Saturday, June 27, 2015

Square-1 Parity Fix

I do not have a set algorithm for the parity fix I use. Just go to 44 / 44, swap 3 pieces on top with 3 on bottom, go back to cube shape and resolve then finish solving the colors. I noticed one day though that sometimes when I get back to cube shape all the correct colors are on top, but usually not. So today I set out to discover and document how to fix parity with a minimum of damage to the solve. Found it. When you make the swap of 3 pieces make sure you move the same number of yellows down that you move up. For example:

/ (3,3) / (–1,–2) / (–2,4) / backtrack

goes from solved to

Tuesday, June 23, 2015

Summer 2015 Twisty Puzzle Progress

2x2x2 Cyclone Boys Cube
2x2x2 Hollow Ball
3x3x3 Zanchi 5 Cube
4x4x4 Cyclone Boys Cube
Crazy 4x4x4 II

2x3x3
Crazy 2x3x3 without the freaky move
2x3x4
3x3x1 Scramble
3x3x3 Magic Octahedron

3x3x3 Mixup Cube
F-Skewb
Pyraminx
Pyraminx Crystal
Pyraminx Trignis

Skewb
Curvy Kite-ohedron Skewb (Curvy Rhombohedron)
Skewb Dodecahedron (Skewb Ultimate)
Skewb Tetrahedron (Jing's Pyraminx)
Curvy Copter with jumbling

Square-1
Megaminx
3x3x3 Circle Cube
3x3x3 Crazy Jupiter
3x3x3 Crazy2face B4 Jupiter

Gear Dodecahedron

Saturday, June 20, 2015

Crazy 2face B4

I know I know, less than two weeks ago I posted, "Basically I can't be bothered with anything that has alignment or sticker or bandaging issues right now. Been there done that. Just want some smooth simple fun." No bandaged puzzles huh? Well guess what has been calling my name lately.


June 22, 2015 I posted on Puzzle Photography:
I haven't played with the Crazy2face B4 Cube in a year and a half maybe. I didn't intend to play with it now. I was enjoying my smooth, simple puzzles that don't have any bandaging. But this started calling my name. So here it is. I'm not sure what it was even named in the past, if anything. It has one 0-face, two adjacent 2-faces, and three 1-faces lined up. And one pink piece. I have an idea that maybe Andy Chillingworth or Kevin Sadler introduced it but I'm not sure. I think it is supposed to be one of the easier configurations but I'm not sure. I'm not looking for hints on solving, but rather if it was given a name. Any ideas?
June 22, 2015
I've been fiddling with it. When I had no idea how to start I tried finding notes I had made previously somewhere, I tried looking at diagrams Burgo had prepared back when, but nothing helped. So I just started fiddling with it and found myself trying to reduce and solve the white edges. The white side is the 0-face. Next I figured I'd reduce and solve the white corners. And by that time figured I'd reduce the rest of the corners. This is where I am now.


June 22, 2015
The next logical step to me in my fiddling was to reduce the non-white edges. But the only way to reduce is on the white side / 0-face, so that means things got a bit muxed ip.


Here is a view of my cool, wet yard in the hot, dry land where I live.


And done. The 0-face and B4 bandage certainly added an extra challenge but once reduced it did not require any special algorithms to solve. Reducing did not require any special algorithms either, just a different technique that isn't needed in solving a normal 3x3x3.


Megaminx

I don't have many QJ puzzles but really like this Megaminx with thick tiles. It is the only Megaminx I have. I like to solve it from the bottom up using F2L type moves for inserting corner-edge pairs. Then on top use a familiar edge flipper to get all the edges face up, then a modified Sune to place them. Finally I get the corners in place with a commutator 3-cycle and twist any that need it using the same 3-cycle and twisters I use on a 3x3x3.

This is one more solve so far in the summer of 2015. Up to 22—

2x2x2 Cyclone Boys Cube
2x2x2 Hollow Ball
3x3x3 Zanchi 5 Cube
4x4x4 Cyclone Boys Cube
Crazy 4x4x4 II

2x3x3
Crazy 2x3x3 without the freaky move
2x3x4
3x3x1 Scramble
3x3x3 Magic Octahedron

3x3x3 Mixup Cube
F-Skewb
Pyraminx
Pyraminx Crystal
Pyraminx Trignis

Skewb
Curvy Kite-ohedron Skewb (Curvy Rhombohedron)
Skewb Dodecahedron (Skewb Ultimate)
Skewb Tetrahedron (Jing's Pyraminx)
Curvy Copter with jumbling

Square-1
Megaminx

Thursday, June 18, 2015

Square-1—Back to Cube Shape via Faces

On the Puzzle Photography page Burgo said regarding my blog post about the Square-1 from the past, "This was my favourite: Jig, Around, Over, Swap, Jiggle Joggle, Swap, Go Back, Go Back, Go Back :) I would use a photo or a diagram for a starting position, and then the notation."

Well, here is a compromise. I am not into mindless algorithms when getting the Square-1 back to cube shape, but here is a diagram that shows how I like to do it.


Puzzles I've solved in the last few weeks:

2x2x2 Cyclone Boys Cube
2x2x2 Hollow Ball
3x3x3 Zanchi 5 Cube
4x4x4 Cyclone Boys Cube
Crazy 4x4x4 II
2x3x3
Crazy 2x3x3 without the freaky move
2x3x4
3x3x1 Scramble
3x3x3 Magic Octahedron
3x3x3 Mixup Cube
F-Skewb
Pyraminx Crystal
Pyraminx Trignis
Curvy Kite-ohedron Skewb
Skewb Dodecahedron
Curvy Copter with jumbling
Square-1

June 23, 2015
Today during a scramble I started trying to see how many little pieces I could get together. It wasn't too hard to get them all together. My first thought was, "Isn't this rline's method?" And then my second thought was, "Wow! It is really simple to get back to cube shape from here."


Wednesday, June 17, 2015

Square-1—How I Got Started

I got a shipment of twisty puzzles from Cubefans.com (Cube4You) on Monday, August 4, 2008. I’m not sure if I even touched the Square-1 on Monday, or if I waited until Tuesday. I think I started with the Megaminx. Sometime Monday or Tuesday I checked out the Square-1. Before putting on the stickers I scrambled it. It was quite a challenge to get it back into cube shape. I wasn’t sure how I did it, but it involved getting symmetrical shapes on each side. This was probably Tuesday.
I guess I put the stickers on it on Wednesday. After putting stickers on I wasn’t going to scramble it right away. I was going to do just a few moves at a time and then undo them to see what I could learn. That didn’t last more than a couple minutes. Before long it was thoroughly scrambled. No amount of fiddling and twiddling could even get it back into cube shape. I worked on it off and on for a couple days.

Finally on Friday I got out a pad of paper and started systematically recording starting positions, and results. After writing down 65 of them, I wanted to quit being so systematic and start following different trails as I came to them, and pretty soon I had 6 corners on one side which made a 6-pointed star, and on the other side an eye-shape, which was 1 corner, 3 edges, 1 corner, 3 edges. I had a feeling this had some potential. It was late though, so I went to bed.

Saturday morning it all quickly fell into place. The 6 + 1313 became 44 + 44 became 2 tops + 2 bottoms became 2 halves + 2 halves became a cube. Now all I had to do was figure out how to get the colors solved!

First I got the edges. I don’t know exactly how I did it and I wonder if it will always be that easy. Then I was able to get 3 of the 8 corners fairly easily. Somewhere along the line I realized that I was moving corners around without messing up the edges, so I looked up a notation for doing Square-1 moves and used it to write down some moves that move corners around without messing up edges. I also wrote down where the corners were both before and after, so I would be able to do something with it. What it does it swap the 2 front corners on top and the 2 corners on the bottom right. I used my corner swapping algorithm with setup moves to swap a blue on the bottom with a green on the top, so that I had 3 of the 4 blue corners on top, and, of course, 3 of the 4 green corners on the bottom. And they were all 6 in the correct places. So I just had to swap a top corner with a bottom corner to have the cube solved. I got all the blue corners on top and all the greens on bottom, and I had the bottom solved, but 2 blue corners needed to swap. I hadn’t had a situation in which I needed to do a 3-cycle, but was sure that I could use the double-swap algorithm twice with setup moves to do a 3-cycle. So to swap a pair of corners I could turn the top 90˚ which would make exactly 1 corner right and then I could use my algorithm to 3-cycle the other corners into place. The only problem would be, my 4 blue edges would all be out of place. And I didn’t know how to move edges without messing up corners.

After much experimenting, that resulted in having to practically solve it over again several times, I ended up with all the edges solved, but 2 green corners swapped. Somewhere along the line I had all the corners solved, but 2 edges swapped. I figured out how to swap edges without messing up corners, but I couldn’t use it to fix the 2 swapped corners after all. I could just use it to switch from 2 swapped corners to 2 swapped edges.

With most of the cube solved it was relatively easy to write down moves and their results and to come up with ways to swap pairs of corners, and to swap pairs of edges. This gives me a way to 3-cycle corners, and to 3-cycle edges. In the midst of all the experimenting there were times when I would mess up and have to use the moves learned so far to get back to one pair of swapped something. Sometimes it was quick and easy, sometimes it was difficult. Try as I might I couldn’t find a way to swap 2 edges, the very thing I needed to do. I figured I was facing some kind of parity issue. I still don’t understand exactly what parity is, but I figured to fix it I would have to back out of the cube configuration and come back to it. Finally I went to Jaaps page and read just enough to get me through. Here is the link to the page that I look forward to studying in depth some day, after I am convinced I can solve the Square-1 on my own.

http://www.geocities.com/jaapsch/puzzles/square1.htm#oddperm

And here is his paragraph that helped me figure out what I had to do.
“The quickest way to perform an odd permutation is to go to the scallop-scallop shape (3 twists), swap three corners from one layer with three from the other (1 twist), and return to the cube shape (3 twists) which takes 7 twists in total.”

I did take a quick look through his diagrams to see what he meant by “scallop.” It is what I called the 44 in my analysis when I was trying to get it into a cube shape at the beginning.
All the above in this post was written in 2008 when I first got the Square-1. As it turns out I don't use any of the Corner Swappers and only 1 of the Edge Swappers routinely now. 

Monday, June 15, 2015

Square-1

I've been on a puzzle kick lately, solving puzzles that have been put away for awhile. Mostly it has been fun easy pleasant to play with puzzles. Anything with peeling stickers or alignment issues have been avoided. Then came the Curvy Copter adventure mentioned a couple days ago. Well I have a nice CT Square-1 that I haven't played with much since getting it last August. No time like the present.

The Square-1 was one of the first puzzles I got after the 3x3x3 years ago and I painstakingly worked out a strategy for solving it. The only help I needed was the parity issue at the end when solving the last edges. I found what I needed at Jaap's site. I've never taken the time and energy to learn my method well enough not to need notes after a prolonged absence. Maybe this time...


Saturday, June 13, 2015

Curvy Copter Adventure

Yesterday we went to pick up the California grandkids to bring them home for a visit. I packed some puzzles for the car ride one of which was the Curvy Copter. I wanted to see if 11 year old Roark could make any interesting patterns on it. Eventually it ended up under almost 4 year old Rorianna's control and by the time it got back to me it was in a state I don't remember ever seeing before.


By the time Roark was finished trying to get it back to cube shape it was the lumpiest Helicopter Cube I had ever seen. Now I am familiar with jumbling, but whenever I would jumble the cube, I would just use it to scramble petals so that they were out of orbit. Or to unscrambled said petals. It was never shape shifted for long.

I finally got it solved today, but it took a long time and turned out to be a great new adventure. Thanks grandkids. =D

If you are interested my method for the Curvy Copter is to solve the 6 edges, then all the petals in no particular order, then the corners.

Puzzles I've solved in the last few weeks:

2x2x2 Cyclone Boys Cube
2x2x2 Hollow Ball
3x3x3 Zanchi 5 Cube
4x4x4 Cyclone Boys Cube
Crazy 4x4x4 II
2x3x3
Crazy 2x3x3 without the freaky move
2x3x4
3x3x1 Scramble
3x3x3 Magic Octahedron
3x3x3 Mixup Cube
F-Skewb
Pyraminx Crystal
Pyraminx Trignis
Curvy Kite-ohedron Skewb
Skewb Dodecahedron
Curvy Copter with jumbling

Thursday, June 11, 2015

2015 Puzzling—Back after a long break

After months away from puzzling I'm back for awhile. Got back into it about 3 weeks ago. It is different this time though than it has ever been in the past.

Instead of feeling compelled to solve every puzzle, or better yet, without notes—
Instead of feeling compelled to take on a new challenge—
Instead of feeling compelled to remember or relearn the best method—

I just pulled out my boxes of puzzles, opened them up, and looked for a nice easy puzzle to solve. I didn't care if it was the best method I had ever come up with or picked up. Just have fun, see what flows. If I wanted to refer back to old notes, fine; if not, fine. If I didn't feel like messing with a certain puzzle at the time for some reason, fine. For example, the Pyramorphinx is the Mefferts brand and is not smooth and fun to play with. The good one I had that was smooth was stolen. So the Pyramorphinx got left in the box. The Fluctuation Angle Cube is just so spikey when scrambled. Don't feel like that now. The Gear Cube Extreme has some crazy long algorithm that I never can remember and just don't want to fuss with right now. Some of the Gear puzzles have bad stickers that I don't want to mess with now. Basically I can't be bothered with anything that has alignment or sticker or bandaging issues right now. Been there done that. Just want some smooth simple fun.

So what have I been enjoying?
Each of the following got at least one solve and I want to solve them again soon.

2x2x2 Cyclone Boys Cube
2x2x2 Hollow Ball
3x3x3 Zanchi 5 Cube
4x4x4 Cyclone Boys Cube
Crazy 4x4x4 II
2x3x3
Crazy 2x3x3 without the freaky move
2x3x4
3x3x1 Scramble
3x3x3 Magic Octahedron
3x3x3 Mixup Cube
F-Skewb
Pyraminx Crystal
Pyraminx Trignis
Curvy Kite-ohedron Skewb
Skewb Dodecahedron

I solved the Pyraminx but don't really care if I solve it again for awhile. I enjoyed the Skewb but don't need to solve it again for awhile.

The Curvy Kite-ohedron Skewb (aka Curvy Rhombohedron although the faces are not rhombi) was scrambled in the box and yesterday it was calling out to be solved. It turned out to be fun so I also did the Skewb Dodecahedron (aka Skewb Ultimate). It was fun too. I solved them both much like I solve the Skewb, which is—

two opposite corners
the skew corners
the last 4 corners
3 cycle the centers

With the Skewb variants there are sometimes twisting and flipping that needs to be done too but it just flowed in nicely with the basic solve. I also solved the Skewb Pyraminx (aka Jing's Pyraminx), but don't want to solve it again soon. I don't like the way the stickers feel. So what I'm looking for here are puzzles that are pleasant to solve, pleasant to the touch,

What is next? Square-1 maybe. Or maybe I'll work through the ones in the list above again. Or maybe fiddle with the 2x3x4 Camouflage Cube that I have had a long time and have never solved.

Monday, November 10, 2014

LG optimus FIRE Contacts

The L34C also goes by optimus FIRE. Since this is an Android phone, that means it syncs easily with my Gmail accounts. Unfortunately, unbeknownst to me, that meant it gave me 400+ unwanted contacts. As far as I know they can be deleted one at a time off the phone. But I'm thinking that if I synced to Gmail again they would come back. And one at a time is unacceptable. Neither the online tutorial or the manual spelled out how to get rid of the hundreds of unwanted contacts, but somehow, praise the Lord, I figured it out.

Go to Gmail on the computer.
Open the Contacts Manager from the pulldown menu on the left that says Gmail.
Go down the left hand column until you find Other Contacts and click on it.
Click the box at the top of the checkbox column to select all.
Uncheck any you want to keep.
Open the More menu and choose Delete.

Go to the Settings on the phone.
Use Accounts & Sync to sync the phone Contacts with the newly cleaned out Gmail Contacts.

My First Android Device—LG L34C

For years I've been accumulating minutes on my tracfone. I had it to the point where the last year or so it cost less than $5 a month for cell phone service. But then this year I used up all my minutes, mainly because of a trip to Baton Rouge with Robert. I set up a family group and sent a lot of texts. So it came time to load up the phone with more minutes and another year of service. When I went to tracfone.com there they were—Smart phones! Tracfone now has Smart phones. I liked the look of the next to the bottom of the line, and found it at a local Kmart for only $50, so coupled with a years worth of service it averages out to less than $14 a month for the next year. The only thing is, will I need to buy more minutes or texts or data before the year is up? We'll see.

The quick start guide was good to get things going. The Service Manual that came with it took it a little further, but it seemed like it didn't really come close to explaining everything. Last night I found two online sources that might be helpful.

LG L34C Tutorials

And a manual that was downloadable. It is called 12_27_2013_LG L34C_UG_EN_Final.pdf.


Tuesday, October 14, 2014

Bishop's Pumpkin Farm 2014

Rory and Fam, and Raymond and Fam joined forces to get all our current grandchildren to Bishop's Pumpkin Farm last Sunday. What a fun time it was. It was quite a treat to see Annie and Roriana having fun together. And what a blessing it was to see Roark take Alex under his wing to show him a good time. Alex was reluctant to join in at first—notice on the first set of slide pictures he is not there. But it wasn't long before he was having fun with the rest of them. Here is a link to the 92 photos I uploaded to Flickr. It may take awhile for them all to load depending on your system and internet connection.

Saturday, August 23, 2014

Astonished by Mike Erre #01

To sell Jesus on the basis of meeting felt needs is fine so long as we define how exactly He “meets” those needs. If meeting those needs means the removal of the sin, sorrow, and disappointment of human life, then we’ll be perpetually disappointed. If meeting those needs means that Jesus uses our unfulfilled desires to keep us dependent and reliant upon Him, then we’re getting close to the secret of the full life that Christ offers.

Sunday, August 17, 2014

Dian Sheng 3x3x2

This was the cheapest one I could find, and it is a bit disappointing. It does not turn very well around the circle. I have attempted to loosen it up by adding lubricant, but it hasn't helped a lot. Maybe some. I think I will avoid this puzzle maker in the future.

On the plus side, as I was playing with it, not only was I able to remember how to solve it without looking at my notes from the past, but I also came up with a new and better way to solve the two edges that are adjacent to the corner.

Drat. I should have written it down immediately. Now I can't get it.

(Later) OK, I've come up with something but I don't think it is what I came up with this afternoon. But here it is. After getting the circles filled correctly locate the corner—on this puzzle it is the red, white, blue corner. With the white circle on bottom, use either setup moves or EPS to place the blue-white (or red-white) edge on top and across from where it needs to go. Spin the corner to the top so that the blue-white (or red-white) is directly across from its spot beside the corner. Do (M2 U2) x 2 to move it across. Move the corner and edge that are now paired up back around to the bottom.

I think this is easier than the former method I used, but probably not a whole lot. I think it is somewhat similar to what I came up with earlier today. It seemed so intuitive this afternoon.

August 20, 2014
After a number of scrambles and solves, the turning quality has improved enough that I am not quite so disappointed anymore.

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.

Saturday, August 16, 2014

New Puzzles from Cubezz.com

Awhile back our house was broken into and around 40 of my around 80 puzzles were stolen. During the summer I replaced the CT Bandage Kit and got tons of use out of it as indicated by previous blog posts. After we got back from our summer trip, I ordered 8 puzzles from Cubezz.com. Some are to replace stolen ones, some are new to me. Here is what I got.

  • Lanlan Curvy Copter replaces the Curvy Copter and Helicopter Cubes that were stolen.
  • CT Square-1 replaces the Square-1 that got stolen and the irritating Super Square-1 that I wish had. It is just the alignment thing with the stupid circle part. Now that I have a nice Square-1 perhaps I'll play with it enough to no longer need the notes I made way back when I first figured it out.
  • Cyclone Boys 2x2 Cube and 4x4 Cube. These are colored plastic cubes, which I like a lot, and they seem to work well.
  • DianSheng Crazy 3x3x2 replaces the 3x3x2 and Crazy 3x3x2 that were stolen. This one does not turn very well. Perhaps with some lubrication it will work better.
  • Dino Skewb or F-Skewb is new to me but I think it is sort of like the Master Skewb that was stolen only simpler.
  • QJ Fourleaf Clover Hollow Ball appears to be a very nice 2x2x2 puzzle. I hope Annie likes it.
  • 2x3x4 Camoflage Cube is brand new to me. I've never had any of these before, or anything like it that I know of. Should be fun.

Thursday, August 7, 2014

Bandage Cube Kit—Cross Road Cube

We traveled from Prague to Sacramento on the 5th of the month. Along the way I worked on the Cross Cube and documented the adventure in a binder. Here's the story—

A lot like the Meffert's Bandage Cube, or the Bicube, only the 2x2x2 block of pieces diagonally opposite the 1x1x1 of the Bicube is unbandaged, so is indeed more 2x2x2 ish.

Since I have had the Meffert's cube for a long time and am somewhat familiar with the screwy color scheme he used, I tiled the Cross Cube to match, so as to avoid any confusion.

On the first scramble the blue-white and orange-white edges fell into place as I oriented the centers. The big challenge was pairing up the blue-orange-white 2x1x1. After that I solved it as the Bicube with no problem.

On the second scramble I made sure each piece was scrambled. Getting the 2x2x2 corner was somewhat challenging but I finally got it and went to my Bicube solve. All was going well until I got to what should have been the last step—the 743 3-cycle. But instead, 7 and 3 had to swap and flip. Huh?!?

Figuring it had something to do with the 2x2x2 corner, I used it to twist one of the pieces to the other one. Things were pretty messed up so I re-solved and 7 and 3 were no longer swapped. 7 and 8 were! But at least they weren't flipped. :D

Decided on a new approach. Point greens down since with the little ones on the blue side they could be pointing back without pointing them back. Then put the 1x1x1 on top on the left and do a mirror solve. By the time I did what I could do, I put the greens at the back and fixed the top and... found 3 and 6 were swapped.

Tried something else—don't remember what—ended up needing a 4-cycle, which is not any better than a swap. So I did a 5-cycle to see what would happen. 4 and 6 were swapped. Did the place #5 algorithm. It then needed a 6-cycle. Did it repeatedly, and it just cycled through a bunch of 6-cycles until it came back to the single swap.

A little background. I got up at 4 AM in Prague to get ready to go to the airport and fly home. We flew to London. Had a several hour layover. Flew to Dallas. Had an even longer layover. On the flight to Sacramento I wrote:
Altogether it has been a very long day. In Dallas I scrambled the 2x2x2 corner and couldn't get it back. During the biginning of the flight to Sacramento I tried and failed and was getting frustrated. Being awake for 24 hours may or may not have something to do with it.
After forcing down a can of Ginger Ale I tried to sleep. I slept some although I dept waking up. Finally I decided to get the cube out, solve it as much as possible, then retile the pieces I couldn't solve. But instead of the red-yellow-green corner, I was using the blue-white-orange one as the #2 corner. After several tries through the #5 routine I noticed the blue-white-orange had twisted and was paired up perfectly with the blue-white edge. I put them home. Then #6, #8, and #1. I don't think I had to cycle 743. It was solved! No pair swapped! Somewhere in the trying to solve the 2x2x2 corner I suppose, I remedied the swap problem. 

Played around with it for a bit more. Somehow twisted #2 clock and #8 anti. All else was still solved. How? I had an idea, but hadn't written it down. Started writing. 

Fi U L F U Li U2 (#5)
F R U Fi Ui
Fi U L F U Li U2 (#5)
Ri
Fi U L F U Li U2 (#5)
Double swap; 743; double swap; 743 x 2

The above twists #2 anti and #8 clock.

I still do not know how to systematically fix the situation in which 2 pieces need to swap.

August 7, 2014
Today I saw that
Fi U L F U Li U2 (#5)
F R U Fi Ui
Fi U L F U Li U2 (#5)
Ri
Fi U L F U Li U2 (#5)
times two twists #2 clock and #8 anti. Can that be?

And after more experimentation and solving, I finally scrambled it in such a way that I got the single swap again. And still have no idea how or why or what to do about it.

August 8, 2014
OK. I have an idea. An intelligent guess. From solved I did R Bi Ri. That took the orange-white edge out of place. Then I tried to keep track of things but got hopelessly lost eventually, but managed to get the orange-white edge back home without turning B 90°. Upon solving the cube from there, I ended up with 2 swapped pieces, 3 and 4. I just don't have a nice neat algorithm for doing it. I think the single 90° turn of B key to the single swap situation. It isn't polished but I got something.

R B Ui L Ui Fi L D2 L2 does a 90° turn of B then restores the blue-orange and white-orange edges. It wasn't easy to unlock the resulting bandages on F and R, but eventually got it and solved the puzzle! Yay!

Sunday, August 3, 2014

Bandage Cube Kit—Double Block Clock

The Sune Thing (TST)
Green on Right; Yellow Up
R U Ri U R U2 Ri (DE)2 Ui L Ui Li y2

Everything else is done with Green Up; Yellow on Right

Corner Twisters (edit 8/12/14 below: a better way found)
CT#1
2, 3, 6, 7 anti; 8 clock
(TST)—R (R U Ri Ui) Ri—(R U Ri Ui)x3

CT#2
2, 8 clock; 3,7 anti
(TST)x2—R (U R Ui Ri) Ri—(R U Ri Ui)x3—R (R U Ri Ui)x3 Ri—(R U Ri Ui)x3

CT#3
2, 7 clock; 6,8 anti
(TST)x3—(R U Ri Ui)x3—R (R U Ri Ui)x3 Ri—(R U Ri Ui)x3—R (U R Ui Ri)x3 Ri

CT#4
2, 3 anti; 6, 8 clock
(TST)x4—R (R U Ri Ui)x4 Ri—(R U Ri Ui)x3—R (R U Ri Ui)x3 Ri

CT#5
2, 3, 6 anti
CT#3—CT#2

CT#6
3 anti; 6 clock
CT#3—CT#1

CT#7
2 anti; 6 clock
CT#3—R (R U Ri Ui) Ri—CT#2—R (U R Ui Ri) Ri

CT#8
3, 7 clock; 6, 8 anti
CT#2—CT#1

So far I've solved it once. I forget now which CT I used at the end. I'd like to do multiple solves and keep track.

August 4, 2014
It is really pretty simple to solve all the edges, even if they need flipped. Permuting the corners hasn't been a problem either. It is orienting the corners that can be difficult. Got down to needing to twist 2 and 8. Twisted 2 and 6, then swapped 28 and 36, then twisted 2, 3, and 6. I finally ended up needing to twist 2 and 6, which I could do. Something like that.

August 12, 2014
In spite of what I said on the 4th of the month, I was not able to flip edges today when I tried to solve Double Block Clock, until I looked at the flipper for Double Block. Here is how it plays out for DBC:

Flipping Edges—R (U2 L F Li U2) Ri (U2 L F Li U2) (U R2 Ui R2) flips UB and UR and double swaps some corners.

Twisting Corners—Doing the Edge Flipper twice twists 2 anti and 3, 6, 7, and 8 clock.

Twisting 2 anti and 3 clock the easy way—((R Ui Li B L U Ri) (R U Ri Ui)) x 2 (R U Ri Ui) x 3

August 14, 2014
Although I found an easier way to twist corners 2 and 3 a couple days ago, it still isn't so easy to access all the corners that may need twisting. So I kept experimenting along the same lines—

Twisting 2 clock and 3 anti—((R Ui Li Bi L U Ri) (U R Ui Ri)) x 2 (U R Ui Ri) x 3

Twisting 3 anti and 6 clock—(R2 Ui Li B L U2 Ri Ui Ri) x 2 R (R U Ri Ui) x 3 Ri

Twisting 2 clock and 8 anti—(R2 Ui Li Bi L U2 Ri Ui R U Ri Ui Ri) x 2 R (R U Ri Ui) x 3 Ri

It is a simple thing to swap 2 with 3 and 7 with 8, so it would be a simple setup to twist 3 and 7.

It is a simple thing to swap 3 with 6 and 2 with 8, so it would be a simple setup to twist 6 and 8.

This covers 5 of the 10 pairs of corners that may need twisting. But of course each of these twists a pair in opposite directions. I'm thinking that in combination with the Edge Flipper Corner Twister ... I don't know ... many actual combinations could be dealt with. But I wonder how many others could not.

August 15. 2014
An endgame: The green-yellow and orange-yellow edges were swapped and the corners were in a 4-cycle. B 90° turned the swap into a 3-cycle, but, of course, one of the edges was the blue-red. So I had to move something that wasn't part of the 3-cycle into BD to replace it, do the 3-cycle, then move the blue-red back. A lot of edge-flipping was needed too, including the blue-red, so it got moved out, flipped, and moved back in again. When finally the edges were all solved, 5 corners needed permuted. Two quick Triple-EPS left me with all of them permuted, and 2 needing to twist anti and 8 clock. I used an EPS to swap them, then did the 2 clock 8 anti twister, then undid the setup move. Done.

Another endgame: Similar situation with edges, but this time I tried to make fewer trips in and out of BD, doing the cycle and flip during one trip. When all the edges were solved, corners 3 and 8 needed to swap, and corners 6 and 7 needed to swap. A Sune, Triple-EPS, Antisune permuted them, leaving 6 needing a clockwise twist and 8 an anti twist. I twisted them, but the wrong way, so did it again, but messed up somewhere—I think on the UR EPS. After re-solving the edges, it needed a 26 37 double swap. Several Triple-EPS later the corners were permuted and 3 needed to twist clock and 6 anti. I set them up with a swap, did the 36 twister, and undid the setup.

In both of the solves above, getting to the endgame required moving the red-blue piece back home without a simple B 90° move, as that would put it back into a single swap of edges scene. I used R Ui Li B L U Ri to move it out. But is there any reason I couldn't use Ui L2 D L2 U instead?

Friday, August 1, 2014

Bandage Cube Kit—Double Block

Double Block is another one of Burgo's creations. On October 28, 2012 he posted:
OK, Mildly Addicted here :oops:
I thought I'd make an easy one.. turned out to be `a little tougher` than I first thought. *Warning* this one's trouble :wink: . I called it the Double Block.. for more than one reason. My method for this one is a little scrappy at present, see what you think.
He listed it as Difficult, and added another bandage, calling it Double Block Clock, which he listed as Very Hard. I don't know about Double Block Clock yet, but Double Block fell together nicely for me. I wonder if there is something in the scrambling that I am missing that would make it more difficult. I don't think so, but if someone would like to challenge me with a Double Block scramble, I'd me more than willing to try it out.

With the two blocks solved and Green Up and White on the Left, the 5 corners, and 5 of the 7 edges are easily permuted with moves of R and U. My main algorithms?

1. (Ri U R Ui) x n and (R U Ri Ui) x n where n is an element of {1, 2, 3}. In other words, EPS, Double-EPS, and Triple-EPS.

2. Ui L2 D L2 U moves FD and BD into U and R.

3. (R U R Ui R U R Ui R) swaps UR and UB and cycles 4 corners.

4. (R U Ri U R U2 Ri)—Sune— works with Yellow Up and Green Right, but in my solves so far I haven't used it to move edges.

5. I haven't come up with, or needed, a 3-cycle of corners. The 3 double swaps have been adequate for permuting corners.

6. Twisting Corners—to me, this is what puts this puzzle in the Difficult range. First, I'll give the algorithm, then I'll explain how I came up with it.

Twisting 6 clock and 7 anti Steps
1. Hold Yellow Up and Green on R.
2. ((Right-hand Sune) (DE)2 L (Left-hand Sune) Li (DE)2) x 3
3. Hold White on Left and Green Up.
4. (R U Ri Ui) x 3
5. (Ri U R Ui) x 3

No long, complex, unfamiliar sequences at all! But how did I come up with that process? Well, I knew I could use Sune with Yellow Up and Green on the Right. I knew that because of the 2x2x1 block I couldn't use the Sune/mirror method of twisting corners simply. But what did I have to lose. Figured I would try to do something like it and see what happened. I did it 3 times to preserve the edges. After step 2 I went back to White on the Left and Green Up and looked at the corners. I saw that corner 2 (FRU) needed to go to 3 (RFD) so I did the Triple-EPS that would do that. Then I looked at the corners and saw that 2 and 7 (URB) needed to swap, and 6 (DRB) and 8 (ULB) needed to swap, so I did the Triple-EPS that would do that. Then I looked at the corners and noticed that 6 twisted clockwise and 7 anti-clockwise. Golden. :D

August 3, 2014
Oh no!!!! I was afraid it couldn't be that easy. After having such an easy time "figuring out" Double Block, I moved on to Double Block Clock. The Clock part made it impossible to twist corners as with Double Block. So I was exploring different things I could do with it, and discovered a whole new way of scrambling Double Block that does funky things like flipping edges. So no more DB Clock until I have a go at the revisited Double Block with new twists and turns not covered on the first go round.

7. Flipping Edges—(U2 L F Li U2) Ri (U2 L F Li U2) R flips UB and RB and restores FD.

Tuesday, July 29, 2014

Bandage Cube Kit—Pendulum

Andrea of Germany came up with this one and posted it on the twistypuzzles.com forum back in November 2012. Burgo rated it as difficult. I confer. I've given it three good scrambles. On the first one, after getting down to needing a corner 3-cycle to finish up, I retiled for further analysis. After coming up with some more corner 3-cycles and a way to flip edges and twist corners, I solved it completely a couple times. The last time I had to flip all 4 edges and twist 5 corners at the end.

After solving the bandaged pieces, I placed the edges. It is an easy task and seeing which ones that need to flip is so much easier for me when they are in place. Using 90° turns of the white bar and the red bar, pairs of edges can be flipped. More specifically, with orange up and yellow on front, M2 (F U F2 Ui F) (Ri F2 R F2) M2 flips UR and FR. It also 5 cycles corners. The first (section) does the flipping, and the second (section) puts them back in place. During the solve I don't really put the edges at UR and FR and do the algorithm. It doesn't really matter which side the one on top is on, and it doesn't matter which side the one on bottom is on. Turn the one on bottom that needs flipped down with either F or Fi. Turn the one on top that needs flipped to UF. Swap them with F2 and they are flipped when the bandaged pieces are put back home. After the edges are flipped and solved the hard part comes—the corners.

During the experimentation and analysis stage I came up with 4 key sequences that can be used to solve the corners. I'm thinking that perhaps with further work the method could be refined and simplified, but I'm ready to move on. Annie wants to help me tile a new puzzle. :D

S1: M R U2 Ri U2 Mi = FR > UR > UL; 18327; x3 pure cycles 12873; doesn't move 4
S2: M Li U2 L U2 Mi = FL > UL > UR; 18274; x3 pure cycles 17842; doesn't move 3
S3: M2 Ri F2 R F2 M2 = UR > FR > FL; 14723; x3 pure cycles 12437; doesn't move 8
S4: M2 L F2 Li F2 M2 = UL > FL > FR; 14238; x3 pure cycles 13482; doesn't move 7

In practice you don't have to do all the M moves between sequences of these cycles. Just move the white bar either to the top or front, wherever it is needed.

Stringing these together in different combinations yields pure corner 3-cycles. After doing the first two, choose the third one by seeing what needs to happen to restore the edges.

S1, S2, S4 cycles corners 1 > 3 > 7
S1, S3, S2 cycles corners 1 > 2 > 7
S1, S4, S3 cycles corners 1 > 4 > 3
S2, S1, S3 cycles corners 2 > 4 > 8
S2, S3, S4 cycles corners 2 > 3 > 4
S2, S4, S1 cycles corners 1 > 8 > 2
S3, S1, S4 cycles corners 1 > 2 > 3
S3, S2, S1 cycles corners 1 > 8 > 7
S3, S4, S2 cycles corners 1 > 7 > 3
S4, S1, S2 cycles corners 2 > 7 > 8
S4, S2, S3 cycles corners 1 > 4 > 2
S4, S3, S1 cycles corners 2 > 8 > 4

When looking for the edge flipper I made a happy little discovery.

M2 F U F2 Ui F S3 S2 S3 S4 S1 S3 S2 Mi. Of course there are M moves between the sequences when necessary. What does this do? It flips UR and UF, and it twists corner 3 clockwise and corner 7 anti-clockwise. That means if you do the whole thing twice the flipped edges get unflipped and the corners get twisted again, so the net result is to twist 3 anti and 7 clock. Granted, it is a lot of work to twist a couple corners, and if the corners aren't at 3 and 7 it requires some crazy setup moves, but it worked. Perhaps someday I will look at Pendulum again and find a better way.

July 31, 2014
Burgo gave me some feedback on the forum, so I went ahead and looked at his solution method. He used a commutator to cycle corners home Domino style. That meant he had to orient the corners before permuting them. This inspired me to do some more experimenting in two areas. Orienting corners, and cycling corners. It led to a Pure 3-cycle for Edges that I will probably never use. I don't know. It might be useful during the orientation phase if I translate it into Orange Up Yellow Front twists. Here it is:

M (U2 R U2 Li U2 Ri U2 L) x 2 Mi cycles FL > UL > FR without scrambling corners.

M ((U2 R U2) Li (U2 Ri U2) L) x 3 Mi does a double swap of corners. 14 and 38.
M ((U2 Li U2) R (U2 L U2) Ri) x 3 Mi does a double swap of corners. 23 and 47.

Holding Yellow Up and Orange Front gives even more possibilities. 27 and 38, and 18 and 47. These numbers are from the point of view of Orange Up and Yellow Front.

As far as the orientation goes, the same technique that flips edges also twists corners. With M2 F U F2 Ui F, Corner 3 twists clockwise and moves to 7. Corner 7 twists anti and moves to 1. The edges adjacent to the corners are the ones that flip. The corner edge pairs swap during F2. Different combinations of F and U can result in different corner edge pairs being reoriented.

Of course, all of this orientation of corners is based on the fact that the moves for placing them do not change the orientation. How do I know if an edge or a corner is oriented correctly before it is placed? With Orange Up and Yellow Front, Blue and Green are on the left and right. The edges and corners without blue or green on the left or right need to be flipped or twisted.

The pure edge flipper and corner twister that I gave a couple days ago can be shortened to simply orientation sequences if you don't care that the pieces move around. I suppose the best case scenario is when two edges need flipped and two corners twisted and you can easily arrange them so that doing one F U F2 Ui F orients them all at once. If no edges need to flip and four corners need to twist, the following sequence will twist 1 and 7 anti and 3 and 4 clock.

((F U F2 Ui F)(Ri F2 R F2)) x 2

And doing it x 4 instead of x 2 twists only two corners: 2 anti and 4 clock.

I'm thinking that a good strategy of solution would be to solve the bandaged pieces first, then with Orange Up and Yellow Front proceed. Orient all the edges and corners. Permute the edges. Permute the corners.

If I were planning to solve this particular puzzle on a regular basis, I might want to master Burgo's method of permuting corners at least, if not also his way of orienting them. 

Saturday, July 26, 2014

Bandage Cube Kit—Bandaged Fortress

In October 2012 Burgo posted on the twistypuzzles.com Bandage Cube Kit thread: 
The Bandaged Loop above won't prove too much of a challenge to the experienced solvers. So I made a version in which I sought to block known sequences. It looks like a castle so I called it the Bandaged Fortress.
Block known sequences is right! It wasn't too hard to come up with some sequences which make for double swaps of edges, and a couple useful 3-cycles. And I noticed that the corners couldn't scramble at all. And it seemed that edge-flipping was not an issue either.

But I had trouble scrambling it. The only way I had to scramble it was to use the sequences for solving. That made for nice neat scrambles. I needed more. A trip to the twistypuzzles.com Bandage Kit thread revealed a very nice scrambling sequence that Andrea came up with back in November 2012.
I found a nice way to scramble the bandaged fortress :
Top face is white, front face is red
( the fortress looks like a table)
Turn the following sequence one or more time.
Replace the 'x' with 1 or 3.
e.G
Rx (replacee with => 1 = R)
Rx (replace with 3 => R3 = R' )
Now, the sequence :
L2 B U2 F2 Dx R2 D2 Rx F2 R2 Fx D2 F2 Dx R2 U2 Lx B2
each x can be replaced with different numbers.
Easiest case: replace all 'x' with 1
L2 B U2 F2 D R2 D2 R F2 R2 F D2 F2 D R2 U2 L B2
It scrambles the cube very much.
It's not recommended, trying to solve the fortress with this sequence !
Much fun with a good scrambled fortress.
Cheers,
Andrea
This opened a can of worms for me. My first scramble using this sequence flipped lots of edges! I decided not to look at Andrea's scrambler any more lest it give me any hints about how to flip edges. In setting out to develop an edge flipper I kept coming up with a sequence that totally scrambled the cube. I just could not think of any other way to flip edges. Finally I decided to solve the scrambled cube, and, lo and behold, when I got everything permuted, 4 edges were flipped. I tried several slight modifications, but always came out with 4 flipped edges.

What could I do? I used Andrea's scrambler to scramble the cube, then permuted all the edges. 4 needed flipped, so I used my edge flipper algorithm, taking by faith that it flipped the edges while remixing everything up. Then I solved it, and indeed, it worked! I tried her algorithm again only going through it twice before starting my solve. Same idea—permute everything, see what needs flipped, flip 4 edges, permute everything again. This time I had to use other algorithms to move the 4 edges into place before flipping them. It worked.

Then I took a good close look at Andrea's scrambler. It is identical to my edge flipper algorithm!

My Algorithms
AR01: (R2 F2) x 3 double swaps edges UF < > DF and UR < > DR
AR02: R2 F (DE)2 F2 D2 F2 (DE)2 F R2 double swaps UR < > DL and UF < > DF
AR03: AR02 followed by AR01 3-cycles DL > DR > UR

AL01: (L2 F2) x 3 double swaps edges UF < > DF and UL < > DL
AL02: L2 Fi (DE)2 F2 D2 F2 (DE)2 Fi L2 double swaps UL < > DR and UF < > DF
AL03: AL02 followed by AL01 3-cycles DR > DL > UL

AR04: R2 F (DE)2 F2 D (R2 D2) x 2 R2 Di F2 (DE)2 F R2 3-cycles FU > FD > FR
AR05: R2 Fi (DE)2 F2 D (R2 D2) x 2 R2 Di F2 (DE)2 Fi R2 3-cycles FU > FR > FD

AL04: L2 Fi (DE)2 F2 Di (L2 D2) x 2 L2 D F2 (DE)2 Fi L2 3-cycles FU > FD > FL
AL05: L2 F (DE)2 F2 Di (L2 D2) x 2 L2 D F2 (DE)2 F L2 3-cycles FU > FL > FD

AR06: R2 F (DE)2 F2 D R2 D2 Ri F2 R2 F D2 F2 D R2 (DE)2 Ri F2 flips UR DR DL and FR
AR07: R2 F (DE)2 F2 D (R2 D2) x 4 Ri F2 R2 F D2 F2 D R2 (DE)2 Ri F2 flips UR DR DL and DF

AL06: L2 Fi (DE)2 F2 Di L2 D2 L F2 L2 Fi D2 F2 Di L2 (DE)2 L F2 flips UL DL DR and FL
AL07: L2 Fi (DE)2 F2 Di (L2 D2) x 4 L F2 L2 Fi D2 F2 Di L2 (DE)2 L F2 flips UL DL DR and DF

Andrea's Scrambler (translated to my puzzle orientation)
R2 F (DE)2 F2 Dx R2 D2 Rx F2 R2 Fx D2 F2 Dx R2 (DE)2 Rx F2

I am reasonably sure I could solve this puzzle using my algorithms no matter who scrambled it,  but I'm not saying it would be easy. For example. On a solved cube I did Burgo's edge flipper. It was a pure double swap of edges that somehow flipped two of them. Nice. So with one double swap done I solved the cube and ended up with two flipped edges at DL and DB. This solve turned out to be slightly easier than the solves from totally scrambled, but still took some work. Now to flip just two edges what I need to do is flip 4 edges including only one of the two that need to flip. Then I'll flip the other one along with the same three. That should do it. It works, but oh my! What a lot of work to accomplish one double swap.

July 27, 2014
When I think of flipped edges, I think of, well, edges that are flipped! Like the blue yellow edge is flipped if when permuted the blue is on the yellow side. Simple. And in the Petrus Method I know how to tell good edges and bad edges and equate bad edges as being flipped, and know how to flip them. But when Burgo says that swapping two adjacent edges on U flips them even though the U color is still on U—huh?!? I think I've seen him explain this in a video once, but it was long ago, and I didn't have any reason to remember it. But today, upon reflecting on it, here is what I came up with, and it seems to work on the Fortress. After scrambling the puzzle using Andrea's scrambler, look at each edge. Imagine it being on an unbandaged cube and using twists of R, F, L, and B, mentally take it home. If it is flipped when it gets home, then it is flipped. Using this idea to flip the edges before solving the puzzle has made for some nice easy solves. Perhaps because my edge flipper algorithm is so similar to Andrea's scrambler algorithm. Maybe.

One more thing. Burgo's 2 edge flipper algorithm, when translated to my solving perspective, is very similar to my other algorithms.

Wednesday, July 23, 2014

Bandage Cube Kit—Bandaged YZ Family

I don't know why exactly, but I like this configuration a lot. It is just fun to play with. Maybe it is the three 2x2x1 blocks. Maybe it is because edges can be solved with EPS and corners permuted with Triple-EPS, and oriented with Sune/Mirror. Perhaps because although setups are needed to get around the bandaging, they are not overly complex. There is just something about the feel that is enjoyable.

 

After a couple solves I decided to share my enjoyment of this puzzle on the twistypuzzles.com thread. I noticed that Burgo listed the Bandaged YZ as a difficult puzzle. I couldn't believe it. So I checked the pictures and noticed that the three little tiles across the middle of the green side are supposed to be one long tile. Maybe I should graduate from my very simplified one to his Unbandaged one before attempting the terribly bandaged one!

Burgo's Unbandaged YZ (below) didn't seem difficult either, although he lists it as difficult. Perhaps I should have scrambled it and solved it several times to see if there were any hidden surprises. But the blue and white faces could be turned from the get-go so 3 of the 5 edges and 4 of the 5 corners that need to be solved are easy to handle. And turning the blue face 180° makes the orange yellow corner edge pair easily accessible. Furthermore doing blue' yellow' puts all little ones on top in such a way that all manner of EPS and Sunes can be done. I even had to swap two edges and it was no problem at all with my standard edge swapper algorithm—U' R U' R' ....

 

At first Burgo's Bandaged YZ (see below) seemed like it was going to be another relatively easy solve.

First Solve:
  1. Bandaged pieces—easy
  2. Edges—easy
  3. Permuting Corners—easy
  4. Orienting Corners—required coming up with an all new technique that I've never seen before which uses a combination of Edge Piece Series and a Corner 3-cycle.
Second solve:
  1. Bandaged pieces—easy
  2. Edges—easy
  3. Permuting Corners—not easy, but not difficult
  4. Orienting Corners—interesting
Orienting Corners—
  1. Need to twist 1, 2, 5, 7
  2. Did 1 with 3-cycle and 3-cycle' (2)
  3. Did 5 with 3-cycle and 3-cycle' (4)
  4. 3-cycle 2 to 3
  5. Double swap 3 to 1 and 7 to 2 (Triple-EPS)
  6. Twist 2 and 7 with 3-cycle and 3-cycle' (2)
  7. Noticed I now needed an n=1 3-cycle, so didn't have to undo steps 4 and 5. :D
Throughout the solve I hold green on the left and white up.

3-cycle: (RUi RiU) x n Ri RUiRi Di RURi D R (UiR URi) x n
  • n = 0 moves UFL > URF > RDF
  • n = 2 moves UFL > RFU > RDF
  • n = 4 moves UFL > FUR > RDF
  • n = 1 moves UFL > FRD > RUB
3-cycle': (RUi RiU) x n Ri Di RUiRi D RURi R (UiR URi) x n

The idea is that you can twist corner 1 by cycling it to 2 with n = 0, then cycle it back with n = 2 or 4 depending on how it needs to twist. Notice the UFLs and RDFs above? But the piece at 2 twists. That is the key. Same thing works for corner 3. Cycle 3 to 2, then back to 3 with the proper twist. 2 takes care of itself since you can't have just one twisted corner.

 

Monday, July 21, 2014

Bandage Cube Kit—Recap of Summer Solves So Far


Traffic Jam
6/23/14
So named on rline’s youtube video.
Bandaged 3
6/24/14
Had to get a hint from the forum. Get F2L then use LDL’ to put the vertical post on the bottom. 
2-bar
6/25/14
Had to get a couple hints from rline’s blog. Edges first. 3x3x2 CPS to solve corners. Bars on L and R.
3-slices
6/25/14
This one is the easiest one yet for me. Reminds me of the F2L part of the Petrus method.
Fuse
6/27/14
Right-handed Triple-EPS (RUR’U’) followed by left-handed (F’U’FU) 3-cycles corners on top (on U). 
Edge Road
6/27/14
Simple using the techniques described above.
Corner Road
6/29/14

Belt Road
6/30/14

Stalactites
7/1/14

Stalagmites and Stalactites
7/2/14

Unbandaged Big Block v1
7/2/14
Similar to all the rest of the Big Blockish types so far. i.e. get block then orient edges…
Unbandaged Big Block v2
7/2/14
Orienting edges was tricky but possible.
Unbandaged Big Block v3


Bandaged Clock Mars
7/4/14
Edges First
Bandaged Clock Saturn
7/4/14

3 Bar
7/4/14
Similar to 3x3x2
3 Bar Clock
7/5/14
Edges First; 3x3x2; 1x2 corners first; last 3-cycle tricky—needed setup.
Mr T
7/6/14
Swap of corner-edge pairs needed at end. Never did codify how to do it, but did it. 
Unbandaged Wall-i
7/7/14
Very easy
Wall-i
7/8/14
Got it down to needing to twist two corners but they are not in corners that can be twisted using the sune/mirror dune method. Finally got it! 3-cycle the corners into the correct positions, then twist them, then 3-cycle them back.
Detiled Corners Only Fuse-3
7/10/14
Could get close but not finish it, so finally sat down with a notebook and figured it out.
Fuse-3 minus 5 edges
7/11/14
Used the Corner 4-cycle to hide the edge. It worked.
Fuse-3 minus 4 edges
7/12/14
Worked out a fairly thorough solution and documented it on Puzzled 2.
Fuse-3
7/14/14
Worked out a fairly thorough solution and documented it on Puzzled 2.
Bandage Loop
7/15/14
Documented on old blog post.
Unbandaged Flying Carpets
7/15/14
I struggled to get the middle layer, but finally achieved it by trying to organize the 2x1 yellows somewhat. Then when I looked at the yellows all I needed to do was twist 3 corners to have a pattern that pleases me. I have "iii" on one side, and "iö" on the other side. (from PM to Burgo)
budlcuber 01
7/15/14
I made a puzzle and solved it. Then I extended it to budlcuber 02 and am totally baffled.
budlcuber 02
7/17/14
Documented on blog
budlcuber 03
7/18/14
Documented on blog
budlcuber 04
7/18/14
Fully tiled version of 01-03. Documented on the blog.
Big Block Clock
7/19/14
A couple solves. The first one fell together a bit easier, but the second wasn’t all that bad.
Unbandaged Big Block Clock v1
7/20/14
Scrambled, solved down to a tricky 4-cycle, gave up. Approached it from the “analyze what CAN be done” perspective and figured it out. Scrambled and solved.
Unbandaged Big Block Clock v2
7/20/14
This one solves like the others but looks sort of like budlcuber 04. Sort of.
Stonehenge
7/21/14
Very similar to Unbandaged Big Block Clock v2 but with a 2x1x1 column under the 2x2x1 roof.
Bandage 3+
7/22/14
When it was down to 2 corners needing twisted with the 2x2x1 on D and 1x1x1 at 3, RU’R’ F’U2F makes it so the Sune/Mirror twister works.