Atropos Method

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The Atropos method was created by Team ZZouxFOPers in the Method Development Competition January 2021. The method uses block building, edge orientation, and other important concepts from all big four methods. There is also a certain freedom as to how you solve with this, you can shape the steps up however you like. It also finishes the last eleven pieces with only 55 algorithms in 3 looks, less than only full OLL in the CFOP method. The method uses about 55 moves in Slice Turn Metric (STM) for an advanced solver


The Steps:

1. Solve a 2x2 block in DBL 2. Orient the remaining edges while solving the DR edge 3. Solve the DF edge and the DRF F2L pair (this is a 2x2x1 block) 4. Solve the DBR corner 5. Solve the DFL corner while orienting the last layer corners by using one of 27 pseudo Winter Variation algorithms 6. Using one of 12 algorithms, permute the last layer corners while solving the BR edge 7. sing one of 16 algorithms, permute the last five edges, finishing the cube.

Alternatives:

•You could solve the DFL F2L pair at step 3, allowing for more of an RU ending (you’d do all of the steps using the FL slot mirrors)v• •You could solve a 2x2 block in DBR instead at the beginning and do the rest of the method mirrored

Pros:

•In general, there are few regrips •Lookahead is straightforward •The algorithms are fast •Some of these steps are even easier to recognize and execute than CFOP F2L •Ergonomics are generally quite good •There’s a reasonable movecount

Cons:

•The last step can be hard to recognize •There are some F2 moves in the second step

Here are three example solves to demonstrate the method to clarify even more:

Example solves Scramble: U2 D2 F' U D2 L2 U2 B R B2 R2 B2 U2 R2 F L2 F U2 D2 F z' // inspection u2 r2 F' U f' R' r' U' r // 2x2 F' U' F U R2 // EODR U2 R' U2 R2 U' R' // DFR block R' U2 R U R' U' R // back corner L' U2 L U' L' U L2 F R' F' L' F R F' // pseudo-WV U' R2 U2 R2 U R2 U F2 U' F2 U F2 R2 // BR+CP L' U' L2 S2 L2 U L2 S2 L' // L5EP

Scramble: L U B2 L2 U2 R' D2 R D2 B2 L F2 L' B2 U F2 L' U R2 F U2 x2 // inspection M F U S' M' F' r2 // 2x2 F2 R F' U' R2 // EODR R U R' U l' U2 l // DFR block R' U' R U' R' U R // Back corner U2 L' U2 L U' L' U L U' L' U2 L //pseudo-WV U2 R2 U F U2 F' U' R2 F U' F' R' U' R // BR+CP M2 U M2 U' L' U' M2 U M2 L // L5EP

Scramble: B' L2 D F2 L2 U R2 B2 F2 D F2 U' R2 B' U' B F D2 U R' B' x2 y' // inspection u' F' u2 r' U2 r // 2x2 L' U' L U2 F' //EO DR R U' R' U2 R U R' // DFR block R' U2 R U R' U' R L' U2 L U2 F L' U2 L U2 L F' L' // pseudo-WV F' U F2 R2 U F' R2 F U' R2 F2 U' F // BR+CP S2 U' S2 L' S L2 S L' U S2 // L5EP

  • Note: These might not be the most representative of movecount, but they do show what the ergonomics and last three steps would look like.