– Kaustubh Bhargao · 2 years, 2 months ago

Yes. That's the easiest "IDENTITY ALGORITHM "Log in to reply

I found out that there are many such moves such as moving a solved cube 16 times with R U R' F B. – Harsh Shah · 2 years, 1 month ago

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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 – Abhishek Bakshi · 2 years, 2 months ago

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– Kaustubh Bhargao · 2 years, 2 months ago

You will have to do it 62 times...Log in to reply

– Abhishek Bakshi · 2 years, 2 months ago

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

You could also repeat RUR'U' 6 times to achieve the same result. – Anirudh Swaminathan · 2 years, 5 months ago

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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. – Ron Glumpy · 2 years, 5 months ago

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what does that mean – Coby Tran · 2 years, 6 months ago

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6 repetitions and the cube will resolve itself. – Well Max · 2 years, 6 months ago

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Awesome – Morgan Holmstrom · 2 years, 6 months ago

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any particular move can do it not only this move :P – Ayush Maheshwari · 2 years, 7 months ago

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Can you explain what is RU R' F – Vaibhavi Warke · 2 years, 7 months ago

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it remains same – Sameeranga Patwari · 2 years, 7 months ago

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But i didn't get it !!! – Sachin Sharma · 2 years, 7 months ago

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R= right side clock wise U= upper side clock wise R'=right side anti-clock wise F= front side clock wise – Mayur Desai · 2 years, 7 months ago

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normal position – Nagendra Giduturi · 2 years, 7 months ago

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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. – Taehyung Kim · 2 years, 7 months ago

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hey are u in fiitjee south delhi??? @Rishabh Jain – Kislay Raj · 2 years, 7 months ago

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– Rishabh Jain · 2 years, 7 months ago

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

Let me give you one more Take a solved rubiks cube and do the following 6 times FRUR'U'F' – Ninad Anklesaria · 2 years, 7 months ago

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not just only RUR'F , it works for almost all algorithms provided they are 4 moves – Murtuza Akhtari · 2 years, 7 months ago

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I just did it and it does get solved – Abdur Rehman Zahid · 2 years, 7 months ago

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Do any random move repeatedly and it will get solved eventually not for this move only – Pranav Jain · 2 years, 7 months ago

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@Rishabh Jain Try this, R'D'RD 6 times.. Same thing happens! – Pankaj Joshi · 2 years, 7 months ago

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how to get fully solved cube? – Aaron Paul · 2 years, 7 months ago

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– Lester Nyroh Villanueva · 2 years, 7 months ago

VERRY VERRY EASYLog in to reply

– Abdur Rehman Zahid · 2 years, 7 months ago

are you saying to solve the cube or about the above mentioned stuffLog in to reply

You all can even try

R' D' R D. I think it works with almostallof the algos. The number of times you have to do it may differ. – Ameya Salankar · 2 years, 7 months agoLog in to reply

– Abhishek Bakshi · 2 years, 7 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..Log in to reply

Is there a way to predict how many times you have to do the move to get back to solve? – Josh Silverman Staff · 2 years, 7 months ago

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this – Agnishom Chattopadhyay · 2 years, 7 months ago

You have to program it. Look atLog in to reply

cool. i liked it – Rostam Dana · 2 years, 7 months ago

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what does RU R`F mean please??? – Rostam Dana · 2 years, 7 months ago

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– Pankaj Joshi · 2 years, 7 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...Log in to reply

it's awesome !! – Tamanna Shwarno · 2 years, 7 months ago

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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? – Victor Song · 2 years, 7 months ago

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RU R'U' – Anmol Bhatia · 2 years, 7 months ago

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another move is F R U R'U'F' – Parth Lohomi · 2 years, 7 months ago

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R U' x63 – Math Man · 2 years, 7 months ago

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– Upanshu Gupta · 2 years, 7 months ago

Actually what are these 'R' 'U' 'F' ??Log in to reply

– Arindam Karmakar · 2 years, 7 months ago

I too don't know.Log in to reply

– C D · 2 years, 7 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.Log in to reply

R x4 , R'x4 ,.... – Math Man · 2 years, 7 months ago

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– Lester Nyroh Villanueva · 2 years, 7 months ago

TEACH ME!!!!!!!!!!Log in to reply

– Math Man · 2 years, 2 months ago

It is a bunch at internetsLog in to reply

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 :) – Kaustubh Bhargao · 2 years, 2 months ago

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– Math Man · 2 years, 2 months ago

i am a noob too solve a rubiks cube in 1minLog in to reply

– Kaustubh Bhargao · 2 years, 2 months ago

I am an intermediate one. I can solve a cube almost in 30 secLog in to reply

– Abhishek Bakshi · 2 years, 2 months ago

I do it in 40-50 secondsLog in to reply

– Rishabh Jain · 2 years, 2 months ago

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

– Kaustubh Bhargao · 2 years, 2 months ago

That's nice :) which method do you use?Log in to reply

– Abhishek Bakshi · 2 years, 2 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..Log in to reply

– Kaustubh Bhargao · 2 years, 2 months ago

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

– Abhishek Bakshi · 2 years, 2 months ago

I learnt it from youtube..Log in to reply

– Kaustubh Bhargao · 2 years, 2 months ago

OK. Thanks:)Log in to reply