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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
2 years, 3 months ago

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Please explain it more!!!!!! Sameer Jain · 2 years, 3 months ago

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@Sameer Jain DTYW CI6 Lester Nyroh Villanueva · 2 years, 3 months ago

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@Sameer Jain 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) Rishabh Jain · 2 years, 3 months ago

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@Rishabh Jain 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. Muhtasim Dibbo · 2 years, 3 months ago

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@Muhtasim Dibbo 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 Rishabh Jain · 2 years, 3 months ago

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@Muhtasim Dibbo 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 Dimitri Leggas · 2 years, 3 months ago

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@Dimitri Leggas 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. Joseph Miller · 2 years, 2 months ago

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@Rishabh Jain Can you explain what R U R' F mean? Calvin Lin Staff · 2 years, 3 months ago

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@Calvin Lin It means rotate right face clockwise, up face clockwise, right face anticlockwise, front face clockwise Agnishom Chattopadhyay · 2 years, 3 months ago

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@Calvin Lin 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. Harsh Shah · 2 years, 2 months ago

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@Calvin Lin Right up right inverse and up inverse Shailesh Kumar · 2 years, 3 months ago

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@Calvin Lin clockwise move right face R clockwise move Upper face U anticlock right R' clock front F Rajat Maurya · 2 years, 3 months ago

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@Calvin Lin 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 Ashwath Srikanthan · 2 years, 3 months ago

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@Rishabh Jain ok Rostam Dana · 2 years, 3 months ago

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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, 3 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, 3 months ago

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@Agnishom Chattopadhyay I can agree Raghu Raman Ravi · 2 years, 3 months ago

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@Raghu Raman Ravi It can be proven mathematically Agnishom Chattopadhyay · 2 years, 3 months ago

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@Agnishom Chattopadhyay How? Krishna Jha · 2 years, 3 months ago

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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, 3 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 · 1 year, 10 months ago

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@Kaustubh Bhargao R 4 times Math Man · 1 year, 10 months ago

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@Math Man Yes. That's the easiest "IDENTITY ALGORITHM " Kaustubh Bhargao · 1 year, 10 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. Harsh Shah · 1 year, 9 months 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 · 1 year, 10 months ago

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@Abhishek Bakshi You will have to do it 62 times... Kaustubh Bhargao · 1 year, 10 months ago

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@Kaustubh Bhargao I think 63 is the number.....RU has to be done 105.. Abhishek Bakshi · 1 year, 10 months ago

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You could also repeat RUR'U' 6 times to achieve the same result. Anirudh Swaminathan · 2 years 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, 1 month ago

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what does that mean Coby Tran · 2 years, 1 month ago

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6 repetitions and the cube will resolve itself. Well Max · 2 years, 1 month ago

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Awesome Morgan Holmstrom · 2 years, 2 months ago

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any particular move can do it not only this move :P Ayush Maheshwari · 2 years, 3 months ago

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Can you explain what is RU R' F Vaibhavi Warke · 2 years, 3 months ago

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it remains same Sameeranga Patwari · 2 years, 3 months ago

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But i didn't get it !!! Sachin Sharma · 2 years, 3 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, 3 months ago

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normal position Nagendra Giduturi · 2 years, 3 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, 3 months ago

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hey are u in fiitjee south delhi??? @Rishabh Jain Kislay Raj · 2 years, 3 months ago

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@Kislay Raj no i am a commerce student from east delhi (totally opposite answer what you asked?) Rishabh Jain · 2 years, 3 months ago

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Let me give you one more Take a solved rubiks cube and do the following 6 times FRUR'U'F' Ninad Anklesaria · 2 years, 3 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, 3 months ago

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I just did it and it does get solved Abdur Rehman Zahid · 2 years, 3 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, 3 months ago

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@Rishabh Jain Try this, R'D'RD 6 times.. Same thing happens! Pankaj Joshi · 2 years, 3 months ago

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how to get fully solved cube? Aaron Paul · 2 years, 3 months ago

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@Aaron Paul VERRY VERRY EASY Lester Nyroh Villanueva · 2 years, 3 months ago

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@Aaron Paul are you saying to solve the cube or about the above mentioned stuff Abdur Rehman Zahid · 2 years, 3 months ago

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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. Ameya Salankar · 2 years, 3 months ago

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@Ameya Salankar 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.. Abhishek Bakshi · 2 years, 3 months ago

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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, 3 months ago

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@Josh Silverman You have to program it. Look at this Agnishom Chattopadhyay · 2 years, 3 months ago

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cool. i liked it Rostam Dana · 2 years, 3 months ago

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what does RU R`F mean please??? Rostam Dana · 2 years, 3 months ago

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@Rostam Dana 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... Pankaj Joshi · 2 years, 3 months ago

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it's awesome !! Tamanna Shwarno · 2 years, 3 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, 3 months ago

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RU R'U' Anmol Bhatia · 2 years, 3 months ago

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another move is F R U R'U'F' Parth Lohomi · 2 years, 3 months ago

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R U' x63 Math Man · 2 years, 3 months ago

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@Math Man Actually what are these 'R' 'U' 'F' ?? Upanshu Gupta · 2 years, 3 months ago

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@Upanshu Gupta I too don't know. Arindam Karmakar · 2 years, 3 months ago

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@Arindam Karmakar 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. C D · 2 years, 3 months ago

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R x4 , R'x4 ,.... Math Man · 2 years, 3 months ago

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@Math Man TEACH ME!!!!!!!!!! Lester Nyroh Villanueva · 2 years, 3 months ago

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@Lester Nyroh Villanueva It is a bunch at internets Math Man · 1 year, 10 months ago

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@Math Man 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 :) Kaustubh Bhargao · 1 year, 10 months ago

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@Kaustubh Bhargao i am a noob too solve a rubiks cube in 1min Math Man · 1 year, 10 months ago

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@Math Man I am an intermediate one. I can solve a cube almost in 30 sec Kaustubh Bhargao · 1 year, 10 months ago

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@Kaustubh Bhargao I do it in 40-50 seconds Abhishek Bakshi · 1 year, 10 months ago

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@Abhishek Bakshi yes i tooo want to know which method do u use ? Rishabh Jain · 1 year, 10 months ago

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@Abhishek Bakshi That's nice :) which method do you use? Kaustubh Bhargao · 1 year, 10 months ago

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@Kaustubh Bhargao 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.. Abhishek Bakshi · 1 year, 10 months ago

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@Abhishek Bakshi But i use the basic method. I want to learn Friedrich method. Please tell me from where did you learn it? Kaustubh Bhargao · 1 year, 10 months ago

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@Kaustubh Bhargao I learnt it from youtube.. Abhishek Bakshi · 1 year, 9 months ago

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@Abhishek Bakshi OK. Thanks:) Kaustubh Bhargao · 1 year, 9 months ago

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