I was going to start a thread similar to this so, I'll post here as I'm sure it will add to the discussion
I was bored of just 3x3 so I recently started to get interested in 2x2 - 5x5. I would need a bit of advice regarding both 4x4 and 5x5. Here I go:
4x4: I can already solve it pretty decently but I'm not trying to speedsolve it yet. I use pure reduction (centers, edges, 3x3). Centers are pretty intuitive. I try to pair edges at least two at time whenever I can. When needed I apply a short and intuitive L2E alg (Uw' R F' U...) and then solve like a 3x3. For OLL parity I only know just one alg, which also twists the two adjacent corners (the one that starts with Rw U2 x Rw U2...). At my current speed I don't think I need to learn other variants that can help you get an OLL skip when applying parity. But yeah, it currently takes me like 3 to 4 minutes to solve it most of the time, perhaps a bit less in a good solve without parity, and I already see that, soon I will want to get better at it. So, what would you recommend in order to improve? I know there are other methods like doing two opp centers and 3 edges, then the other centers ... not sure if it is Yau or some other. Also I perhaps would have to learn how to pair 3 degdes at a time... Any advice is welcome in order for me to enter into the sub-2-minutes / sub-1:30 realm.
5x5: Here I'm just an absolute beginner. I just figured out on my own how to do the 3x3 centers and tredges using similar techniques to 4x4. I hoped 5x5 would not need any parity algs but then I realized those last 2 tredges would give me a bad time to figure them out. I checked the algs in some page but I discovered there are like 12 cases with and without parity and, to be honest, I don't want to learn all those yet (they are lenghty also, not easy to learn quickly). So, here the question is, what's the minimal set of algs I would need to solve 5x5 without having to check the algs? Today I tried applying some adaptations of the 4x4 L2E alg to the 5x5 and ended up with just the basic parity case (all tredges solved except for one that has the center piece flipped (well, in fact it's the two wing pieces which seem to be flipped, but you get my point). This makes me come to the conclusion (maybe wrong, can you confirm?) that I could solve all no-parity cases and reduce all the parity cases to this basic one, which, for now, would allow me to solve a 5x5 on my own by just learning this one alg. Of course, I assume that if I want to get any faster I will have to learn all those 12 cases (4 no-parity & 8 parity cases) and also some advanced slicing techniques to pair tredges more efficiently, as now I'm readjusting the centers after each and every tredge I pair.
Thanks in advance for your help! Sorry if the post is a bit too long
