FJT97
Member
Wow.
Very nice work!
I definitly gonna learn from this!
Very nice work!
I definitly gonna learn from this!
Mistake under 'think outside the box' section.
Thanks, it's going to be fixed as soon as I upload the new version.You must have made this tutorial earlier but it would be unfair to Vincent Shew if you don't add his name with Sébastien Auroux in Intro. Please do the same.
Thanks for this, I think I will add a section.Overall, a very nice document.
I think one of the glaring omissions in the document is the technique of making use of symmetries and inverses in algs, where applicable. Well, I know this issue (and even cyclic shifts) is talked about briefly on page 21, but I think being aware of when you can use mirrors and inverses, or apply algs from another angle is so fundamental for FMC, that it should have its own section.
For example, an OLL case that is solved by:
R U R' U' R' F R F'
can also be solved by the mirror alg:
R' U' R U R B' R' B
This gives two possibilities for a PLL skip instead of one. (Or at least two chances of cancelling out the previous move, saving at least 2 moves.)
The double-sune OLL case has 8 possibilities. The standard alg won't change corner permutation, but all 8 3-cycles of the 4 edge pieces (preserving orientation) can be accomplished, simply from using the standard alg or its inverse, its mirror or its mirror's inverse; and applying from appropriate angles.
An A-perm can be replaced by an inverse mirror, again with the possibility of getting a better cancellation.
It's quickly mentioned under the "Other Insertions: 2 Corners and 2 Edges" subsection. Maybe I should make a longer explanation.Pure piece-swapping algs (standard J-perm and T-perm, for example) are always self-inverse, so you can always apply the inverse in place of the "normal" alg(s) that you know. This gives you another chance to get good cancellations when using these algs for insertions (or even linear finishes).
I have put this in a note in the first example for insertions. I didn't say "often" but, just pointed out it was possible in this case. I thought this would be enough, since I am not explaining commutators anyway, but just linking another tutorial for them.One other thing, in talking about corner 3-cycles, I'm not sure that it was mentioned that the same 3-cycle can often have two different 8-move commutator solutions. A good cancellation could be missed if only one of them is considered.
There is, under "Block Commutators" Also, I've linked Ryan Heise's page about them multiple times and repeatedly advised taking a look at it... I hope this is enough.It doesn't look to me that there is any mention of corner/edge pair 3-cycles.
This is interesting, but I don't know if it can be really useful in FMC. After all, an N perm is just a 2c2e swap, I think the best way to deal with it is trying to insert an algorithm. Same for other PLLs (like R, V, ...).There are some CFOP-related techniques not mentioned, though perhaps not very mainstream by experts as they tend to avoid CFOP generally. There is the technique of solving skewed corner/edge "pairs." There is also a rather obscure technique of using slot-swapping "PLLs." (Have you ever wished you could do an "N-perm" in 5 moves?)
All in all, I would say it's probably far from "complete," but at least a good solid introduction to most of the standard techniques.
I have considered it, but when I was done translating I just wanted to publish this tutorial as soon as I couldThis looks very nice! I can't think of anything obvious that's missing (although Bruce's examples of symmetries are useful), and it looks great for solvers of any skill level.
Have you considered making this a website, e.g. a page (or multiple pages) at fmcsolves.cubing.net?
In particular, being able to link to specific sections would be useful. I think this could also benefit from continual updates, which is usually more appropriate for a website than a PDF. (Although you can still provide a PDF, like we do for the Regulations.)
Not really. You said that inverses and cyclic shifts (of a 2C,2E swap alg) would would also solve a 2C,2E swap case, but did not mention that inverses of a 2C,2E swap alg will solve the exact same case. This will also be true for corner double swaps and for edge double swaps, as long as there are no "misoriented swaps" involved. (A cyclic shift, of course, will not generally solve the exact same case.)It's quickly mentioned under the "Other Insertions: 2 Corners and 2 Edges" subsection. Maybe I should make a longer explanation.
There is, under "Block Commutators" Also, I've linked Ryan Heise's page about them multiple times and repeatedly advised taking a look at it... I hope this is enough.
This is interesting, but I don't know if it can be really useful in FMC. After all, an N perm is just a 2c2e swap, I think the best way to deal with it is trying to insert an algorithm. Same for other PLLs (like R, V, ...).
FixedFootnote 1: I think you want to say "consisting of"
Roux: not sure what you are trying to say with "will make in some way complete it"
just before blockbuilding: "and other tutorials"
few lines down: missing a space between "... FMC.It ..."
just after footnote 24: "and"
edge commutators: [M' U2] is missing a comma
footnote 35: this isn't english?
footnote 51: is cut awkwardly across two pages
in cycle theory: "the posts I've linked"
footnote 64: "more in brackets" should be move
section 4: "Trying for one hour"
Thanks again
Thanks, I will add some "Get Lucky!" example.Nice tutorial.
I feel honoured that you included a link to my Human Thistlethwaite FMC thread
I have just added some examples, including my 27 HTM PB for this method, to the thread.
Some other stuff:
Under the "Get Lucky" title you could expand a bit more.
As an example:
In FMC you often work towards a F2-1
When you are there it is a good moment to try your luck:
Insert the last pair in several different ways: you may get lucky and end up with just a three cycle or 2C2E swap left.
You can also finish F2L in the shortest way and try some of the 6-7 move OLL's
You need to hunt a little for luck
Right, I should add a few lines.Not really. You said that inverses and cyclic shifts (of a 2C,2E swap alg) would would also solve a 2C,2E swap case, but did not mention that inverses of a 2C,2E swap alg will solve the exact same case. This will also be true for corner double swaps and for edge double swaps, as long as there are no "misoriented swaps" involved. (A cyclic shift, of course, will not generally solve the exact same case.)
I may consider adding this; do you have any resource to link, besides your posts in this thread? I'd like to study this technique better before writing about it, and just googling "speedsolving slot swap pll" gives this page as first result.Well, insertions are more time-consuming than simply using a memorized alg, and also not generally useful for linear FMC. I see it as another thinking-outside-the-box technique that one can consider, perhaps particularly for a linear solve or a last-minute attempt to avoid a DNF. Anyway, the idea is to end up with a shorter "PLL" alg than you would have had if you solved every F2L pair into the correct slots. In some cases you might be able to avoid an extra AUF during F2L by inserting a pair into the wrong (diagonally opposite) slot. One obvious downside is that the "skip" case is no longer a skip.
I just did a God's algorithm analysis for the 288 PLL+AUF cases. I got an average of 11.497 moves for slot-swapping PLLs, whereas for normal PLLs it is 11.642. So the overall advantage of slot-swapping PLLs is very small, and is worse in terms of best case (5 vs. 0) and also worst case (16 vs. 15). I do agree that this is a very obscure technique and don't consider its omission a big deal.
I wasn't sure what you meant by "skewed" pairs, I thought you were referring to the slot-swapping PLL thing.Your response ignored the other much more common technique that I mentioned, that of using skewed CE pairs, as in using a sequence like D R U' R' D' to solve both a corner and an edge. While the D layer moves may seem somewhat costly, if the alternative is a 6- or 7-move sequence to solve a conventional pair, it's still a win (assuming the skewed pair is solved in 5).
This is in some way an extension of the keyhole idea, except you try to solve both a corner and an edge at once, instead of only one piece at a time. With keyhole, you're tending to spend about 4 moves to solve only 1 piece. A moves-per-solved-piece ratio of 4.0 is pretty bad. For a 30-move solution, you need a ratio of 1.5 overall. In your keyhole example, you get sort of locked into having to solve a single edge piece at a time anyway with the layer-minus-a-corner start.
Ci sono anche sul forum italiano, solo che scrivo pocoPotrebbe sembrare eccessivo o ridondante farlo anche qua ma è fatto perchè sei più su questo forum che su quello italiano.
Volevo ringraziarti molto perchè finalmente questo lavoro mi ha dato una grossa spinta ed ha avviato un positivo processo che spero non si arresti più. Forse mancavo di coraggio o forza di iniziativa, forse avevo solo paura che rimanesse una cosa a metà come le molte altre che ho (quasi) fatto.
Mi viene da ripensare a quell'obbrobrio che feci a Monterotondo. Acqua passata. Spero di ricominciare in positivo
Vorrei romperti il meno possibile ma se posterò mie solve sul thread italiano risponderai o sarebbe meglio secondo te proporle su questo forum, anche per un discorso di maggior confronto?
Dimmi tu se potrebbe essere produttivo o se solo lasciata passare come la solve del primo che capita-->non la guardiamo e commentiamo l'ultima di Sebastiano.
Ti ringrazio anche in anticipo per la risposta. A presto,
Davide
*for non italian user: sorry but the message was too long and I can't translate it in english, it's too complicate for me, not only long.
I wasn't sure what you meant by "skewed" pairs, I thought you were referring to the slot-swapping PLL thing.
This is really something I should add. I've just realized I don't mention multislotting in any way, another thing I need to study more before writing about (or maybe I can just explain what it is and link some good resources).
Yes I understand (and sometimes use) this particular case, but there are many other algorithms that fall in the "multislotting" category, of which I don't know many (I think).Do the scramble D R U R' D'. Bruce sometimes calls the UFL-UF piece a "skewed c/e pair", or "skewed slot".
Maybe this is enough explanation for you.
This is best speedcubing tutorial i've ever seen, great job! Contains a lot of interesting techniques!
I'm pretty sure the T-perm + corner twist algorithm in the 2C2E section is wrong. This is what happens