LEOR Method

The LEOR Method is a 3x3 method which combines aspects of Roux and ZZ, although it seems to be described best as a variant of Petrus.
It was first conceived of by Arc and Pyjam1, although it has its precursors in the works of Joseph Briggs and Noah Arthurs2.

Steps

Overview

  1. First block/Left block (dL): A 1x2x3 block is built on the left side of the cube as in Roux.
  2. EOStripe (EO()+dm): The unique step of LEOR where edges are oriented while a “stripe” (DF and DB edges along with the centers) is formed.
  3. Right block/Second block (dR): The 1x2x3 block on right side is solved, generally <R, U>-gen, which is similar to EOLine blockbuilding in ZZ or exactly the same as the right block of Petrus.
  4. ZBLL (U): The last layer, which has its edges already oriented, is solved using one of many strategies such as full ZBLL.

EOStripe

As stated earlier, EOStripe is the defining feature of LEOR, but due to its uniqueness, it is often also the biggest problem for those wanting to switch, especially as resources are very scarce.
Therefore, to aid the general understanding of EOStripe, this section compiles some information on it.

Movecount

The following is a table of all EOStripe states sorted by their <R, r, M, U>-gen movecount in STM.3

Depth New Total % of all
0 1 1 0,00136%
1 3 4 0,00543%
2 9 13 0,0122%
3 63 76 0,0854%
4 210 286 0,285%
5 1110 1396 1,51%
6 2968 4364 4,03%
7 12069 16433 16,4%
8 20026 36459 27,2%
9 26641 63100 36,1%
10 8730 71830 11,8%
11 1814 73644 2,46%
12 82 73726 0,111%
13 2 73728 0,00271%
14 0 73728 0,00%

Average movecount: 8.37 STM

Applications

As LEOR only has a small userbase which, as of now, contains no one who is world-class, LEOR’s potential still remains unproven and as such, not much can be said about its viability, although it currently appears that it might be most effective for one-handed solving due to favoring 2-gen solving.
Furthermore, it may also be used as a 4x4 method for people coming from ZZ who prefer doing EO on big cubes without the problems that EO-first steps like EOLine and EOCross pose.

Resources

Because LEOR has much in common with other more popular methods, resources for all steps - with the notable exception of EOStripe - are generally readily found.
The following list is a hopefully comprehensive but still incomplete selection of them:

Notable users

based on the members of the LEOR discord

See also

References

  1. https://www.speedsolving.com/threads/roux-breaker-the-yruru-method.77201/post-1367918 ↩

  2. https://www.speedsolving.com/threads/noahs-cp-block-method-2-0.41986/ ↩

  3. Movecounts from ksolve++ using custom eostripe.def ↩