Beyer-Hardwick Method
Beyer-Hardwick Method. An advanced blindsolving method based on the use of 3-cycle algorithms. The fundamental idea behind the BH method is to use pre-memorized, move optimal, commutator 3-cycles for all possible 3-cycles starting from a fixed buffer location. For pieces where orientation is defined, the position and orientation of pieces are solved simultaneously. The use of commutators allows the BH method to be used for solving any sized cube blindfolded.
BH Corners
These are the different types of commutators you will "see" while learning BH.
Pure Commutators (8 moves) - are the purest and smallest form of commutators and all other commutators are just setups into them hence called Pure Commutators (except Cyclic Shifts and Per Specials). They follow this formula: ABA'B' or [A, B] for short.
A is always a 3 move insert B is the interchange move and always 1 move and opposite from the middle move of A. Ex [R U R', D] U is the middle move of the A move that means the B move must be some form of D move
To recognize 1 corner is in 1 layer and the remaining 2 are in a different layer. The 2 corners in one layer must be interchangeable and there must be a 3 move insert between 1 corner in 1 layer and 1 corner in the different layer.
There are only 3 A moves: R U R' R U' R' R U2 R' All Pure Comms are composed from these 3 A moves meaning there's only 18 algs and everything else is just mirror/inverse/rotation from the 18 algs.
A9 (9 moves) -are conjugated Pure Comms with a cancellation resulting in 9 moves instead of 10. They follow this formula: SABA'B'S' or [S: A, B] where S is the setup move.
Ex. [R: RUR', D] becomes R R U R' D R U' R' D' R' or simply R2 U R' D R U' R' D' R'.
All setup moves or S moves must cancel with A. There are no B9s or a corner commutator with a S move that cancels with the B move. If you find 1 then that just means it's a Pure Comm. Edge commutators though have B9s.
External links
- BH method for corners - Hardwick
- BH method for 3x3 edges - Hardwick
- BH method for 3x3 edges - Skarrie
- BH method for corners - Riffz
- BH method for corners - Jalocha
- edge cycles - lucarubik
- corner cycles - lucarubik
- Speedsolving.com: Thoughts about the BH method* [http://www.speedsolving.com/forum
- Speedsolving.com: Brian Yu's tutorial for BH corners
- Speedsolving.com: Chris Hardwick's explanation of BH 3x3 edges
- Speedsolving.com: Beginner BH ideas for big cube edges
- Speedsolving.com: Intermediate/Advanced BH ideas for big cube edges
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