#### mDiPalma

##### Member

- Joined
- Jul 12, 2011

- Messages
- 1,536

Sup?

Question: Which of the following algs is the fastest?

A) N-perm

B) Sune

C) OLL 20

D) A and C

Answer:

Spoiler

It's common knowledge that you can solve each and every 2GLL case with a combination of sunes and

Question: Which of the following algs is the fastest?

A) N-perm

B) Sune

C) OLL 20

D) A and C

Answer:

…sune?

It's common knowledge that you can solve each and every 2GLL case with a combination of sunes and

__moves.__

Here is the distribution I found:

There are 85 2GLL cases (including solved).

1 case requires 0x Sune (solved).

4 cases require 1x Sune.

40 cases require 2x Sune.

36 cases require 3x Sune.

4 cases require 4x Sune. (4x misoriented corners, H-perm, Z-perm)

Yesterday, I wrote a program to find the sune-combos for all these cases. The program is ugly because I’m not a programmer (Mechanical Engineering student). But if you want to see the code, let me know XD.

Here are the results.

Legend:

Spoiler

Interesting things:

Spoiler

1 ALG IS ENOUGH!!!!!!!

SUNE=LIFE.Here is the distribution I found:

There are 85 2GLL cases (including solved).

1 case requires 0x Sune (solved).

4 cases require 1x Sune.

40 cases require 2x Sune.

36 cases require 3x Sune.

4 cases require 4x Sune. (4x misoriented corners, H-perm, Z-perm)

Yesterday, I wrote a program to find the sune-combos for all these cases. The program is ugly because I’m not a programmer (Mechanical Engineering student). But if you want to see the code, let me know XD.

Here are the results.

Legend:

- These algs only work on a cube with solved CP and EOF2L. This is attainable via ZZ-d (ZZ-porky V1, V2, ZZ-orbit, or a similar variant).

- sune=RUR’URU2R’
- Asune=RU2R’U’RU’R’
- Bsune=R’U’RU’R’U2R
- BAsune=R’U2RUR’UR

- G=generator
- S=solver

- The images use WCA orientation (white-green). Black represents white.

Interesting things:

- It's possible to FORCE a 3-sune maximum by inserting the last F2L pair while orienting exactly 1 or 2 U-layer corners.
- Obviously it’s not a good idea to use 4x Sunes instead of M2 U M2 U2 M2 U M2 (normal H-perm). However, it’s just a proof of concept that you can solve every 2GLL case with 1 fast alg.
- Every R-side Sune case cancels with every other R-side Sune case.
- Some of the Sune-only 2GLL cases are actually better than the algs I would normally use for the case. Compare your least favorite 2-gen algs against what my program spit out. Maybe you'll fall in love <3
- sunesuneUsunesune is a Z-perm, *******
- sunesuneU'sunesune is an H-perm, *******

1 ALG IS ENOUGH!!!!!!!

SUNE=LIFE.

Last edited: Mar 13, 2015