- Sep 5, 2003Simple solution to your 4 corners twisted problem: double-sune and

bruno (R'U2R2UR2UR2U2R'). DanK/Mirek's Z Perm is the way to go, look

up DanK video on it... so you don't end up getting a bad habit of

the brute force alg.

I'm going through the same phase, teaching a friend of mine that's

at about 50s. (Just last night planning how to line up the next 8

PLLs: he knew the 3 edge ones, so I gave him the T and Y to start

off with... A and V might be the next step).

-Doug

--- In speedsolvingrubikscube@yahoogroups.com, jasmine_ellen

<no_reply@y...> wrote:> What a very detailed reply Ryan!

edge

>

> Here's where I'm up to at the moment... I've learnt several LL

> algs -- ones that mess with the corners (which doesn't matter if

LL

> edges are oriented first). I already knew several LL edge algs

that

> preserve the corners -- I guess these are useful if the corners

are

> already done when you get to the LL.

any

>

> I already know the Sune and its mirror (can't imagine there'd be

> cuber who doesn't know this alg?!). I've learnt the algs for the

In

> three LL corner orientation positions where 2 are corrent and 2

> require twisting. Still need to learn the 2 algs for when all 4

> require twisting.

>

> I'm aiming to learn the 13 PLL if my enthusiasm lasts that long.

> case it doesn't, I planned the order that I would learn the algs.

and

> First I revised the algs that just move the edges since. I knew U

> H, but for some reason was a bit iffy with Z. After that, I just

10,

> ranked them by 'probability of occurrence'. So, of the remaining

> I've memorised the algs with a frequency of 1/9 or greater (A, R,

J,

> G). So, 7 down, 6 more to go.

about

>

> I think I need to take a break from new algs and spend some time

> getting the newly memorised algs firmly planted in my head. I'm

> finding that I can remember them without a problem, but I'm still

> taking a bit of time recognising the patterns. I'm not concerned

> though because I know that practise will fix this!

>

> Jasmine.

>

> --- In speedsolvingrubikscube@yahoogroups.com, Ryan Heise

> <rheise@p...> wrote:

> > On Mon, Sep 01, 2003 at 11:48:01AM -0000, jasmine_ellen wrote:

> > > I remembered that DanK had something like this on his site

> a

method.

> > > beginner method, an intermediate method and an advanced

> This

on

> > > is actually what I was after. Who else has something like this

> > > their site?

need

> >

> > I'll describe the beginner and intermediate methods that I once

> used.

> > They are simplications of the Fridrich last layer system. You

> to

of

> > first understand how that system works:

> >

> > http://www.ws.binghamton.edu/fridrich/system.html#last

> >

> > This general strategy, orienting first, then permuting, is good

> because

> > it is very easy to recognise the positions quickly. But instead

> > orienting all the pieces at once, you just orient the edges

first,

> and

use a

> > the corners second.

> >

> > BEGINNER METHOD

> >

> > First, orient the 4 edges (ie. make a cross). There are only 4

> patterns,

> > and one algorithm to solve them all! To view this, you need to

> > fixed width font:

already

> >

> > --- --- -x- -x-

> > -x- xxx xx- xxx

> > --- --- --- -x-

> >

> > For each pattern, apply the algorithm "R'U'F'U F R" and it will

> take you

> > to the next pattern. Eventually you will end up with a cross.

> >

> > Improvement: notice that if you apply the algorithm when you

> > have the cross, you will end up with a line. That means that you

can

> > jump immediately from the 2nd pattern to the 4th pattern by

page:

> applying the

> > algorithm backwards! So, this step should take an average of 6

> moves.

> >

> > Next, orient the corners. There are only 6 patterns apart from

> solved.

> > Look through this complete list, and find all the patterns (and

> > algorithms) that have a cross already formed:

> >

> > http://www.ws.binghamton.edu/fridrich/Mike/orient.html

> >

> > For the case when 3 corners need to be twisted, I recommend the

> Sune TM

> > algorithm from Petrus. See the applet at the top/right of his

> >

backwards:

> > http://lar5.com/cube/fas6.html

> >

> > I think it's useful to learn to twist them forwards and

> >

the

> > - R U R'U R U2 R'

> > - R'U'R U'R'U2 R

> >

> > To see that done fast, have a look at the quicktime movies at

> bottom

which

> > of this page:

> >

> > http://lar5.com/cube/speed.html

> >

> > I recommend this algorithm because one of the other orientation

> cases

> > can be solved by just applying this algorithm twice. To know

> case

RU2R'U'RUR'U'RU'R'.

> > I'm talking about, apply this to a solved cube:

> >

actually

> > Now, apply the sune (RUR'URU2R') twice:

> >

> > RUR'URU2R' + RUR'URU2R'

> >

> > Notice that the moves in the middle cancel out? So you can

> do:

time

> >

> > RUR'URU'R'URU2R'

> >

> > which is an "optimal" solution.

> >

> > Next, permute the corners (yes, before the edges). Most of the

> > there will be a 3 cycle of corners. In this case, look at the 4

do:

> sides of

> > the last layer. On one of the sides, the two last layer corners

> will be

> > matching in colour. Hold those two corners on the back side and

> >

corners

> > R'FR' B2 RF'R' B2 R2

> >

> > Now the corners should be solved. If you don't find any two

> that

If

> > match, apply the above algorithm and that should result in a

> position

> > where two corners match. Don't worry, this case rarely happens.

> you

the

> > want, you can learn a special algorithm for that case by picking

> > most attractive one from:

a 3

> >

> > http://www.ws.binghamton.edu/fridrich/Mike/permute.html

> >

> > The "Y" pattern on that page has the desired corner effect.

> >

> > Next, permute the edges. Again, most of the time, there will be

> > cycle of edges. You need to learn to cycle the edges forwards and

That's

> > backwards:

> >

> > - R2U FB'R2F'BU R2

> > - R2U'FB'R2F'BU'R2

> >

> > Sometimes, all 4 edges need to be swapped in opposite pairs.

> an

algorithms

> > easy case, so why not learn it:

> >

> > RLU2R'L' [U] R'L'U2RL

> >

> > The [U] means rotate the whole cube from the up side, 90 degrees.

> >

> > There's also a rare case where all 4 edges need to be swapped in

> > adjacent pairs. The algorithm's difficult so it's not worth

> learning.

> >

> > INTERMEDIATE METHOD

> >

> > First, orient everything like the beginner method. Then permute

> > everything like the full blown Fridrich method.

> >

> > How can you learn all the permutations? See my previous email:

> >

> > c

> >

> > There, I list which algorithms to learn first, and which

> to

orientation

> > learn last.

> >

> > ADVANCED METHOD

> >

> > You already know enough! It is not necessary to learn 40

> > algorithms. 6 is enough. Gilles Roux proved that it is possible

to

> > achieve sub-20 times with just these 6 orientation algorithms

and 13

> > permutation algorithms. He used the petrus method for the first

two

> > layers which gives you a cross automatically when you get to the

are

> last

> > layer. Using that strategy, those extra orientation algorithms

> not

> > needed.

> >

> > Ryan - << Previous post in topic