# SuneOLL

#### Kirjava

##### Colourful
This post was crafted by Robert Yau and Kirjava in Google Docs.

17:25:19 < Robert> I just finished discovering that...
17:26:09 < Robert> 48/57 OLLs can be done using (sune variant), (U, U' , U2 or no move), (sune variant)
17:31:24 <+Kirjava> that's good
17:31:32 <+Kirjava> it means you can easily do the OLLCP subset where CP is already done
17:31:37 <+DanCohen> Holy **** sub-55 on 5x5x5 and on video!

Turns out, you can solve every case with Sune variations and some extra moves for alignment.

A lot of these algorithms are useful for OH. You may find that some of them are even better than your normal 2H OLL algorithms for OH!

Because of the notation used to describe these algorithms, there are cancellations that are undocumented. However, I doubt many of you will have trouble cancelling two sunes.

For each case, only one solution is documented - better ones may exist. Feel free to post them.

The notation describing the particular variation of Sune being used is as follows;

R = Right
L = Left
F = Front
B = Back
W = Wide
A = Anti
S = Sune

For example, RFS would be a regular Sune (RUR’URU2R’) while RBWAS would be the Right Back Wide AntiSune (r’U2RUR’Ur).

All edges flipped correctly

27 - (RFS)
26 - (RFAS)
21 - (RFAS)*2
22 - (RFS) U’ (RFS)
23 - (RBS) (RFS)
24 - (RFAS) U (RFS)
25 - (RFS) U (RBS)

No edges flipped correctly

1 - (RFWS) U’ (RBWAS)
2 - (RWS) U (RWS)
3 - (RWAS) U (RBWS)
4 - (RBWAS) U’ (RFWS)
20 - (RFWAS) M (RFS) U M’
17 - (RFWS) (LBWAS)
18 - (RFWS) (RBWS)
19 - (RBWAS) (RFWAS)

“P” shapes

31 - (RFAS) U (RFWS)
32 - (RBAS) U’ (RBWS)
43 - (RBWS) U’ (RBWAS)
44 - (RFWS) U (RFWAS)

“W” shapes

36 - (RFWS) U (RBWS)
37 - (RFWAS) U2 (RFS)

“L” shapes

47 - (RBWS) U (RBS)
48 - (RFWS) U’ (RFS)
53 - (RBWAS)*2
54 - (RFWAS)*2
49 - (RBS) (RFWAS)
50 - (RFS) (RBWAS)

“C” shapes

34 - (RBS) M’ (LBS) U M
46 - (RFS) M’ (RBS) U’ M

“T” shapes

33 - (RBS) (LBWS)
45 - (RFS) (RBWS)

“I” shapes

55 - (RFAS) U’ (RBWS)
56 - (RFAS) U’ M’ (RBS) U’ M
51 - (RFS) U’ (RFWS)
52 - (RFAS) U’ (RFWAS)

Square shapes

5 - (RBWAS)
6 - (RFWAS)

Big lightning

39 - (RFAS) (LBWS)
40 - (RBAS) (LFWS)

Small lightning

7 - (RFWS)
8 - (RBWS)
11 - M (RFS) U M’
12 - M’ (RBS) U’ M

Fish shapes

9 - M (RFAS) U’ M’
10 - M’ (RBAS) U M
35 - (RFAS)*2 (RBWAS)
37 - (RFWS) U (RBS)

Knight shapes

13 - (RBS)*2 (LBWAS)
14 - (RFS)*2 (LFWAS)
15 - (RBS) U’ (RFWAS)
16 - (RFS) U (RBWAS)

Awkward shapes

29 - (RFWS) U’ (RFAS)
30 - (RFS) U’ (RFWAS)
41 - (RFWAS) U’ (RFS)
42 - (RBWAS) U (RBS)

All corners oriented

28 - (RFWS) (RFAS)
57 - (RFAS) (RFWS)

Wow, amazing.

#### Rook

##### Member
Awesome

The notation is a bit hard to get used to, but I'll definitely be trying most of these out. I might finally be able to complete OLL, or at least come close.

#### Gavin

##### Member
17:25:19 < Robert> I just finished discovering that...
17:26:09 < Robert> 48/57 OLLs can be done using (sune variant), (U, U' , U2 or no move), (sune variant)
17:31:24 <+Kirjava> that's good
17:31:32 <+Kirjava> it means you can easily do the OLLCP subset where CP is already done
17:31:37 <+DanCohen> Holy **** sub-55 on 5x5x5 and on video!
I believe I read those top 4 lines in IRC... How did I miss that last one? xD

Anyway, thats an awesome find. I just need to figure out the notation.

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#### JeffDelucia

##### Member
Does every single one leave corner permutation?

#### Kirjava

##### Colourful
Does every single one leave corner permutation?

Of course, they're all based on Sune.

Actually, you can replace each Sune with a Niklas if you want to squeeze more OLLCP out of this thing.

#### whauk

##### Member
oh thanks thats amazing. i will learn many of them for OH.
is there always only one possibility or can there be more variants? (with the same amount of sunes)

#### JeffDelucia

##### Member
This looks really cool especially for OLLCP. Only problem I have with it is the memorization. Sure the algs can be memo-ed super quick but I can see a lot of confusing cases with each other. I suppose if you really commit the first half to memo you would be able to see the second but you would lose some fluidity.

#### qqwref

##### Member
Holy ****. You should teach OLL this way. (Like, not to people learning OLL+CP, but as a thing itself.)

#### FatBoyXPC

##### Member
qqwref: I don't know if I'd want to learn full OLL this way (2H), due to the fact most of the OLL's I use are insanely quick, quicker than two sunes. However, I do have a couple awkward shapes that use Sune (variant) + F Sexy move F'. I just think that some of the current real fast OLLs are more beneficial. Although this could provide for some excellent look ahead into PLL.

#### amostay2004

##### Member
I don't think this should be taken any more seriously than 2 look OLL, but it's fun to learn. And PLL prediction's easier on 2 look OLL since CP can easily be predicted on all-edges oriented OLLs.

#### Anthony

##### Professional Speedcuber
Oh, cool. I'm sure some would be good for OH.
Quite a few to look through though, so if anyone finds any that they feel are particularly good, leave a post about it please.

#### dabmasta

##### Member
Maybe I'm not seeing something here, but I don't think I understand the notation.

#### jiggy

##### Member
All corners oriented

28 - (RFWS) (RFAS)
57 - (RFAS) (RFWS)
I'm sure it's tucked away elsewhere in the list, but where is this case?

Unless you're suggesting doing 57 U2 57 or 28 U 28?

#### Tim Major

##### Platinum Member
Does every single one leave corner permutation?

Of course, they're all based on Sune.

Actually, you can replace each Sune with a Niklas if you want to squeeze more OLLCP out of this thing.

WAT WAT WAT?
Wow that's cool. Like... really cool

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#### peedu

##### Member
All corners oriented

28 - (RFWS) (RFAS)
57 - (RFAS) (RFWS)
I'm sure it's tucked away elsewhere in the list, but where is this case?

Unless you're suggesting doing 57 U2 57 or 28 U 28?
It's under "No edges flipped correctly". Number 20:

20 - (RFWAS) M (RFS) U M’

Peedu

#### jiggy

##### Member
All corners oriented

28 - (RFWS) (RFAS)
57 - (RFAS) (RFWS)
I'm sure it's tucked away elsewhere in the list, but where is this case?

Unless you're suggesting doing 57 U2 57 or 28 U 28?
It's under "No edges flipped correctly". Number 20:

20 - (RFWAS) M (RFS) U M’

Peedu
Cheers!

#### irontwig

##### Member
Diagonal swap next?