I MIGHT and PROBABLY be wrong, but if you use the cage method, you won't get parity.

Parity's not much of a big deal. Two algs. That's it.
lol i have pll parity, oll parity, and double parity (pure versions for oll and dp) as part of my system...and also another parity case. there IS parity in cage...depends on which cage system though xD the old system that i used had no parity..
If you don't like parity, learn cage. THat's where I started. Eventually, you'll want to learn those two algs (only the oll one should give ya trouble). Redux is faster than cage.
lol you should think about what you say before saying it. xD you should say that generally redux is faster than cage because i'm much faster at cage than redux =P
i tried cage once, but i wasnt used to it, maybe ill try cage after i learn the evil algs

PLL parity isn't bad but yes, I'd say OLL parity is the most "evil" alg I use.
i have more evil algs =(
 
I MIGHT and PROBABLY be wrong, but if you use the cage method, you won't get parity.
Depends on what you call getting parity. I have the PLL parity alg (in fact a slightly simplified version of it since I don't care about centers) as part of my system for the last 4 edges, but it's only one of the different cases, not a true parity fix.
 
PLL parity isn't a true parity fix, just some silly 2-2-cycle you need for the reduction method. But as far as the real parity (OLL parity for reduction users), which is two edge pieces swapped, you cannot avoid getting it 50% of the time, although if you are willing to mess up centers a bit you can fix it with just an r or u turn and a commutator.


And TsColin, please learn some notation that doesn't suck. For 4x4 most people will use U for top layer only, u for 2nd to top layer only, Uw for top two layers, and don't use commas, and the 2 (for a double layer turn) usually goes after the turn.
So, your "2r, 2U, 2r, 2U*, 2r, 2u" is written "r2 U2 r2 Uw2 r2 u2".
(Incidentally, a better alg is: Uw2 Rw2 U2 r2 U2 Rw2 Uw2.)
 
If you want to cheat, count the number of slice turns you make in a normal 4x4 scramble. If that number is:
1) Even
- Solve centers with an even number of slice turns. (even+even=even)
2) Odd
- Solve centers with an odd number of slice turns. (odd+odd=even)

Double turns count as 2. Ultimately you want an even number of slice turns before you get to the 3x3 stage. And like qqwref said, PLL parity technically isn't even a parity... :P
 
based on what i've heard, cage has a form of parity that is easy to solve.. i'm probably wrong but that's what i've heard.. the OLL fix for the parity case for reduction is just a pain to learn but it has a type of pattern and rhythm to it.. it's not too bad to get used to
 
Cage doesn't have parity. If you get the OLL parity or the PLL parity case on the last two edges, then you just do the parity algorithm, but it is counted as a last two edges algorithm. If you didn't get those cases, you would have just done another algorithm.
 
Cage doesn't have parity. If you get the OLL parity or the PLL parity case on the last two edges, then you just do the parity algorithm, but it is counted as a last two edges algorithm. If you didn't get those cases, you would have just done another algorithm.

read that again one or two more times. Keep the first sentence in mind, then read the rest of what you've read.

I think what you mean to say is "parity doesn't matter that much for cage, as for that stage of solving you are going to be doing an algorithm anyway". If that's the case, the first sentence is simply incorrect.
 
I meant that the cage method, doesn't have a phase that the solver needs to correct parity. The parity in the second sentence refers to the parity in the reduction method. Sorry for the ambiguous words.

Parity in cage: Doing the algoritm that swaps two adjacent wings or swaps two dedges, or both.
Parity in reduction: Fixing the orientation and permutation of the cube so that it becomes solvable with only 3x3 moves.

Hope that was clear enough :D
 
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the OLL and PLL parity algs aren't necessary in some versions of the cage method, but there are times when they are still useful. There really aren't parity cases in the one I know, but they are useful to know.
 
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