Archive for the Algorithms Category

Face-Turning Octahedron Algorithms

Posted in Algorithms, Blog, Cubing on October 18, 2014 by slateman

rex-octahedronI wasn’t too enamored with summer cube purchases but last night’s 2x4x6 victory was quite a memorable one. I went back to the face-turning octahedron today and tried Super Antonio Vivaldi’s tutorial. I conquered this one in the past but it wasn’t all too fun. Trying this again…I don’t know if it really is. The eight-faced beast challenges my brain…I guess that’s a good thing. Anyways, algorithms that I keep forgetting…

Step 1: Get all 6 corners
D, D, U, U (left or right)(two will rotate / one will not)

Step 2: Solve edges
Clockwise: R, U, R’, U, R, U, R’, U
Counterclockwise: R’, U’, R, U’, R’, U’, R, U’

Step 3: 3-Cycle centers
This moves the UR center to UL center to LL center (left face, left center)
Use the face with the 1 center and slice down. (a M’, I suppose)
Your LL center should now be in the UR center spot
R down, L down, R up
Move the slice back
R down, L up, R up

2x4x6 Cuboid – Kicking My Arse!

Posted in Algorithms, Blog, Cubing on October 17, 2014 by slateman

2x4x6Maybe I should just quit cubing entirely. My recent purchases are all giving me a hard time and I feel less and less capable of doing any of this any more! Today, I’ve gotten closer to solving the 2x4x6 cuboid. Closer. I haven’t done it yet. I say this because I purchased it in July. That’s three months ago. It’s stumped me for more than three months.

My woes may soon come to a close, though. I think I might be able finish this. The problem is I never feel like I have time to dedicate to it. I couldn’t even write this post without having a child of mine climb all over me.

However, I hope for success to be in my future. Using Super Antonio Vivaldi’s parity tutorial, I’m working through the last few stragglers. I’ll forego writing about the first steps for now and get into the last parity algorithms.

First, get the orange & red touching white & yellow edge pieces. Then get the middle-center edge pieces (for me, green & blue touching white & yellow). You may encounter parity here. Then get the outer center edge pieces using the same algorithms.

The inner centers are next. Inner 2×2 blocks are done just like doing the last centers on a higher-order standard cube. Line up the centers, down, right, down, left, up, right, up, left. Hope that still makes sense. Outer centers are last and can use the same parity algorithms, though that’s where I’m stuck as I write this. Here’s what you need to know.

Even Layered Parity (4 edge pieces swap)(Same as 3x4x5)
2U 2R 2F 2U 2u 2F 2R 2U

Brick Parity (3 edge pieces swap)(Right side)
2F U 2R U’ 2L U 2R U’ 2L
2F 2r 2F
2L U 2R U’ 2L U 2R U’
2F 2r

Brick Parity (Left Side)
2F U’ 2L U 2R U’ 2L U 2R
2F 2l 2F
2R U’ 2L U 2R U’ 2L U
2F 2l

This works for inner or outer centers. Here’s how these pieces move.

The left side brick parity would rotate 1 to 2, 2 to 3, 3 to 1 and our view of the back layer would be (as you flip & look at it):
3 – – –
– – – 1

The front layer would be
2 – – –
– – – –

Right would be opposite. Dunno if this helps.

Floppy Parity (2 Edges – Front-Left piece + Down-Back-left piece)
2R 2B 2U L 2U R’ 2U R 2U 2F R 2F L’ 2B 2R
(Then do 2l and Red Bull 2x more)

Edit: Solved It!!! Three months of frustration! Now…to put it on the shelf proper or to scramble again? Hmmm. :)

Rotate Centers Algorithms

Posted in Algorithms, Blog, Cubing on September 16, 2014 by slateman

moyu-crazy-yilengI’ve received my new cubes and one of them is a strange one. The MoYu Crazy Yileng Fisher Cube (long title!) is a cool 3×3 shape mod but it requires the flipping of centers. Since I generally dislike picture cubes, I never bothered to know these.

In working on this puzzle, I need to remember these. One isn’t bad. The other may take me a bit. Therefore: Algorithms! This is just for my future reference. Which I’ll need.

180º (place on top)
R U R’ U (x5) or
(R U R’ U’) (R’ F) (R2 U’) (R’ U’ R U) (R’ F’)

90º (place on top & right)
[(R U’ R U) (R U) (R U’) (R’ U’ R2)] X 3

Crazy 3x3x2 Get + Algs

Posted in Algorithms, Blog, Cubing on March 22, 2014 by slateman

crazy3x3x2I think I like this puzzle. The standard 3x3x2 is just a quick solve, not one I dedicate much time or effort to. However this is a different take on things and perhaps I’ll extend my collection into the bigger crazy cubes. I’d like a basic Crazy 3x3x3. In any event, for now, I wanted to write up some notes. Here is my solve method and my latch piece is red/green/yellow. That’ll lock the center circle in place.

  1. Solve inner cross
  2. Solve inner corners (on Right) (R2/U2/R2/U2)
  3. Find ‘latch’ corner – keep on bottom (left)
  4. Solve bottom outer edges (keep latch out of the way)
  5. Solve bottom corners (use a dummy piece)
  6. Adjacent corner swap (latch on back-left)(headlights in front)
    • Turn 180 degrees and move headlights to the right side)
    • Reverse (2L/U’/2L/U/2L – rotate clockwise – 2L/U/2L/U’/2L)
  7. Last-layer edge swaps (keep latch out of the way)

Siamese Mirror Blocks Algorithms

Posted in Algorithms, Blog, Cubing on March 8, 2014 by slateman

siamese-mirror-blocksI got this one a few months back and was entirely stumped. It’s only the second cube to leave me without a solution completely. (The other is WitEden’s Camouflage 3x3x4 – and I think I broke that one!) Anyways, thanks to MartyWolfman’s marvelous tutorial; I can now solve it! I love cubing but I’m not the most brilliant at coming up with my own algorithms and solutions. For this one, he used a lot of beginner’s method algorithms: something I’d forgotten entirely! For purposes of going back to this puzzle, here are some algorithms and methods of solving. I might need this entry someday!

Inserting Middle Layer

Right + Back
R / U / R / U / R / U’ / R’ / U’ / R’

Right + Front
R’ / U’ / R’ / U’ / R’ / U / R / U / R

Last-Layer Situations

  • If Dot (Algorithm 2x)
  • If L (Place L in F & R)
  • If Bar (Place on L & R)

Turn top 2 layers to the R face = Y
Y’ / R / Y / R / U / R’ / U’ / Y’ / R’ / Y

Then fix BR bottom corner
R’ / U2 / R (to orient)
R’ / U’ / R

Then re-fix middle layer

Orient Last Layer

One top piece last layer facing you on left
R / U / R’ / U / R / U2 / R’

Put proper piece on BR
R / U2 / R’ / U’ / R / U’ / R’

Final Layer Edge-Piece 3-Cycle (correct piece in back)
R / U’ / R / U / R / U / R / U’ / R’ / U’/ R2

4×4 Edge Parity Algorithm

Posted in Algorithms, Blog, Cubing on February 21, 2014 by slateman

4x4I hate this algorithm and I always forget it. Having just purchased a 4x4x6 cuboid, I found the first time I got close to solving it, I ran into this familiar parity. So…for the purposes of ease (i.e. I can look it up on my site whenever!) here’s the algorithm!!!

r2, B2, U2, l, U2, r’, U2, r, U2, F2, r, F2, l’, B2, r2

3x4x5 Get! Solved…Finally!

Posted in Algorithms, Best / Worst, Blog, Cubing on April 28, 2013 by slateman

3x4x5 CuboidI received my Tom Z’s 3x4x5 Cuboid last Monday and took the time to tension, lubricate and sticker it. Later that night it exploded, with several internal pieces coming out. Since i didn’t know how to fix that, I took the whole thing apart and 90 minutes later it was in usable form. There is one inner-layer piece that will bandage one layer if placed improperly. Ah, what a nightmare.

In any event, after getting it done, I mixed it up again and started to solve it. However, I messed up on one of the layers which caused parity and I was stuck. Fortunately, solving this was a lot like a 3x3x2 and a 3x3x5 (or 7) and getting it back to cuboid state while avoiding massive parity was not difficult. Once I figured that out, I was able to solve the rest with just that one parity algorithm (modified for even/odd configurations). On Thursday, I solved it!!! No cube has ever stumped me for a full week before. Now that I’ve done it, I still get caught on some situations, but it’s not altogether too difficult once you grasp it all. Solving this was pretty cool. I’ll post that one algorithm in case I ever forget it!

All in all, it’s a very cool puzzle. I’d like to get the 4x4x6 as well. Not an every-day solve, but definitely impressive and fun to work through!

Even Parity
Uu2 R2 F2 Uu2 U2 F2 R2 Uu2

Odd Parity
Uu2 R2 F2 Uu2 F2 R2 Uu2

Mega/Gigaminx Algorithms

Posted in Algorithms, Blog, Cubing with tags , on April 20, 2013 by slateman

megaminxI find both the Megaminx and Gigaminx to be fun puzzles to solve but I always get stuck on the last layer. The last two steps get me every time. Then, I take a little break from the puzzles and forget the algorithms again the next time! In fact, my Gigaminx has sat unsolved (last-layer corner orientation and permutation) for well over a week. The puzzle is quite impressive when solved. With the last layers unsolved…not so much. SO, let’s do it!

Last-Layer Orientation: Clockwise (Turn cube so top is L)
R’ U’ R U

Last-Layer: Counter-Clockwise
U’ R’ U R

(Tip: Prime/Regular – If Counter, U first)

Last-Layer Permutation
R’ D R…R’ D’ R

Not so bad! These are all from LanceTheBlueKnight’s Megaminx Tutorial. :D

3x3x5 Step-By-Step

Posted in Algorithms, Cubing with tags on December 1, 2012 by slateman

The 3x3x5 is definitely an interesting cube. I want to solve it like a standard 3x3x3 but there’s definitely more to it. I’ve used stevenarducci’s guides (#2 and #3) as they are quite helpful. Using his beginner method, I figured I’d break it down so it’s easier to follow…at least until I memorize it! There are only a few new algorithms. So, let’s see. Here are the steps and algorithms.

  • Solve mid-level ‘cross’
  • Solve 3x3x3 Grid
  • Slot Corners – use opposite
    • R2 U R2 U’ R2
  • Solve Top-Mid layer Corners
    • Headlights on left – R2 U R2 U’ R2 (U’ D) R2 U’ R2 U R2
  • Top-Mid Edge Adjacent Swap
    • R2 U R2 U / R2 U2 R2 U2 / R2 U R2 U’ R2
  • Top-Mid Edge Opposite Swap
    • R2 U2 R2 U2 R2
  • Parity
    • Pieces on L & R – Uu2 R2 F2 (Uu2 U2) F2 R2 Uu2 F2
  • Solve top-mid-level ‘cross’
  • Top Slot Corners
  • Top Corners
  • Top Edges

Curvy Copter Jumbling Algorithms

Posted in Algorithms, Blog, Cubing on November 5, 2012 by slateman

I solved the Curvy Copter with jumbling today and it just about destroyed my brain. I was so confused. I was swapping pieces everywhere. It was a mess. But, I finished. And I guess I’ll go down that path again sometime soon. When I do, I’d like to have some idea of what to do and where to go. Here are the jumbling algorithms from RedKB’s tutorial. Let’s see if these make any sense when I look back upon them!

Flip LL Middle Edges

Swap FL & RB (Change Top Back triangles)

Top Front Right triangle & RB triangle (top back triangles-same color)
R L JR F R L // F R F R (to cycle 3 triangles (FL/TFR/RB)

Top Left & Front Left triangles
L R J(up-right / back-left) (B?) R L

Thanks to qqwref for the last alg!