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This alone has insane amounts of info and will keep you occupied for months probably.
Concepts like Edge orientation, block building, premoves, NISS, insertions etc. are all very important.

After DR you want to learn Half Turn Reduction too which is basically just doing a DR on another axis with some limitations. However there are lots of tips and tricks but unfortunately I couldn't find a clear document about that topic while starting to learn it a month or so ago. I might write something about it myself after I have practised some more with it.

I just tied my FMC PB and I'm pretty happy with it. Any advice is more than welcome since I'm kind of a beginner to FMC.

Scramble: D R B2 F2 D2 R' B2 F2 D2 L' B2 L2 B2 F U L' B L' B R' B

R' D' L // Square (3/3)
F' U' F' // 2x2x2 (3/6)
L2 B2 D B2 D2 + B // 2x2x3 (6/12)
L' D' L2 B' L' B // F2L-1 (6/18)
F' D' R' D R F // EO (6-1/23)
F' D2 F D2 F' D F // AB3c (7-1/29)

+ = D' L U L' D L U' L' // (8-1/36)

Final Solution:
R' D' L F' U' F' L2 B2 D B2 D L U L' D L U' L' B L' D' L2 B' L' B F' D' R' D R D2 F D2 F' D F

I just tied my FMC PB and I'm pretty happy with it. Any advice is more than welcome since I'm kind of a beginner to FMC.

Scramble: D R B2 F2 D2 R' B2 F2 D2 L' B2 L2 B2 F U L' B L' B R' B

R' D' L // Square (3/3)
F' U' F' // 2x2x2 (3/6)
L2 B2 D B2 D2 + B // 2x2x3 (6/12)
L' D' L2 B' L' B // F2L-1 (6/18)
F' D' R' D R F // EO (6-1/23)
F' D2 F D2 F' D F // AB3c (7-1/29)

+ = D' L U L' D L U' L' // (8-1/36)

Final Solution:
R' D' L F' U' F' L2 B2 D B2 D L U L' D L U' L' B L' D' L2 B' L' B F' D' R' D R D2 F D2 F' D F

Well, I'm not an FMC expert, so I won't comment on most of the solve, but insertion finder says your insertion can be three moves better with a perfectly human-findable commutator.

Reconstructions of my 27.00 mean at Cambridge Challenge 2022.
32, 24, 25

32
S: R' U' F U' D R U D R2 B U L2 U' R2 D' B2 D' F2 D2 R' U2 F R' U' F

U D2 B // EO (3/3)
(U' R) U2 F2 U' F2 U2 D' R // DR (9/12)
D' B2 D L2 U // HTR-2E4C (5/17)
(B2 F2 U R2 U') // HTR (5/22)
(R2 L2 D2 L2) // 3E (4/26)
ok so at this point I know I have at least a 6-2 (at the very end), so a 30, which isn't very good so I tried looking for other things, and end up finding a 22 to 2e2e+e, so that seems more promising, turns out the best I could find is 8-0 which left 30 to e, which is worse than 30 to solved, but I spent all my time on trying to insert the 2e2e, so I quickly return to the solution I had written above and with less than a minute left inserted a 6-0 (didn't have time to do the right version of the alg which would have given 6-2. anyway glad I didn't DNF it, but overall horrible solve. moral of the story, if I see a 30 I should just write it down just in case even though it's bad, I get a bit too obsessed with throwing out ~30 move solves early on because I think I'm gonna find something better.
U D2 B U2 F2 U' F2 U2 D' R D' B2 D L2 U [1] L2 D2 L2 R2 U R2 U' F2 B2 R' U
[1] = U2 F' B L2 F B' (6-0), although actually a 6-1, but I didn't have enough time to write the cancellation
F B' U2 F' B L2 would have given the 6-2

solution: U D2 B U2 F2 U' F2 U2 D' R D' B2 D L2 U U2 F' B L2 F B' L2 D2 L2 R2 U R2 U' F2 B2 R' U

24
S: R' U' F L U' B2 U' L2 U' R2 D U2 R2 F U F2 D2 B' D' B2 R U' R' U' F
(L' F R' B) // EO (4/4)
(D' L U2 L2 D' L B2 L) // DR (8/12)
(R2 D' L2 U') // HTR (4/16)
(L2 D2 F2) // 2E2E (3/19)

F2 D2 L2 U L2 D R2 [1] L' B2 L' D L2 U2 L' D B' R F' L
[1] = R2 D2 B2 R2 B2 D2 R2 B2 (8-3)

solution: F2 D2 L2 U L2 D' B2 R2 B2 D2 R2 B2 L' B2 L' D L2 U2 L' D B' R F' L

I'm pretty happy with this one, although IF found a 21 with a 8-6 and a 6-6, I need to start trying to use two algs for one alg cases like 2e2e more often.

25
S: R' U' F U2 L B D' B2 U' L D F' R2 F' L2 B L2 U2 F L F' R' U' F
R' U D' B // EO (4/4)
U2 L2 U' R U2 R' // DR (6/10)
(U') F2 B2 D R2 B2 D' // HTR (7/17)
U2 L2 B2 L2 B2 // 22 TO E

R' U D' B U2 L2 U' R U2 R' F2 B2 [1] D R2 B2 D' U2 L2 B2 L2 B2 U
[1] = F2 U D' L2 U' D (6-3)

solution: R' U D' B U2 L2 U' R U2 R' B2 U D' L2 U' D2 R2 B2 D' U2 L2 B2 L2 B2 U

so with this one I am pretty disappointed in the insertions, I was trying to slice it down, but I wrote some parts of it down wrong, and also kept misscrambling so kinda ran out of time to slice it down, could have been a 22 if I was able to.

overall I'm glad I didn't DNF the first solve (I had though I wrote down the insertion wrong, but thankfully didn't), and was able to get PR mean and get my first FMC win! Looking at this my best possible mean (if I did optimal insertions) was 30,21,22 = 24.33, so I know I have a lot of room for improvement in the future.

bonus! on the last one the optimal solution follows a logical DR solve and uses one of the EOs I had written down, obviously nobody found it, but I believe that if enough people were doing this scramble, or it was in a week long FMC competition, someone would have.
D R' D' R' // EO (4/4)
U' D' // DR-2E3C (2/6)
F L2 F2 U F' U' // DR w/ inserted F (6/12)
D2 B' U2 L2 D2 B' // FINISH (6/18)

I just made my attempt at the Weekly FMC comp (Week 12) and got a DNF and don't know why.
This was the scramble: R' U' F U2 F' U2 B' F2 U2 B2 R2 F D2 L U R' B F U2 F2 R' D' B2 R' U' F
and this is my solution: L D R2 D' R2 U2 B' R2 U2 R' U2 B2 R F' U' F U R' U2 R U2 R' U' R2 U R2 U R2 U' R' U' L U' R2 U L' U' R2 U' R' U R' U' R' U R U L U' R' U L' U' R2 U' D'
L D R2 D' // P 2x2x2x
R2 U2 B' R2 U' R' U B2 // P 2x2x3
R F' U' F U R' U2 R U2 // F2L-1
R' U' R2 U R2 U' R' U //F2L
U2 L U' R2 U L' U' R2 U' // OLL
R' U R' U' R' U R U L U' R' U L' U' R2 U' // PLL
Can someone explain to me why I DNF or where the fault was in the solution. Really would apprieciate it.
On the same note, what would you suggest me for the next concept to learn, I already learned BB, EO, PB and Niss. Thanks for the help.

I just made my attempt at the Weekly FMC comp (Week 12) and got a DNF and don't know why.
This was the scramble: R' U' F U2 F' U2 B' F2 U2 B2 R2 F D2 L U R' B F U2 F2 R' D' B2 R' U' F
and this is my solution: L D R2 D' R2 U2 B' R2 U2 U' R' U2 U B2 R F' U' F U R' U2 R U2 R' U' R2 U R2 U R2 U' R' U' L U' R2 U L' U' R2 U' R' U R' U' R' U R U L U' R' U L' U' R2 U' D' D
L D R2 D' // P 2x2x2x
R2 U2 B' R2 U' R' U B2 // P 2x2x3
R F' U' F U R' U2 R U2 // F2L-1
R' U' R2 U R2 U' R' U //F2L
U2 L U' R2 U L' U' R2 U' // OLL
R' U R' U' R' U R U L U' R' U L' U' R2 U' // PLL
Can someone explain to me why I DNF or where the fault was in the solution. Really would apprieciate it.
On the same note, what would you suggest me for the next concept to learn, I already learned BB, EO, PB and Niss. Thanks for the help.

You have not correctly copied your working to your final solution. I have corrected it accordingly above.
I would suggest, since you can build F2L-1s to start learning skeletons and insertions as it is much more efficient than LS > OLL > PLL. If you already know commutators this should be easy. I would recommend learning from this tutorial: https://fmcsolves.cubing.net/

You have not correctly copied your working to your final solution. I have corrected it accordingly above.
I would suggest, since you can build F2L-1s to start learning skeletons and insertions as it is much more efficient than LS > OLL > PLL. If you already know commutators this should be easy. I would recommend learning from this tutorial: https://fmcsolves.cubing.net/

Hey Guys
I am trying to learn insertions now, but I have difficulties with the comutators, does anybody know a good toutorial which also covers cases with twisted corners and such things?

22.33 and 22.67 means from Mini Minnesota Spring 2022

Spoiler: 22.33

Spoiler: 23

R' U' F U2 F2 U2 D2 L2 D2 F2 L B L2 R' B L F2 R2 U B' L2 F R' U' F

L F' @ U' D' L // EO + sq
(L2 B' U D B2 U2 F) // DR (12)
(D' L2 D F2 U) // 17 to 3c

@ = [F, R' B2 R]

Solution: L R' B2 R F' R' B2 R U' D' L U' F2 D' L2 D F' U2 B2 U' D' B L2 (23)

Spoiler: 23

R' U' F U R B' D F2 R L2 F' R' U L' F2 D2 R' F2 R U2 R U R' U' F

L2 B (R F) // EO + sq
L U' R' // blocks + DR-2e2c
(R U2 R2 D R' U2 R) // DR (14)
(F2 D U2 F2 D2 B2 x2) // 20 to 3e4x

L2 B L U' R' x2 B2 D2 F2 D' {U2 F2 R' U2 R} D' R2 ^ U2 R' @ F' R'
^ = M'
@ = M // 21 to Mx
replace {} with x2 L R' B2 U2 R' B2 L for 23 to solved (could also see this as just inserting 2 slices lol)

Solution: L2 B L U' R' F2 U2 B2 U' L R' B2 U2 R' B2 L D' L R F2 L' F' R' (23)

Spoiler: 21

R' U' F U2 B2 U2 L2 R2 B2 L D' L' U L' B L2 R U2 F2 L B' R' U' F

(D2 B) L D B // EO
U D2 F2 R2 D' R // DR (11)
U2 L2 D' R2 L2 D // HTR (17)
R2 F2 // 19 to 3e + E slice

L D B U D2 F2 R2 D' R U2 # L2 D' R2 L2 D # % R2 F2 B' ^ D2
^ = S
% = U2 S' U2
# = E2

Solution: L D B U D2 F2 R2 D' R D2 R2 D' R2 L2 D' F B' R2 D2 F D2 (21)

Spoiler: 22.67

Spoiler: 21

R' U' F L2 R2 B2 L2 D2 U' B2 U R2 D2 R2 B F L' D' B2 U2 B F' D R' U' F

F U R' B L // EO
F' (L2 F) // DR (8)
(D2 L2 F2 L2 B2 U F2 D') // HTR (16)
(R2 D2) // 18 to 3e

F U R' B L F' @ D2 @ R2 D F2 U' B2 ^ L2 F2 ^ L2 D2 F' ^ L2
@ = S' // 20 to Sx
^ = S2 // 21 to solved

Solution: F U R' B L B' L2 B' F L2 U F2 D' F2 L2 B2 R2 U2 B2 F L2 (21)

Spoiler: 24

R' U' F L F' D L U2 L' B2 U2 B2 U2 L2 R2 U B F D2 F2 L' F R' U' F

L F R B' // EO
(U L) L2 F2 R2 D' F2 U' R' // DR (13)
D L2 U' @ F2 D2 B2 D // 20 to 2e2e
@ = R2 F2 L2 B2 L2 F2

Solution: L F R B' L2 F2 R2 D' F2 U' R' D L2 U' R2 F2 L2 B2 L2 D2 B2 D L' U' (24)

a few minutes into the attempt I had this:
L F R B' // EO
(U L U R2 U' R2 U' L) // DR (12)
U' D2 F2 L2 D' // 17 to 2e2e, can also be 17 to 3e4x
but I couldn't find any decent way to insert it. Insertion Finder finds a weird 10-5 for 22

there was this 9 move DR with like 16 variations:
L F B R' // EO + DR-2e
B' U2 L2 D2 F' // DR (9)
the corners are bad so I didn't spend much time on these, but Carter and James found a 23 from one of them

I also had this 9 move DR with decent corners:
L' B' U // EO
(F' R2 F' D2 B R') // DR (9)
optimal finish gives 23 but it doesn't seem like I could have found it

with all these starts that seemed promising I was disappointed with a 24, but after analyzing them a bit more it seems like there wasn't actually anything great I should have found from them

Spoiler: 23

R' U' F L U2 F2 L D2 F' D B' R U2 B L2 B2 L2 U2 F B2 L2 D R' U' F

R U F2 D L // EO
(D B') U' D' B2 D2 F' // DR (12)
D' ^ R2 F2 U' // HTR (16)
R2 @ D2 ^ R2 D2 // 20 to 3e

@ = M U2 M' U2 // 25 to solved
^ = E2 // slice to 23

Solution: R U F2 D L U' D' B2 D2 F' D U2 L2 B2 U' R' L' F2 R' L' D2 B D' (23)

R' U' F R' F2 D' F2 U2 R2 F2 R2 F2 U' B F D2 R D2 F2 U' R2 F U' R' U' F

B' L' R2 F' // EO
L (U' F2 L D2 L') // DR (10)
U F2 D' L2 U L2 @ U F2 // 18 to 2e2e

@ = L2 U2 B2 L2 D2 R2 F2 D2 // 8-3

Solution: B' L' R2 F' L U F2 D' L2 U' B2 L2 D2 R2 F2 D2 U F2 L D2 L' F2 U (23)

Spoiler: stuff

missed this 22 from the DR:
B' L' R2 F' // EO
L (U' F2 L D2 L) // DR (10)
(D' B2 L2 D R2 D' @ R2 D) // 18 to 3e
@ = D2 M D2 M' // 6-2

there's this 21 that I probably would have found if I looked at red front EO before spending most of the hour on one EO :/
(L2 U2 B' R) // EO
(B) R2 U' L2 B2 U2 F // DR (11)
(U) L2 B2 R2 U // HTR (16)
R2 D2 F2 U2 B2 U2 // Finish (21)

Spoiler: 22

R' U' F R' U2 F2 R B' L D' L2 U' R' F U' B2 R2 U L2 U D R2 F2 R' U' F

U' B' R F' // EO
L U R2 F2 R // DR (9)
(U) // HTR-4e
D' R2 L2 U' // HTR (14)
^ L2 R2 @ U2 F2 R2 // 19 to 3e + E slice

@ = F2 R2 F2 ^ U2 F2 R2 F2 U2 // 21 to E slice
^ = M2 // swap some moves around because I thought it made 20 to E slice lol

E slice skeleton after DR:
D' R2 L2 U' % B2 R2 B2 R2 L2 U2 F2 U' &
% = E
& = E' // 22 to solved

Solution: U' B' R F' L U R2 F2 R D' R2 L2 D' R2 F2 R2 F2 B2 U2 L2 U2 D (22)

Spoiler: stuff

there's a 20 from a variation of the DR:
U' B' R F' // EO
L U L2 B2 R' // DR (9)
(L2 @ F2 L2 U^ S2 U2) // 16 to 4e4x + E slice

@ = D' S2 D^ // 20 to E slice
^ = make wide // 20 to solved

Spoiler: 22

R' U' F R2 U L2 R2 D' B2 U' B F U F U R B L B' F' D' R' U' F

B' (L U B) // EO
(R') D2 L2 D' L ^ B2 L' // DR (11)
B2 ^ R2 @ F2 R2 D L2 D y2 // 18 to 3e + Ex

@ = L2 U B2 L2 F2 D R2 F2 // 21 to Ex
^ = M2 // slice to 20 to Ex

B' D2 L2 D' L' R2 F2 L'
F2 U B2 % L2 F2 D2 L2 D % y2
R B' U' L'

% = E // 22 to solved

Solution: B' D2 L2 D' L' R2 F2 L' F2 U B2 U D' B2 L2 D2 B2 U R B' U' L' (22)

Hi, I am a beginner at FMC, Id say i average somewhere around 40 moves. Yesterday though, i finally got something decent. Ive read most of trontos tutorial and its very helpful, lots of head knowledge but I havent put in enough time to make it show. The example solves, whilst i understand the techniques used, still look like luck to me so Ive got a ways to go yet. Anyway, i got a 23 move solve (pb by a mile, previous was like 35 or so).

Scr: D2 F D2 U2 F U2 B' R2 B2 L2 F' U2 L R U' B' R' B F D' F2

only 4 misoriented edges for DR on yellow/white (im not yet colour neutral for DR, it trips me up still), but I always struggle with the corners and edges, as a result it often takes me another 10-12 moves after EO to achieve DR. So I head to the inverse scramble and find this

(U2 L2 D' F) //EO
(L F2 U2 R' U2 R) // DR
fastest DR ive ever gotten, although it doesnt look too great, so I head back to normal scramble (yes i checked the other trigger, found nothing good there)

new scramble:
R' U2 R U2 F2 L' F' D L2 U2 + scramble
and the thing is practically solved (by my standards, usually its a mess still)!

I found this skeleton leaving 3c 3e:
(U2 L2 D' 2 B2)
discarded this since i dont know how to do a 3c3e insertion properly, i just go fix the edges cause theyre all in the E slice, so I simply adjust my skeleton to fix those edges with a couple E moves :
U2 L2 U D2 F2 R2 U' D //3c

transferring into actual skeleton with no premoves:
U2 L2 U D2 F2 R2 U' D R' U2 R (*) U2 F2 L' F' D L2 U2 //3c (18)

best insertion i could find cancels 3 moves, i havent done much practice with them and only really know a few general commutators:
(*) = R D' R' U2 R D R' U2

sol: U2 L2 U D2 F2 R2 U' D R' U2 R2 D' R' U2 R D R' F2 L' F' D L2 U2 (23)

This took me about 7 hours and was really draining but it was all worth it in the end. If anyone has feedback or something better, feel free to let me know.

I'm never active here so here are some cool solves from Northeast Champs a couple weeks ago:

Spoiler: 1. 21

R' U' F D2 L' U B R2 D2 R2 D2 F' L2 B D F' R B' D F R' U R' U' F

F2 B' U R // EO
D F2 U L2 D F // DR (10)
D' B2 L2 D // HTR (14)
* B2 R2 L2 ^ U2 D2 // 3e+slice (19)
*: D2 B2 L2 B2 D2 B2 L2 B2
^: R2 U' D B2 U D' // lazy 6-4 for slice
then shorten part after DR to Dw' B2 L2 D' B2 L2 B2 U' Uw' F2 L2

Spoiler: 3. 23

R' U' F D2 R' F2 L2 U2 L' B2 L B' F' U R' U L' R2 B R2 F U' R' U' F

(U' B U) // EO
(L F) // DR-2c
(R B R' F2 R B' R' F2) // comm to get DR temporarily
(L2 F2 U2 R) // HTR
(* F2 U2 L2 D2 L2 D2) // 2e2e
*: (R2 F2 L2 B2 L2 F2)
then remove comm and do 8-3 to solve corners

Missed a 21 off this:
B2 L D B' L' // EO
(R2 U2 R2 D B') // DR

Are there any websites where you can practice FMC with unlimited scrambles? The ones that I found were only weekly scrambles, I want to get more into FMC so I wanna practice more.

The short 3-cycle edge comms of the interchange-insert type have to use slice moves, because that's how you can isolate a single edge piece. The only other useful edge comms are the M' U2 M U2 type, which also use slice moves (but keep in mind that you can "split up" one of the slice moves without affecting move count, e.g. M' U2 M U2 = l' U2 M U2 L, both six moves long).

There are short 3-cycle algs that are not commutators, e.g. (R2 U' R2 f2)2 or (R2 u' R2 f2)2. There isn't exactly any rhyme or reason to how they work; they just do.

Are there any websites where you can practice FMC with unlimited scrambles? The ones that I found were only weekly scrambles, I want to get more into FMC so I wanna practice more.