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 Post subject: Puzzle solving schemes which generalize to lots of shapes
PostPosted: Mon Nov 25, 2013 9:36 am 
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Joined: Fri Dec 10, 2010 6:20 pm
I've been interested in learning something other than Fridrich/F2L on a 3x3 for the sake of speed, but after shopping around I also wanted to consider which additional shapes I would be able to apply new methods to. The big advantage to using a Fridrich variant is that it easily generalizes to some of the other popular shapes, especially the Megaminx.

Could we have a topic about methods for particular puzzles that immediately translate to others? For instance, how methods other than F2L (like Petrus, corners first) work when adapted to the Megaminx, Pyraminx, bandaged cubes, etc. Not necessarily just methods for a 3x3 that can be adapted, as I'm sure solving "philosophies" for 4x4 (or even) cubes can be generalized to 4x4 Megaminx.


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 Post subject: Re: Puzzle solving schemes which generalize to lots of shape
PostPosted: Mon Nov 25, 2013 10:19 am 
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Joined: Sat Sep 15, 2012 7:42 am
I feel like any method that's designed around the 3x3x3 is going to be too limited to apply to puzzles other than the Megaminx. What you need are some more basic techniques:

- Commutators
- Edge piece series [EPS]
- Corner piece series [CPS]
- Sune
- Orientation fixes
- Parity fixes [especially cuboid parities]
- Pairing [ie 4x4x4 edges, circle edge / outer edges on circle cubes]
- Reduction [ie 4x4x4 to 3x3x3, crazy puzzle to circle puzzle]

With these techniques, you can solve a HUGE number of puzzles, highly bandaged puzzles being the only obvious exception I can think of at the moment. As a start, I suggest you take a look at rline's blog: EPS and CPS. I'm more of a "learn by doing" kind of person, so I'd recommend the following puzzles to pick up some new techniques:

- Domino / 3x3x2 [basic cuboid techniques]
- 3x3x4 [reduction, parity]
- 3x4x5 [reduction, parity]
- Skewb and/or Jing's Pyraminx and/or Skewb Ultimate [EPS, orientation fixes]
- Mercury and Jupiter Crazy3x3x3 Plus cubes [pairing, reduction, EPS, CPS]

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