yay thankyouall MU 5-cycles with UF buffer:
found from a post by Oleg
6 movers are fun to learn:
M' U M U' and variations
r U r' R U' R' and variations
also this: (R2 U' R2 F2)2
not all groups of 4 targets are 5-cycles, but for the ones that are:yay thankyou
Time to upgrade to 5-style! lol
how many total cases are there for edges counting non MU cases? and corners?
and also, is there an intuitive way to understand these? I guess some of them are two comms canceled into each other, but for most of them it looks like you have to memorize them
oh yeah should've knew that. But for big cube centers it's 23*22*21*20*19, right?not all groups of 4 targets are 5-cycles, but for the ones that are:
first target can be any of 22, second can then be 20, then 18 and 16, so 126,720 I guess
then for corners it's 21*18*15*12 = 68,040
THIS! it will no way ever be practical in any BLD solving...Would any of them be worth learning? 4 movers are obviously awesome, but the chances of a given 5-cycle coming up in a solve are 1 in 126,720-ish.
I guess you could learn all the M'UMU' variations. With 1 move setups, I think that leaves you with a 1 in 6336 chance of it coming up in a solve.
Corners have almost half the cases, but still, it seems like any 5-cycle is too rare to be used effectively (you're waiting 10,000 solves for one you know to come up, then pause for 3 seconds recognizing it)
For big cube centers you don't have two adjacent targets on the same faceoh yeah should've knew that. But for big cube centers it's 23*22*21*20*19, right?
What about movecount?
If people used full 5style I think execution would be significantly faster.
brilliant idea. Let's call it Cale's bigbld center method. CBCM(you could learn like 1 alg for every order of faces and do face turns for really easy setup moves)
I noticed there's a lot of short corner 4 cycles. Mainly I've been thinking about them as means to solve last cycle + parity.Also, would 4 cycles work?
I mean for 3x3 you could do algs that do a 2 swap of edges (like UB and UL) and a 4 cycles of corners(like UBL>UBR>FDR>BDL) Not sure if this would be good. Also, this would require you to memorize in sets of 3 letters (which might be more efficient).
And then for cycle breaks like (UBR>FUR>UBR) you could do something like R U R2 F R F' R U' R' F' U F ( i learned that from Jay)
Nope i don't think so, it only works sometimes, if the piece goes back to the correct sticker on the bufferIt also occured to me that one could solve parity in the middle of corners, making it a lot more likely that you get a chance to use a 4-cycle
Not sure what you mean with twisted cycle...Nope i don't think so, it only works sometimes, if the piece goes back to the correct sticker on the buffer
If it's a "twisted cycle" then it wouldn't work
Oh yeah you're right it still works. I was just confusing something else with thisNot sure what you mean with twisted cycle...
I think it should always work. Your corner memo is a series of targets that you solve in a specific order. In 3-style you solve them two at a time and a single target at the end if you have parity. A 4-cycle would solve 3 targets and swap 2 edges (fix parity). Let's say your corner memo is ABCDEFG. What's the difference if you solve the corner targets as AB - CD - EF - G or AB - CDE - FG?
We can even reduce the number with nicer setups. For setups, I am trying to use the concept of shapes to make recognition easier. DocFor big cube centers you don't have two adjacent targets on the same face
and if you do the targets on each face in alphabetical order it would also reduce the cases by a lot
an upper limit if you assume no U layer targets would be 20*16*15*15 = 72,000
5-style centers might actually work because of highly reduced cases and super easy setups (you could learn like 1 alg for every order of faces and do face turns for really easy setup moves)