ZBRoux is a speedsolving method that uses a unique approach to solving the last 10 pieces in Roux, here, you solve the DF and DB edges while correcting edge orientation to achieve the F2L + EO cube state, and from there on, you finish the last layer in one look using ZBLL. It has been proposed numerous times dating back to 2010, so, the question of who gets credit is unclear.
1. First Block(FB): Build a 1x2x3 block anywhere on the cube.
2. Second Block(SB): Build a second 1x2x3 block opposite of the first 1x2x3 block, without disrupting the first 1x2x3 block. After this step, there should be two 1x2x3 blocks: one on the lower left side, and one lower right side, leaving the U layer and M slice free to move.
3. EODFDB: Simultaneously solve EO (Edge Orientation) and insert the DF and DB edges to its correct place. This step can be completed intuitively using similar techniques that are used in the last step of the Roux method. It is also possible to use algorithms.
4. ZBLL: Since you have EO done and DFDB inserted, you solve the rest using ZBLL. 493 algs.
- Low move count. F2B+EODFDB average move count is as efficient as ZZ-a ZZF2L (if not more).
- First 2 Blocks + EODFDB is intuitive and requires fewer algorithms.
- After the first block is built the rest of the cube can be solved mostly with R, r, M and U moves thus eliminating rotations. You will only rotate if your ZBLL alg has rotations in it.
- Higher TPS than CMLL/LSE as CMLL is 10 drilled algorithmic face turns while LSE is 13 moves MU spam. EODFDB is 8 moves MU spam and 15 drilled algorithmic face turns.
- Good prediction for ZBLL during EODFDB allowing for more fluid pauseless solves and seamless transition.
- The block building and intuitive nature of the method allows for rapid improvements in lookahead and inspection
- Large algorithm count due to using ZBLL.
- Block building can be difficult for a beginner to get used to. The reliance on r and M moves and its intuitive nature will be tough for beginners to get used to.
- Block building style and slice moves can be a problem on big cubes.
Proposals in chronological order, there can also be proposals of the method that predates these, but they have not been known yet.