## Friday, May 23, 2014

### Ghost Cube

The Ghost Cube came into my life almost two weeks ago. After the initial greeting, I admired it from a distance for a week. Finally I scrambled it. It was a bugger to find two pieces that went side by side. I was trying to be systematic, but that is really hard. Once though, when I chanced to turn the puzzle around, Bam! A center, edge, and corner had come together without any effort on my part. Yay! A start. As I built my way around the center I had this niggling fear that I might be in for an unpleasant surprise because of the fact that the puzzle when solved is not in 3x3x3 form. Oh, did I mention that during this solve I did not use any reference photos to see what went where? It is now solved and I have several observations.

1. This is a hand mod version, not a mass produced version. During the solve I noticed that one of the centers that ends up as a corner of the solved cube, was not made exactly right. The vertex sticks out a little bit further than it should in one direction.
2. Two of the centers end up as corners of the solved cube. One of these two should be the starting point of the solve.
3. When a weird shaped piece needs to twist in place, I have a terrible time visualizing which way it should go.
4. When I do a 3-cycle of corners on a standard cube I know which orientation two of them are going to end up with. Not so with this beast.

I think before I scramble it again I should try some familiar moves and see what happens. Perhaps I can start seeing more clearly, and rely less on try-it-and-see.

May 25, 2014
I have not made any attempt to memorize what goes where, as it seems that would defeat the purpose of the challenge of this puzzle. But after 3 solves I am beginning to be able to see a little more clearly. I still maintain that one of the two centers that end up on a corner of the cube should be the starting point, although I can't tell them apart so don't know if one or the other would be better. I have also developed a favorite edge to start with—the long one that has three surfaces.

I'm getting a feel for which way to twist corners, and I've noticed a difference between the middle layer edges and the top and bottom layer edges.

Although it is making a bit more sense than at first, there is still an amount of "maybe this one goes there" type thinking.

So far I've been using a straight layer-by-layer approach and after the first layer have to shift back and forth a lot between cube form and 3x3x3 form.

When I first learned how to solve a Rubik's Cube, I learned a working corner technique, a layer-by-layer method, a corners first method, an edges first method, some F2L techniques, and even tried the Petrus method. I can not imagine ever being able to solve the Ghost Cube corners first. When solving a cube now it is usually either F2L or Corners First, so I rarely use the algorithm I learned for placing middle layer edges, but now we are becoming good friends. :D Perhaps I should try some of the other methods.

May 27, 2014
Layer-by-Layer works and is the first method I tried since it allowed me to complete a layer at a time, which was important as I was getting used to seeing how the pieces fit together. But the algorithm for inserting middle layer pieces, although I like it as far as algorithms go, seemed unnecessary once I realized the Working Corner method could be used. In the latest solve the Working Corner method worked well. Instead of R'URU' F'U'FU to insert a middle layer edge, it only took something like RUR'. On the last corner and edge I tried to figure out how to join them and insert them together, but couldn't figure it out, so ended up easily inserting the edge, then using a 3-cycle to put the corner in.

For the last layer, whether I used the Layer-by-Layer method or the Working Corner method, I orient edges, place edges, place corners, orient corners.

Recap of methods: The Corners First method is not going to happen on the Ghost Cube. Edges First might work, but inserting the corners in the first layer is not difficult and is a tremendous help visually. At this point in my familiarity with the pieces, F2L would be a matter of finding a corner, keeping track of it while finding an edge, figuring out how to make them fit together correctly, and inserting them together as a pair. Seems to me like it would be a lot harder than the Working Corner method.

Now what? More Working Corner solves in which I try to insert the last corner-edge pair together.

May 28, 2014
It is settled. After considering each of the solving strategies I am familiar with, the Working Corner Method is my strategy of choice for the Ghost Cube.

I did not start this process by studying the pieces of the cube carefully. Just scramble and go. Needless to say that first solve took a long time, involved much trial and error, and I could hardly tell the difference between an edge and a corner! Since then I have looked at the pieces in the solved state and noticed some similarities and symmetries. Very helpful. It is still the most challenging 3x3x3 shape mod I've ever experienced and I still sometimes have a hard time finding the right piece for a particular spot. But there is definite progress. One major breakthrough came by taking a hard look at the middle layer center pieces in solved state. I no longer have to twist centers as many times as I used to, in order to find the correct orientation. In my last solve I was down to the last 4 corners, but when I looked at them I decided it was cute the way it was, so I declared it a new solved state. I give you Ghost Cube Man—

May 31, 2014
I was curious to know how others solve the Ghost Cube, so I asked on the Puzzle Photography page, but did not get much response. Thank you Otis Cheng for sharing your approach. So I messaged rline and Burgo asking specifically how they go about it. rline has a unique method. I tried it a couple times, at least I tried following the sequence of steps. He did not go into detail as to how he did each step. Although I do not enjoy my implementation of his steps, I feel that I learned something from trying nonetheless and have refined my solves somewhat. Here is what I have now—

Most of Layer 1

• One of the two columns made up of a center-edge pair that make up one edge of the solved cube.
• The other 3 edges around this same center.
• 3 of the 4 corners around this same center.

Use the Working Corner to solve the Middle Layer

• Use the working corner to orient the middle layer centers one at a time.
• Use the working corner to solve the middle layer edges.
• When the middle layer is complete solve the working corner corner.

Last Layer

• Orient edges.
• Permute edges.
• 3-cycle corners.
• Orient corners.
As I have mentioned previously, the middle layer centers can give me fits. Some things I have learned that can be helpful—

Each has a triangle side. The triangle sides of the correct two adjacent centers can be oriented to lie on a plane. The triangle sides of the other two centers lie on a parallel plane. The hexagon shaped pieces go between these centers. The smallest triangle and the largest triangle go together, but if you forget to check that and are just trying to find which two work together, and two look like maybe they are on a plane, but neither hexagon piece will work with them, those centers need to be on the top of the middle layer rather than the bottom.

## Introduction

Kevin and I have been going back and forth discussing ways to solve the 6x6x6 in which parity is not a problem. There have been references to SuperAntonioVivaldi and Twisty Puzzling and their methods. I made an attempt to utilize some of their techniques to come up with a way to solve the 6x6x6 in a different way than I normally solve big cubes. In the end I decided my old method suits me best.

## One Last Experiment

Kevin's focus in solving the 6x6x6 without parity is to reduce it, not to a 3x3x3, but to a 2x2x2. Today I thought it would be interesting to use my old method, with a minor change, to do just that. When solving the corners early in the solve, instead of orienting and permuting them, I would only orient them. Then when solving the rest of the puzzle using my old method, I would solve to the corners, wherever they happened to be. In other words, I would use my old method to reduce the 6x6x6 to a 2x2x2. It complicated things a bit both visually and in eliminating some shortcuts and options during the solve, but it is pretty much using my old method to reduce the 6x6x6 to a 2x2x2. See for yourself.

 Scrambled

 White and Yellow Centers
 Corners Oriented
 Fill in 3 of the 4 White Edge Rows
 Fill in 3 Yellow Edge Rows
 Insert Last Yellow Edge Backward into Whites
 Solving White Solves the Yellow Too
 Middle Layer Edges on the White Half of the Puzzle
 Middle Layer Edges on the Yellow Half
 Making Progress on Centers
 Almost There
 Centers Solved
 2x2x2 Solved

## Thursday, May 15, 2014

### 6x6x6 Swapped Edges

I solved this puzzle a couple times using the same approach as with a 4x4x4—

1. White and Yellow Centers
2. 8 Corners
3. White and Yellow Edges
4. Middle Layer Edges
5. Middle Layer Centers

There is never a parity issue when doing it this way. Never. But then I read that Kevin Sadler has a different way of solving it that also avoids parity. I tried following his outline but obviously did something wrong because at the end it looked like

## Monday, May 12, 2014

### Four Newish Puzzles

Earlier this spring our house was broken into during the day. Among other things about half my puzzle collection was stolen. Around 40 puzzles. You know, twisty puzzles. Like Rubik's Cubes.

Today in the mail I received a box from overseas with 4 puzzles:

A new Buzzle Ball. I scrambled it once and managed to solve it using primarily the fiddle around trying to figure it out method. I'm looking forward to getting better acquainted with this strange new twisty puzzle.

An old flat-sided V-Cube 6 that probably hadn't been used very much because it isn't very easy to turn. From what I've seen online the new pillowed V-Cube 6 is much much better. I've never had a 6x6x6 cube, so it is nice to have one now. Among the puzzles stolen was a V-Cube 7, an Eastsheen 5x5x5, and a variety of 4x4x4's. So the old V-Cube 6 is my one and only big cube now. I like the weight and size  and shape of it and plan to have more fun with it whenever I get the urge to solve a big cube.

A 2x2x2 cube. My old 2x2x2 cube was stolen! The Rubik's Ice Cube in the drawer doesn't even count as a 2x2x2 as far as playability goes. It is nice to have a good 2x2x2 again. It seems to turn better than the Eastsheen I had, too.

A Hungab Ghost Cube. I've seen some of the Ghost Cube hype online, but didn't think I would get one. I've been in a bit of a slump puzzle-wise for several months. I bought an Evil Eye 2 months ago and only got around to playing with it this month. When a puzzle friend from around the world offered to give me a Ghost Cube, along with the other 3 puzzles, you can imagine that my interest in Ghost Cubes spiked! This thing is beautiful.