#### Michal Robaczyk

##### Member

Hey, I want to share my 2x2x2 method (MRUG) which I've developed 11 years ago. The method consists of 2 phases:

Stats:

The details are on my old website here: http://2x2.great-site.net/ in the MRUG section. The website is only in Polish (unfortunately).

Reducing to the RU group can be easily done in the preinspection. First I'm putting DFL into UBR (0.83 moves average) then determining remaining D-corners positions and traversing the U-corners. There are 6 groups of 30 cases which can be solved by 18 short algorhitms (3 groups of 6 algorhitms depending on the DFL (which is now in UFR) orientation).

For speedcubing I think that the most potential is in the B and F variants, although they require a lot of algs to remember. In the F variant the O6C case can be determined during preinspection what makes that variant a 1-look method. The last step of F variant is very pretty in the {R2, U} group and the best part is when you finish the first layer the last layer is automatically solved!

Some example solves are here: http://2x2.great-site.net/zzprzyklady.html

On the site http://2x2.great-site.net/ there are also descriptions and algs for other 2x2x2 methods + some other stats and comparisons.

Feel free to comment.

Cheers

**PHASE 1:**- orient the cube so that DBL is solved (depending on what color you want to start with)
- solve DFL while reducing the cube to the {RU} group

**PHASE 2:**rest of the cube. I've proposed 6 variants here. Each variant consists of 2 steps:- Variant A:
- Permute remaining 2 corners of first layer (ignore their orientation)
- orient 6 corners (O6C)

- Variant B:
- Put remaining 2 corners of first layer to their layer (ignore permutation and orientation)
- orient 6 corners + swap DBR with DFR if needed

- Variant C (CLL):
- solve first layer
- solve LL (only 7 cases)

- Variant D (EG):
- solve first face
- solve LL + swap DBR with DFR if needed (only 15 cases)

- Variant E (SS):
- solve DBR
- Orient 5 corners and solve DFR

- Variant F:
- orient 6 corners
- solve first layer in {R2, U} group (the last layer will get automatically solved)

Stats:

Variant | Number of algs (for phase 2) | Average move count |

A | 55 | 14.23 |

B | 127 | 13.21 |

C (CLL) | 7 | 15.31 |

D (EG) | 15 | 15.15 |

E (SS) | 104 | 13.16 |

F | 71 | 13.98 |

The details are on my old website here: http://2x2.great-site.net/ in the MRUG section. The website is only in Polish (unfortunately).

Reducing to the RU group can be easily done in the preinspection. First I'm putting DFL into UBR (0.83 moves average) then determining remaining D-corners positions and traversing the U-corners. There are 6 groups of 30 cases which can be solved by 18 short algorhitms (3 groups of 6 algorhitms depending on the DFL (which is now in UFR) orientation).

For speedcubing I think that the most potential is in the B and F variants, although they require a lot of algs to remember. In the F variant the O6C case can be determined during preinspection what makes that variant a 1-look method. The last step of F variant is very pretty in the {R2, U} group and the best part is when you finish the first layer the last layer is automatically solved!

Some example solves are here: http://2x2.great-site.net/zzprzyklady.html

On the site http://2x2.great-site.net/ there are also descriptions and algs for other 2x2x2 methods + some other stats and comparisons.

Feel free to comment.

Cheers

Last edited: Feb 23, 2021