Special thanks goes to Lucas Garron for http://alg.garron.us, and also his contributions with SiGN notation, which allow for a much clearer way to represent this alg.Stefan-Pochman said:Stefan's new DedgeFlip
x' (Uu)' R2' (Uu)' (l2r2R2) (Uu)' L2 (Uu) (l2r2R2)' (Uu)' (l2r2R2) (Uu) L2' (Uu)' L2 (Uu) L2' (Uu) z
Found with ACube, treating the 4x4 like a Domino. I don't know whether the applet can show triple-layer turns, now it's kinda ugly. Think of it like this with U meaning (Uu) and r meaning (l'rR), and all non-U-turns being half turns:
(x' U') (R' U' r U' L U) (r' U' r U) (L' U' L U L' U) z
Nice work.SURPRISE! By simple transformation -
StefansNewDedgeFlip is equivalent to another parity alg...
Can you explain what « I'm going to pull a de la Vallée-Poussin » means ? I guess it supposed to be french, but really doesn't mean anything in french.But I'm going to pull a de la Vallée-Poussin and say that no one can really deny that my version is faster and easier to execute in practice.
Hmm, I actually can't find any sources on the intirnet, but then again old math material is hard to find.Can you explain what « I'm going to pull a de la Vallée-Poussin » means ? I guess it supposed to be french, but really doesn't mean anything in french.But I'm going to pull a de la Vallée-Poussin and say that no one can really deny that my version is faster and easier to execute in practice.
"Edge group" always works for me.I believe i (re)invented that terminology (dedge, tredge) back in about 2004. Probably in communication with Frank Morris or Chris Hardwick. One could extend to quedge etc for yet bigger cubes, but then it becomes very confusing. One could talk of UF (etc.) composite edge or something like that ...
Edge group sounds similar to edge orbital to me ..."Edge group" always works for me.I believe i (re)invented that terminology (dedge, tredge) back in about 2004. Probably in communication with Frank Morris or Chris Hardwick. One could extend to quedge etc for yet bigger cubes, but then it becomes very confusing. One could talk of UF (etc.) composite edge or something like that ...
cmowla said:Your desire for such an algorithm cannot be satisfied. As randomtoad said, it will require more moves than the best odd parity algorithms that exist already. Your best bet is to just do double layer turns with one of the pure algorithms (like everyone already does).
The ideal algorithm, which you are interested in, can be derived from an pure “edge flip” algorithm in which its ending moves are only outer-layer turns, there by making it possible to omit those last moves so that you are not doing worthless 3X3X3 restoration (as long as those moves restore only the last layer and maybe one F2L slot, as you have requested).
There is no "dedge flip" algorithm that exists (which is shorter in length than the pure edge flip algorithms) that satisfies this constraint, nor will there ever be.
Ok, I would like to share my thoughts on this recently posted (freeF2L?) parity alg. I put the /?/ in there, because it is not clear how the algorithm actually *utilizes* or takes full advantage of the unsolved front-right F2L slot. At first glance this alg appears to be rather pointless, but cmowla's cool trick that converted it to a pure OLL was very interesting to me, and so I decided to spend some time looking into it.Okay reThinker,
This algorithm is not necessarily faster than what you would hope, but I believe you will enjoy its length and its effects on a cube.
Here is a 17h/23q OLL parity (NOT DOUBLE PARITY) algorithm which utilizes the front-right F2L slot and U layer being unsolved, but flips the top-front edge. Here it is - On Even Cubes:
r U2 x' U2 x' U' 2L' U F2 U' 2L U 2R U2 2L' U2 l' x U2 2R'
Now going back to the /inner rotation free/ version of cmowla's alg, and converting all slice turns to wide turns gives: SpdCmowlaF2L?parity (17h/23q) = r U2 B2 D' l' D B2 D' l D 2R D2 l' D2 l' B2 r' x'And of course, the speed form of this algorithm is achieved if all slice turns are converted to wide (you can do the conjugates to get it in the U-layer, but remember, it's my alg no matter how you change it!). On the 4X4X4: r U2 x' U2 x' U' l' U F2 U' l U r U2 l' U2 l' x U2 r'
I am glad you are at least giving the algorithm (I am assuming cmowlaparity) a shot! You are most welcome! Sorry for the long delay for giving out sub 25q algorithms. I do have to say though, cmowlaparity is probably the fastest sub 25q there is (in my opinion).Thanks for posting, cmowla.
Very nice find. Still trying to figure out how the last part with the single U moves works. Could something similar also work for the first part?
It is not my fastest edge flip yet, but I will practice it some more.
Oh, that's perfectly understandable. We were just discussing the possibility of faster and possibly shorter OLL parity algorithms, that's all.I use this, on LL when i scan for my OLL and notice parity, I don't see why laerning a bunch of algorithms for it can be useful... then again i don't fully understand what you guys are talking about, im not that advanced...
Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 x' U2 Rw U2 Lw' x2 U2 Rw2'
No, you're really not understanding.Like, 1 alg per case? thats pretty insane... and it would mean alot of time trying to learn all... not talking about recognition while solving...?:confused:
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