# A large collection of parity algorithms

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#### DavidWoner

##### The Punchmaster
Why is r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' only mentioned as an "original algorithm" and not as an algorithm itself?

#### Tim Major

##### Platinum Member
I clicked this thread hoping for "a collection of parity algorithms." What I got was "a collection of parity algorithms for big cubes."

I also thought it would be a list in the thread, that would be added to. Still helpful, though I wanted Square-1 parity algos, but nevermind.

Why no just avoid parity? :fp lol.

#### Lucas Garron

Nice!
I don't know if I'm really qualified to evaluate it (since my alg is in it), nor if it's necessarily good, but at least someone is trying.

"(Rr) U2 x (Rr) U2 (Rr) U2 (Rr)' U2 (Ll) U2 (Rr)' U2 (Rr) U2 (Rr)' U2 (Rr)'" can be made into a pure parity.

"l'U2l'U2(l'r)U2l'U2lU2r'U2l2" was not invented by me; I got it from others here. I do believe I'm one of few people to have taken out the cube rotation, though.

I'd sort of like to submit these algs. They're rather interesting because they start so similarly.

I'd like pictures or links. I made alg.garron.us for a reason, and Cride5's image generator is very nice.

Why no just avoid parity? :fp lol.
You were obviously not there when cmowla made his very first thread.
(Also, your facepalm there is completely unnecessary. When will people get that this is not a chatroom?)

#### Dirk BerGuRK

##### Member
Wow very nicely done. What a great resource.

Note 4: As you might have noticed by looking at my avatar, I am curious if there has ever been the discovery of a pure edge flip algorithm less than 25 quarter turn moves.

If I remember correctly, you mentioned in a previous thread that you have found one. When I opened the .pdf that was the first thing I went looking for but didn't see it. Have you found an alg that short?

#### blah

##### brah
I know no one clicks on links, so...

OLL Parity (RUL):
Lw' U2 x Lw' U2 Lw' U2 Lw U2 Rw' U2 Lw U2 Lw' U2 Lw U2 Lw (25q, 17f)
Lw' U2 Lw' U2 Lw U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' Lw U2 Lw (25q, 17f)
Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' (25q, 17f) (Yu Nakajima uses this, Lucas Garron found it)
Rw U2 Rw U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' Rw' U2 Rw' (25q, 17f)

Double Parity (RUL):
Lw U2 Lw U2 Rw' U2 Lw U2 Lw' U2 x U2 Lw2 U2 Lw U2 Lw' (25q, 16f)
Lw2 U2 x' U2 Lw U2 Lw' U2 Rw U2 Lw' U2 Lw' U2 Lw U2 Lw' (25q, 16f)
Lw' U2 Lw U2 Lw2 U2 x U2 Lw' U2 Lw U2 Rw' U2 Lw U2 Lw (25q, 16f)
Lw' U2 Lw U2 Lw' U2 Lw' U2 Rw U2 Lw' U2 Lw U2 x' U2 Lw2 (25q, 16f) (mine, I switched )
Rw U2 Rw' U2 Rw U2 Rw U2 Lw' U2 Rw U2 Rw' U2 x' U2 Rw2 (25q, 16f)
Rw U2 Rw' U2 Rw2 U2 x U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw' (25q, 16f)
Rw2 U2 x' U2 Rw' U2 Rw U2 Lw' U2 Rw U2 Rw U2 Rw' U2 Rw (25q, 16f)
Rw' U2 Rw' U2 Lw U2 Rw' U2 Rw U2 x U2 Rw2 U2 Rw' U2 Rw (25q, 16f)

Just for comparison, here's the "standard" OP alg:
Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 F2 Rw F2 Lw' B2 Rw2 (25q, 15f)
See how much it sucks?

I can also post FRUL and FRU algs in case anyone's interested, but they're not as nice as the RUL ones imo. I think Yu Nakajima's alg is the best, here's why: no double turns (all Rw and Lw moves are quarter turns), and it alternates between Rw/Lw and U2 moves (i.e. quarter turn, U2, quarter turn, U2, etc.), which makes execution non-stop and super smooth. But I just like my alg better for some unknown reason

In case you didn't know, you can always use DP algs to fix OP. It doesn't really matter because it doesn't increase or decrease your chances of getting PP (still 0.5).

#### DavidWoner

##### The Punchmaster
Why is r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' only mentioned as an "original algorithm" and not as an algorithm itself?
If I made any modifcations to them, then I wrote the original form of the algorithm down. If I didn't make any changes, there should be a "N/A" next to the phrase "original algorithm".

Yes that much was quite obvious, you seemed to have completely missed the point of my question. Perhaps I should have asked why you felt the need to only list a modified version of this alg, and leave the original as only a side note. I think that this alg (and it's inverse) are far and away the fastest, yet neither is listed as a main algorithm and neither is credited to Lucas Garron.

#### DavidWoner

##### The Punchmaster
Yes that much was quite obvious, you seemed to have completely missed the point of my question. Perhaps I should have asked why you felt the need to only list a modified version of this alg, and leave the original as only a side note. I think that this alg (and it's inverse) are far and away the fastest, yet neither is listed as a main algorithm and neither is credited to Lucas Garron.

Well, I thought it might be more appropriate for the general audience. As they see the "algorithm", then they may wonder what the speedcubing form is.

As I responded to Lucas Garron himself, I tried my best to give credit to whom credit was due. In fact, Lucas said himself that he didn't come up with one which I gave him credit for. The point is, I didn't want anyone to take this personal (of who came up with what...because for some of the algorithms, that is unclear), rather, it was just a list of algs, ok?

Yes, I have had problems with accurately crediting algorithms before, and I have decided that unless I hear directly from the creator that they want to be credited that I don't bother, since it is so easy to make mistakes.

And perhaps I was expressing my fear that the "original algorithms" might go overlooked.

#### hawkmp4

##### Member
I'd like pictures or links. I made alg.garron.us for a reason, and Cride5's image generator is very nice.
If you are asking me what I used to make my avatar, here is the link:
http://www.gifup.com/
...No, he's saying you should make pictures using one of the two methods he suggested to show what cube state each algorithm solves.

#### miniGOINGS

##### Member
Hi to all. I have researched a lot over the internet in the past looking for all of the “one edge flip” algorithms I could find (for big cubes). Now I will give the results to you. I have included a pdf attachment which has the algorithms, their sources, their founders, etc. I am pretty sure that all algorithms are correct as shown.

Where is it?

#### PHPJaguar

##### Member
[offtopic]Why are cmowla's posts a different font from the rest of the page?[/offtopic]

#### miniGOINGS

##### Member
[offtopic]Why are cmowla's posts a different font from the rest of the page?[/offtopic]

He uses Times New Roman size 3 font. I have no idea why though.

#### miniGOINGS

##### Member
Where is it?
I had to take it off in order to put my 4-cycle document online (I didn't have enough attachment space). As soon as pjk gives me some more space, I will put it back on. I private messaged him yesterday about it. So I am now waiting on a response.

Oh, ok. I thought it was there and I just couldn't find it. That's cool with me.

#### reThinking the Cube

##### Member
Where is it?
I had to take it off in order to put my 4-cycle document online (I didn't have enough attachment space). As soon as pjk gives me some more space, I will put it back on. I private messaged him yesterday about it. So I am now waiting on a response.

Oh, ok. I thought it was there and I just couldn't find it. That's cool with me.

I was looking for that too. Important material like this needs to eventually end up in the Wiki, instead of strewn all over the different threads.

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