Monday, January 28, 2013

4x4x2


The 4x4x2 is a twisty puzzle which is a cuboid when solved, but which can shapeshift when scrambled. The one I'm using is by Witeden. It solves in the same way as other 4x4x2 puzzles.

The Basic Plot

  1. Reduce to a 3x3x2
  2. Solve the Reduced 3x3x2
Step 1: Reduce to a 3x3x2

The first stage in solving this puzzle is to return it to a cuboid form, rather than shapeshifted form. To do this, we use the same techniques as the AI Bandaged cube. If you're not sure of them, that's ok. It's just a matter of rotating specific blocks of pieces using (F'RFR')x2. We do this until we can turn a top layer to create complete blocks. Once all blocks are made, we can then easily make the cuboid shape.

Putting the center pieces in place is quick and easy.

From there, we pair edges as we would for a 4x4x4 cube. The only tricky part is when we end up with two edge pairs left at the end. We can't match these with the same techniques.

My method is to swap the two edges in the same way as we did for the Cubic 3x3x6 (and AI Bandaged and Camouflage cubes). It's not appropriate to provide an algorithm as it's far easier to understand what's happening than to memorise things.

Once this is done we have a puzzle that behaves as a 3x3x2.

The video below shows the progression from scrambled to reduced 3x3x2.



Step 2: Solve the Reduced 3x3x2

The solve here is exactly as we would do it for a 3x3x2 puzzle. Feel free to have a look at that tutorial (3x3x2 Cuboid) if you need to brush up on it.




And that's it. Your 4x4x2 is now solved. I trust this site has been helpful. If you have any questions or want some clarifications, please use the comments to do so.


2 comments:

  1. Beautiful! I love your "parity error" solution. It's very creative. I wonder whether it is expandable to other larger floppy cuboids? I used the RedBUll algorythm x3 to achieve the same thing. I do actually find it intuitive because I understand what it does and why I need to do it. But compared to your technique it is very arduous.

    I will be interested to see what you do when you get a BIG floppy cuboid and this parity presents itself!

    Kevin
    Puzzlemad

    ReplyDelete
    Replies
    1. Thanks Kevin. Appreciated!

      So, a big floppy? You wouldn't be meaning something like a 7x7x6 maybe? Something from Traiphum? He he...

      Delete