Puzzled 2: CT Square-1

Sunday, August 17, 2014

CT Square-1

I have so enjoyed the Cubetwist Bandage Kit this summer that I decided to get a CT Square-1. Earlier in the summer I played around with the Super Square-1 enough to work out another "map" to getting back to cube shape, but the Super Square-1 is such a pain to align that it is not at all fun to play with, and if puzzling isn't fun, then what is the point? Yesterday I scrambled and solved the CT Square-1 several times and it is fun to play with.

In The Land of 52 there are several paths that you can run across.

If you come to 12 [121212] go to 32 [3212/3212].
If you come to 22, 24, or 36 go to 44 [44/44].

If you come to 23 go to 21 or 25. [52/2313 can go to either 52/2115 or 52/2511 in one twist.]
If you come to 21 or 25 go to 2H/44.

If you come to 14 [141111] go to 33 [3311/3113].
If you come to 13 go to House/33, then go to 2H/2T.

Once at 32 or 44, go to 2T/2B.
From all others, go to LH/RH.

Go to 2H/2H, and from there to Cube.

The above is not supposed to mean anything to anyone except me. If you can figure out what I am talking about, you have probably figured out how to solve the Square-1 without my help! :D

OK, if someone does run across this and cares, here you go. 52 means you have 5 adjacent big slices and 2 small slices on one side. 2313 means you have 2 bigs 3 littles 1 big 3 littles as you look clockwise and start with the most bigs. 21 means you have 2 bigs 1 little at least 1 big and who knows what. 2H means 2 Halves of a square that don't make a square, which according to my numerical scheme is 211211. 2T means the top half of 2H. 2B means the bottom half of 2H. LH means Left House, which according to my numerical scheme is 211112. Similarly RH is Right House and is 221111.

When I first started analyzing the Square-1 I was naming things according to the way it looked, but the deeper I got the more difficult it got to come up with unique descriptive names that I could remember, thus the numbering system.

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Rubik's Cube Books

I got my first Rubik's Cube in the early nineteen eighties. The only way I could solve it was to take it apart and put it back together solved. Until, that is, I got some little books that explained sequences of moves that could be used to put pieces where you want them without messing up what was already in place.

The Simple Solution To Rubik's Cube
by James G. Nourse
Notes on Rubik's Magic Cube
by David Singmaster
Solve That Crazy, Mixed-up Cube Puzzle
by Don Frederick.

I think I put together my own strategy using bits and pieces gleaned from all three books. Eventually I lost interest and forgot how to complete the cube, forgot I had those books, and lost track of the cubes.

Mark Jeays' Working Corner Method

http://jeays.net/rubiks.htm

In 2007 my interest in Rubik's Cube was rekindled when I watched the movie The Pursuit of Happyness. Marae found my 1980s cube for me and I tried to solve it. Huh-uh. I could do part of it, but not the last layer. Looking online I found various tutorials. Mark Jeays included YouTube videos with his Solution 2. This method worked for me and although I no longer use it in its entirety, nor could I, as I have forgotten the yellow edges sequences, I still find the basic working corner technique helpful, and use a slightly modified version of his corner twisting technique at times.

In the summer of 2014 we packed 30 or so puzzles and flew to visit Raymond and Fam in the Czech Republic. Breann, who had learned this method and no other, made some comment about bubururu or something like that, and it piqued my curiosity. What were those algorithms, and how similar are they to the EPS technique I use now when using a working corner? So I looked them up. Actually, the three algorithms were for dealing with the two last edges solved, which either needed to be swapped, or flipped, or swapped and flipped. The swapper is very similar to the one I have learned and used since, but I actually like it better in one sense, with a slight modification.

To swap UR and FR without flipping:

U' R U' R' U' R U' R' U'

To swap and flip UR and FR:

F' U' F U' F' U' F U2

To flip UR and FR:

F' U F U' R U' R' U

Will I actually learn and use these? Probably not. But I like them. :)

There is a slightly different implementation of the Working Corner Method. Arnaud van Galen calls it the Keyhole Method. I like his demonstration better than the one I originally learned. It just dawned on me why he is able to get away with doing it the way he does. He goes ahead and finishes the F2L before going to the last layer, unlike the way Jeays uses the working corner (keyhole) to also get the last layer. Since I no longer use the working corner to get the last layer, I should implement Arnaud's technique.

Jasmine's Scalable Method

http://peter.stillhq.com/jasmine/rubikscubesolution.html

This was the next method I learned. For awhile the idea of speed cubing appealed to me. This promised to be a good beginner's method for those that wanted to go on to faster method's later. Now that I know what I know, I wouldn't recommend this method if your goal is to be able to consistently solve the cube in less than 30 seconds. Rubik's Speedsolver Champion Leyan Lo presents a beginner's method that I like the looks of although I've never learned it. I have recently watched Arnaud van Galen's complete beginner's method video series and recommend them. Gilles Roux presents a beginners' method that is very close to one of my favorite ways of solving the cube. The simplicity and comprehensibility make this method a good place to start if you want to understand the Rubik's Cube. Also, if you are interested in speedcubing you should check out this YouTube video.

After trying for months to get under a minute with both Jasmine's Method and the Corner's First Method—and failing, I finally decided to quit trying and just enjoy cubing at a nice slow pace.

Don't get me wrong. Jasmine's Method has its merits. The sequences for orienting the last layer edges and corners, and permuting the last layer edges are still in my arsenal of useful algorithms.

Adam Cheyer's Corners First Method

Philip Marshall's Ultimate Solution

http://helm.lu/cube/MarshallPhilipp/
After learning to solve the cube corners first, what is next? An Edges First Method! This was a very difficult tutorial to follow, but once I got it, it was my favorite way to solve the cube for awhile. It uses only a few algorithms, and when you are finished solving the cube you feel like you've solved the puzzle, not just used memorized sequences to unscramble it.

Gilles Roux presents a beginners' method that could be used to solve the cube edges first. The simplicity and comprehensibility make this method a good place to start if you want to understand the Rubik's Cube. His technique is much easier to follow than Marshall's.