SQ-1 Orient Both Layers (OBL)

Introduction

OBL stands for “Orient Both Layers”. Vandenbergh method consists of:

  1. Cubeshape
  2. Corner orientation
  3. Edge orientation
  4. Corner permutation
  5. Edge permutation

There is an advanced technique to combine corner and edge permutation, called PBL (permute both layers).

This page introduces an advanced method which combines corner and edge orientation.

Further reference: SQ1 OBL Homepage

Face mnemonics

Each OBL case can be represented by a pair of face mnemonics, one for top layer and one for bottom layer.

Each face can be characterized by two numbers: number of white corners and number of white edges.

Due to symmetry, we may treat 0C4E and 4C0E as the same case.

Hence, there are following 12 categories:

  1. 0C1E
  2. 0C2E
  3. 0C3E
  4. 0C4E
  5. 1C0E
  6. 1C1E
  7. 1C2E
  8. 1C3E
  9. 2C0E
  10. 2C1E
  11. 2C2E
  12. 3C0E

If the top layer is 2C0E, then the bottom layer must be 2C0E as well. In general, only same categories can be paired.

Case Category Case Name Case Visualization
0C1E 1E 0C1E
0C2E 2E Adj 0C2E Type A
2E Opp 0C2E Type B
0C3E 3E 0C3E
0C4E 4E 0C4E
1C0E 1C 1C0E
1C1E Tent 1C1E Type A
Whale 1C1E Type B
1C2E Axe 1C2E Type A
Gem 1C2E Type B
Spill 1C2E Type C
Squid 1C2E Type D
1C3E Bunny 1C3E Type A
Thumb 1C3E Type B
Case Category Case Name Case Visualization
2C0E 2C adj 2C0E Type A
2C diag 2C0E Type B
2C1E Bird 2C1E Type A
Y 2C1E Type B
Dog 2C1E Type C
Shell 2C1E Type D
2C2E Cut 2C2E Type A
Kite 2C2E Type B
Fan 2C2E Type C
Tie 2C2E Type D
Tree 2C2E Type E
3C0E 3C 3C0E

Tips

The best way to learn OBL is to start with 2 slash (meaning you make two slice moves to solve OBL) and 3 slash cases, and understand how to convert the case into a familiar one.

This strategy is very similar to the cubeshape.

During actual solve, if you don't recognize a case, you may always use the standard method. So it's very easy to practice OBL during regular solves.

74 cases might sound like a lot, but similarly to cubeshape, each case has a parent case closer to fully solved, and they form a tree. Instead of memorizing the whole moves for each case, you only need to understand how to go to its parent.

Cases

There are 74 cases in total. We list all cases here with their full algorithms and the linkage to parent.

During learning, you may filter by number of slashes away. You may also filter cases by E/C category so you can focus on one of the categories.

When you want to deep dive a case, we show a special view which shows you all the way from the current case to each parent cases.

When we use a "Mirror <Case Name>", we refer to the pattern mirroring that case.

Special note for Tie and Tree: 2C2E case is special because if flipping all its color it's also 2C2E. Therefore, if you get a tree on top side, it's possible you can get a tree of exactly the same color, or of the opposite color. We will differentiate those two cases with Same Tree / Tree or Tree / Tree or Same Tie / Tree. It's important to understand this differentiation during learning, knowing the differentiation and understand visually is more important than understanding the term "Same".

For up to 3 slashes cases, we present all cases including left/right mirrors (e.g. Fan / Kite and Mirror Fan / Mirror Kite) and top/bottom mirrors (e.g. Kite / Fan and Fan / Kite are both shown).

For cases from 4 slashes, we only show one case for each left/right. The rest should be derived intuitively.

Case Category Case Name Image Algorithm Parent Memo
Slash Count
Case Category