tl;dr: 143 OBTM 141 OBTM 135 OBTM (2017-10-31) 134 OBTM (2018-05-15) 130 OBTM (2018-05-20).

I finished writing a 5x5x5 solver about three weeks ago, and in the time since I've mostly been working on trying to get a "good" upper bound for the 5x5x5 God's number in OBTM. I'm not entirely satisfied with this analysis, because according to...

5x5x5 OBTM upper bound]]>

STM bound of 26 moves is one move less than the best I could find (27 according to this spreadsheet)...

Loopover god's number upper bounds: 4×4 (25 STM), asymptotics (O(N log^2 N)), etc.]]>

We will completely ignore the tips in this analysis, because they're trivial and boring. If you care about the tips a lot, you can just add 4 to the numbers here as appropriate. We split solving the master pyraminx into two steps: (i) reduction to Jing's pyraminx and (ii) solving Jing's pyraminx.

Excluding the tips, there are four types of pieces on the master pyraminx, with exactly these restrictions:

- 4 corners...

Master pyraminx God's number bounds]]>

In this scramble I have the Red/Blue F2L pair I can match to the blue center. I also have the Orange/White LD pair (I’m disregarding the Yellow/Green LD Pair on top for now, but that could be used as well). The one possible disadvantage I can think of by using the F2L pair is I would...

Roux First Block LD Pair or F2L Pair?]]>

The reasons behind this:

- There is a high chance for slice move insertions to solve bad edges.
- Many bad edges can be solved for free due to a large amount of move cancellations.
- Not too difficult to solve intuitively, meaning multiple HTORs can be checked for good finishes in FMC.

Half Turn Only Reduction Method | HTORoux]]>

We are looking for an alg to describe U' in terms of U, D, R, L, F, B, i.e., clockwise quarter turns without repetition and each turn can not be followed by the opposite layer. Note. If we can do that for U', we can also do it for any other layer by transposing the turns.

2. Secondly, perhaps it's easier if we allowed...

Is it possible to generate a solution with only clockwise turns?]]>

OLL Algorithm Generation]]>

From any angle]]>

Please post here.]]>

I am ask for help.

I am a beginner of Rubik, I hope to write a python program for the following robot.

I use the ptyhon package from here:

https://github.com/muodov/kociemba

example...

Can kociemba or other method solve the Rubik in 5 faces turn only?]]>

I'm in the seek of all the 5 edge commutators (EO preserve preferably) like this one:

R2 F2 R2 U' x 2

(all the cycle shifts are already taken into account)

So if you have any commutator (8 mover or fewer even better) is really well appreaciated.]]>

Anti-NS - Skewb]]>

I can flip two pairs at a time, but that means I get stuck with a single pair, as in the attached photo. Is this a commonly...

Curvy Copter shape: Is it possible to jumble a single corner and center like so?]]>

Converting algorithms to letters?]]>