E35 is a method that solves the last eight edges of the U and D layers, first three D layer edges are done and then the last five ones always preserving all corners and E-slice edges. In most cases the first part also solves the centres.
E35 is not a compleate brute force method, it uses a combination of intuition and algorithms, an advanced user even include ELL in the method to save turns in some cases but most times you end in EPLL or 5 edge permutation. It is much as Roux last step but here orientation is done after all centres are solved to make recognition easier/faster so the M-permut used last in Roux is not really useful here (you solve centres and BD before orient instead of RU/LU after).
- E3 part First pair up RD and LD edges, then place them together with R and L centres or simply do one at the time, the first one as a pair with the centre and the second using AUF M' U/U'/U2 M, last palce BD + B centre as a pair.
- E5 part this part has got two main sub-parts, first orient the edges using the Roux M' U M style (EO5, 9 cases, newer the worst 6 edge case of Roux). If possible also place FD during orientation, else do it after using M' U2 M and end in EPLL. you can also orient and permute all five edges in one go (EP5).
E35 may be used in CF if the E-slice is solved after the corners or in any method that solves columns first, like doing all pairs first and then CMLL (or CMSLL). If you want to go really advanced you orient the pairs and then use PEG. The E5 part is a stand alone method that can be used for Roux if the BD edge and centres are solved before edge permutation.
Intermediate system for E5
The intermediate system presented here is wery intuitive. you do; first orient all, then place FD and end in EPLL. For that you basicly need this:
- P = M' U2 M
- O = M' U M
- O' = M' U' M
- O2 = P
You will also need U PLL (a and b), H PLL and Z PLL
From that plus some U turns you can solve any case, example: O U P + EPLL = (M' U M) U (M' U2 M) + EPLL. O solves orientation U P places FD and then the EPLL is solved (if it did not skip, it happens 1:12 times)
The algs for some cases can be shorter if you also add this to the system:
- F() = F2 ( moves ) [u] F2
The U turn can be any U, U' U2 or no U turn depending on how U moves inside the parentesis of the "function". F(U P) makes the usual 7 turn U-PLL = F2 (U M' U2 M) U F2. F(O) is a nice way to solve orientation and place FD in one go if it is in the middle of three unoriented edges in LL, just AUF as you where about to do only O.