Mini 4x4 Method Challenge!!!

miniGOINGS

Legend
Joined
Feb 27, 2009
Messages
3,049
Ok, here we go. I have a challenge for you guys and gals!!!

Basically, you take a 4x4 cube and scramble it using only r (slice) and U moves. The challenge is to create a Mini Method that will solve the cube every time. By "sovled" I meant that all of the centers are solved, and every edge is paired up with its other edge. The orientation and permutation of the U corners does not matter. Moves do not have to be restricted to <rU> but this is recommended. It can be intuitive, block building, algorithmic, or a combination of all three.

Your Mini Method will be graded on:
1. Number of cases/algorithms to learn.
2. Number of moves needed on average.
3. Recognition.
4. Overall speed.

Please keep in mind that this is a speedsolving method, not a FMC one.

If I have missed anything, please ask.

Good luck to all of you, whomevers I choose as the best will get props, +10 bonus points, and a virtual cookie.
 
Thanks so much!!!

Step 1: D or B center pieces.
Step 2: Solve other center (D or B) pieces while placing DB edge piece.
Step 3: Pair up F2L.
Step 4: Solve F2L.
Step 5: Solve last F center.
Step 6: Pair up edges with EO.

The last bit (OLL, PLL, Parities) are not needed for this method. Thanks!!!

The challenge is still open to anyone else.
 
Last edited:
The orientation and permutation of the U corners does not matter.

Do I understand the challenge correctly? I don't see how the corners could be misoriented (with respect to the U face) using this scrambling method. In fact, they always stay permuted properly with respect to each other.
 
The orientation and permutation of the U corners does not matter.

Do I understand the challenge correctly? I don't see how the corners could be misoriented (with respect to the U face) using this scrambling method. In fact, they always stay permuted properly with respect to each other.

You are correct. I'm just stating that if you have an alg that does something, it doesn't have to preserve the U layer corners.
 
The orientation and permutation of the U corners does not matter.

Do I understand the challenge correctly? I don't see how the corners could be misoriented (with respect to the U face) using this scrambling method. In fact, they always stay permuted properly with respect to each other.

You are correct. I'm just stating that if you have an alg that does something, it doesn't have to preserve the U layer corners.

Oh, I get it now. Sorry.
 
:p I had a very similar idea except for the 3x3: Scramble using only U and r (double layer turn) and then solve it the same way. I couldn't find a method to solving it.
 
:p I had a very similar idea except for the 3x3: Scramble using only U and r (double layer turn) and then solve it the same way. I couldn't find a method to solving it.

Yea, but this is a slice move, and you aren't restricted.
 
I tried with my usual (sandwich) method; I'm averaging in the 40s with a best single of 30.xx. I could probably go faster with a little more optimizations...
 
And now for the Mega Challenge!!!

I would like to bump this old thread of mine (only a few months, eh?) to ask about reducing parts of the 4x4/5x5 cubes into subgroups that allow fewer and fewer types of moves as the groups progress. Of course this does not have to account for parities. This is basically inspired by the Thistlethwaite algorithm for the 3x3.

In Gustavsson's method for big cubes, the last couple of steps solve the last 4 centers, and last 6 edge groups (Step 4 in the Roux method). I'm looking for alternatives. One of these is Sandwich, which I will continue looking into trying to find a way of doing 5x5 centers with Sandwich.

For 4x4/5x5, I've been thinking about the very straightforward way of reducing to a 3x3. I find this better for the 5x5, because there is no parity, and it takes advantage of easy cases better. Solve 1 of the centers, aaaaaany center. Then solve another adjacent center, in the correct spot in relation to the first center. Now solve either the LU or RU edge group (the ones that end up in those spots) and place it in between the 2 centers. With that block at DB, solve the other LU/RU edge group while solving the F center (in perspective of the other centers) with 3 columns. From here it is ELL (K4!!! :D) for the remaining edges.

From here, you can use the "2.5 look LSE" method from Stadler's site (well, it's in many places), except that the ".5" is already taken care of :). So all you really need to do is orient the edge groups (1 alg) and then permute them (1 or 2 algs/ intuitive).

So basically, if you haven't gotten my question, it's; are there any types of subgroup reduction that work well for speedsolving this part of the 4x4 and 5x5 cubes?
 
Back
Top