7x7 parity algorithms pdf

The OSD algorithm is performed by deciding the reliability of each bit based on a posteriori probability. In this paper we propose two decoding algorithms based on two types of oscillations of LLR for LDPC codes. One is the oscillation-based OSD algorithm with deciding the reliability of each bit based on oscillation.

7x7 parity algorithms pdf. A new reduced-complexity decoding algorithm for low-density parity-check codes that operates entirely in the log-likelihood domain is presented. The computationally expensive check-node updates of ...

Oct 26, 2022 · Hold the cube so that the two centers you want to swap is in the top and front layers "U" and "F". Put the two centers that you want to swap in the same column by rotating the top "U" and front "F" layers. We recommend putting it to the right side of the cube. Move the column with the swapped centers up once. Move the top layer anti-clockwise (U')

Start studying 7x7 parity. Learn vocabulary, terms, and more with flashcards, games, and other study tools.Easiest Way to Solve 6x6 Edge Parity. Ugly colors. Need color correction (DaVinci Resolve can do it for free), the hands especially are really creepy. I learned a much easier way. Basically every right move is accompanied by a top turn. And every left move is accompanied by a face turn. It worked really well for me.kromagnon. • 12 yr. ago. You don't actually have to know any extra algs to solve the 7x7x7 if you can already solve the 5x5x5. There are only 2 algs I use for solving the last edges on big cubes, the "flip" alg and the parity alg. Flip alg: Dd R U R' F R' F' R Dd'. ( Replace Dd and Dd' with whichever layer needs to be "flipped")One easy way to fix the centres is this: Hold the cube so that one of the swapped edges is along the UF edge. Let's call the inner slice containing that edge the r slice. Do the move sequence r U2 r U2 r U2 r U2 r. This returns the centres but still does an odd permutation on the edge pieces. You now still have to fix the edges with commutators ... Overall, I found the 7X7 to be roughly the same as the 5X5. The parody is solved the same, except that you sometimes need to turn more parts than in a 5X5. But if you understand the 5X5 it shouldn’t be too difficult to figure it out. Oddly, the most difficult part of solving the 7X7 for me was doing the centres. We would like to show you a description here but the site won’t allow us.Solving The Last Four Centers The next step is to solve the remaining four centers around our middle slice. However, this is slightly more difficult than with the basic reduction method, because we have an added restriction – we can’tRubik's Cube theory. The parity of a permutation refers to whether that permutation is even or odd. An even permutation is one that can be represented by an even number of swaps while an odd permutation is one that can be represented by an odd number of swaps. When considering the permutation of all edges and corners together, the overall ...

The second parity you may encounter is PLL parity, which occurs when we have an odd number of edge pair/corner swaps during PLL. This means you will have a PLL case which isn't possible on a standard 3x3 cube. To fix PLL parity, we use the following algorithm which swaps the front and back edge pairs. r2 U2 r2 Uw2 r2 Uw2 (U2)5x5, 7x7 Final edge parity. l' U2 l' U2 F2 l' F2 r U2 r' U2 l2. 5x5, 7x7 Swap edge pieces right side. Mup U Mdown U' x5. 3x3 centres F clockwise, U counterclockwise. M up U' M Down U x5. 3x3 centres F counterclockwise, U clockwise.OLL Parity Tricks. Sometimes when you get OLL parity, you can set up into an OLL skip. ... As a general guideline, it's better to do OLL parity + OLL algorithm rather than an OLL skip trick, if they take about the same amount of time. This is because recognizing OLL parity can be done during the last F2L slot, leading straight into OLL parity ...A genetic-algorithm based decoder for low density parity check codes. The performance of the proposed decoder is very close to that of the optimal sum-product decoder, with the additional benefit of not requiring channel information (signal-to-noise ratio), and the fitness function and parameters of the GA can be optimized. Expand.SQ1 Parity. SQ1. Latest Reviews 3x3. Moyu Super Weilong. A great gift if you don't know much about cubing... or if you know enough about it. Basilio Noris - December 18th, 2023. 3x3. Moyu RS3M v5. ... Algorithms Learnt and Personal Algorithm Sheets. Sign In with WCA Login; SpeedCubeDB.

Most Algorithms by BigCubes.com Pictures by Josef Jelinek ... Parity r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 l' U2 l' U2 F2 ... 5x5 L2E Algorithms (Last Two Edges) A: B = A B A'; [Flip 1] = U' R' U R' F R F'; [Flip 2] = (R U R' F) (R' F' R). Learn all the no-Eparity cases and the first two Eparity cases first. No Eparity r': [Flip 1] z' y' u': [Flip 2] 3l [Flip 1] r' z' y' 3d [Flip 2] u' (r2' F2 U2') (r2' U2' F2) r2 (U R U' B) (r2' F2 U2') ... And on the back of each flash card are the. Notations needed using (colors) Then a phrase or short clue to give info to help remember the algorithm. #1 is blue X 2 for U 2 (blue R' F R F' times 2) + 2 - U's. On a cube that is solved : # 2 = # 2. # 5 = 8. Parity is the few odd cases that you see on big cubes that are different than what you see on 3x3. There are 3 types of parities (OLL-edge flip, PLL-edge swa...Learn how to finish solving a 7x7 Rubik's Cube by continuing on how to pair the last edges and how to solve edge parity. 00:00 Intro00:32 Last Edge Pairing02...

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Solving The Last Four Centers The next step is to solve the remaining four centers around our middle slice. However, this is slightly more difficult than with the basic reduction method, because we have an added restriction – we can’tApply the inverse rotations of the backward algorithm to revert the cube to the solved cube (or the initial position). Let's take a short algorithm for the demonstration, the Cross: U F B' L2 U2 L2 F' B U2 L2 U. Written backwards: U L2 U2 B F' L2 U2 L2 B' F U. Replace the moves with the inverse rotations: U' L2 U2 B' F L2 U2 L2 B F ...The OSD algorithm is performed by deciding the reliability of each bit based on a posteriori probability. In this paper we propose two decoding algorithms based on two types of oscillations of LLR for LDPC codes. One is the oscillation-based OSD algorithm with deciding the reliability of each bit based on oscillation.PLL Parity is when you have 2 pieces swapped in a way that is impossible on a 3x3, and happens on 50% of solves. This could be 2 corners or 2 edges. To fix this, do the PLL Parity Algorithm once: 2R2 U2 2R2 Uw2 2R2 Uw2 2R (big cube notation) means to turn the 2nd layer from the right side. 2R2 means to turn that layer twice. We would like to show you a description here but the site won’t allow us. 4x4 PLL Parity Algorithms. When you are solving a 4x4, PLL parity can significantly slow down a solve. Luckily, there are some tricks you can use to minimize the damage without learning too mamny new algorithms. Some algorithms in this set are similar to PLL algorithms you already know, except there is a parity algorithm mixed in.

Posted by u/red_lantern - 2 votes and 3 comments Parity is the few odd cases that you see on big cubes that are different than what you see on 3x3. There are 3 types of parities (OLL-edge flip, PLL-edge swa... Add one extra bit to a 7-bit code such that the number of 1's in the resulting 8 bits is even (for even parity, and odd for odd parity) Add a parity byte for the packet. Example: five 7-bit character packet, even parity. 0110100. 1. 1011010. 0010110. 1110101.PDF (980 KB) Reference. Tinoosh Mohsenin, "Algorithms and Architectures for Efficient Low Density Parity Check (LDPC) Decoder Hardware" Technical Report ECE-CE-2010-4, Computer Engineering Research Laboratory, ECE Department, University of California, Davis, 2010. BibTeX entryAdjust the top layers and the tips. Solve the actual centres. Solve the top three edges. Solve the bottom six edges. Solve the last middle three edges. The notation for the Master Pyraminx will be done in a similar way to the notation for a regular Pyraminx, except with an extra layer.1. 2. An ' apostrophe means you have to rotate a face counterclockwise 90 degrees. The 2 superscript means you have to rotate the face twice (180 degrees). No apostrophe or superscript means you have to rotate a face clockwise 90 degrees. 3. 4. • 2F ' = rotate 2 front face layers counterclockwise. • 3L 2 = rotate the 3rd left face 180 degrees.YouTube. Visit Channel. Yes indeed there are four unsolved edges. The top and bottom ones can be solved simply, the algorithm can be found at good old trusty bigcubes.com. You want the "double wing swaps" on the left. For the pairs on the left and right the inner wings are solved the same way.The existence of polynomial time algorithms for the so-lution of parity games is a major open problem. The fastest known algorithms for the problem are random-ized algorithms that run in subexponential time. These algorithms are all ultimately based on the randomized subexponential simplex algorithms of Kalai and of Ma-touˇsek, Sharir and Welzl.BP algorithm is an iterative soft decision decoding algorithm [Gallager-IRE62, MacKay-IT99] . Each bit/check node is a processor, receiving messages from neighbor nodes, and sending back messages after processing. Messages can be probabilities, and more conveniently, log-likelihood ratios (LLR's) for binary LDPC codes.Decoding Low-Density Parity Check Codes with Normalized APP-Based Algorithm. Jinghu Chen and Marc P .C. Fossorier. Department of Electrical Engineering, University of Haw aii, Honolulu, HI 96822 ...The existence of polynomial time algorithms for the so-lution of parity games is a major open problem. The fastest known algorithms for the problem are random-ized algorithms that run in subexponential time. These algorithms are all ultimately based on the randomized subexponential simplex algorithms of Kalai and of Ma-touˇsek, Sharir and Welzl.7x7 cube OLL parity algorithm (1) TikTok. 7x7 cube OLL parity algorithm (1) TikTok. 4.1 (89) · USD 9.43 · In stock. Description. Model available for download in Autodesk 3ds Max Visit CGTrader and browse more than million 3D models, including 3D print and real-time.

Subscribed. 1.8K. 130K views 2 years ago Parity Tutorials. Here is an easy algorithm to solve edge parity as well as techniques on how to memorize it. NOTE: The white side I talk about in...

Last 2 Edges. Printable Version. These are all of the cases solving the last two edges of a 5x5x5 using a reduction method. The algorithms are mostly from bigcubes.com and Meep's site . The algorithms are in WCA Notation . Hold it so that the two unsolved edges are at UF and UB. Speedcuber Sarah Strong's collection of Rubik's Cube algorithms.This shows how to fix false parity on off cubes if you have had the centre caps off and are left with a 2 edge or 2 corner parity issue. This is not for the...4x4 OLL Parity Algorithms. 4x4 parity occurs on the last layer of a 4x4, where you get a case that is impossible to get on a 3x3 so you need a specific algorithm to solve it. OLL parity specifically occurs because two adjacent edge pieces are flipped, but generally you can't recognize it until you are at the OLL stage of solving.Most Algorithms by BigCubes.com Pictures by Josef Jelinek ... Parity r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 l' U2 l' U2 F2 ...Several decoding algorithms based on oscillation Log-likelihood ratio (LLR) for Low-density parity-check (LDPC) codes are investigated in this paper, based on which, an improved decoding algorithm ...I'll teach you how to solve edge parity on a 7x7 in this video!! Enjoy!!3. Solving the Edges. 1 Use a basic strategy for solving the edges. Most of the edges can be solved using a simple strategy. Locate matching wings on the cube and situate them on opposite edges. After, simply connect them and then substitute the entire edge with a scrambled edge.We would like to show you a description here but the site won’t allow us.

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The the parity of a length n cycle is given by the number 2 cycles it is composed of. If n is even, an odd number of 2-cycles is required, and the permutation is odd, and vise versa. So odd permutations end up exchanging an odd number of cubies, and even ones an even number. Now we will prove an important fact about cube parity that will help usOLL Parity Algorithm 1: This algorithm is the easiest to execute. It flips the two edge pieces as well as the corners. It also moves other edge pieces in the top layer. If your focus is speedsolving the 4x4 then this is the recommended algorithm. This should be done before you permutate the corners and edges of the last layer.(This will also reset all info on the page, such as algorithms, times, etc.) Trash. Hide the cases you do not plan to learn. Click on an image to add it to the trash. Use the Shift key to select multiple cases. Settings; Show triggers (brackets) Move Learning cases up; Move Finished cases downw = 1/σ1 1/σ1 + 1/σ2 = 1- σ1 σ1 +σ2. which is the same formula used by Hierarchical Risk Parity. The weights of stocks in the left and right subclusters are then updated respectively, W1 = α1 ∗ W1. W2 = α2 ∗ W2. We recursively execute steps 2-5 on and until all the weights are assigned to the stocks.7x7x7 V-Cube. This puzzle is a cube which is built from smaller cubes, 7 to an edge, i.e. a 7×7×7 cube. Like a Rubik's Cube each slice can rotate, which rearranges the small cubes on the surface of the puzzle. The six sides of the cube are coloured, so every corner piece shows three colours, every edge piece shows 2 colours, and every face ...Several decoding algorithms based on oscillation Log-likelihood ratio (LLR) for Low-density parity-check (LDPC) codes are investigated in this paper, based on which, an improved decoding algorithm ...for parity games with m edges, c colors, and n game positions. The upper com-plexity bound for solving parity games was first reduced by Browne et al. [16] to O mn⌈0.5c⌉+1, and slightly further by Jurdzin´ski [19] to O cm(n ⌊0.5c⌋) ⌊0.5c⌋. The weakness of recursive algorithms that follow the iterated fixed pointLearn how to efficiently solve two edge parities at the same in a 7x7 Rubik’s Cube0:00 Intro0:56 Case 12:23 Case 23:30 Case 34:38 Case 46:02 Case 57:15 Case ...How To Solve a MEGAMINX Beginners Guide PDF DOWNLOAD. SPEEDCUBE.COM.AU. The instructions explains how to solve the Megaminx Layer by Layer with the same method as our published 3x3 instructions. It is highly recommended that you know how to solve a 3x3 before learning the Megaminx. ….

We would like to show you a description here but the site won’t allow us. Jul 24, 2021 · Here is an easy algorithm to solve edge parity as well as techniques on how to memorize it. NOTE: The white side I talk about in 2:12 4:09 5:23 depends on where you do the algorithm. It’s not... 3. Reply. Share. helpimapenguin. • 4 yr. ago. Step 1, whack yourself over the head for solving the rest of the cube before fixing this. Step 2, move those edges around so that they are opposite one another, for example turn the white side anticlockwise, then turn the orange side anticlockwise.Alternative algorithms here OLL Case Name It is recommended to learn the algorithms in the - Probability = 1/x Round brackets are used to segment algorithms to assist memorisation and group move triggers. order presented. Squares (r' U2' R U R' U r) S1 - 5 - Probability = 1/545. Parity Measures. 5.1. Introduction. We will now look specifically at preliminary notions of fairness applied to decision making systems powered by a supervised classifier. We begin with observational criteria: measurement of what exists and is observable. Observational criteria, like identifying differences the distribution of salaries ...Edge Parity on a 5x5 occurs when you pair the last edges and one edge doesn't match. This is because the two "wings" need to be swapped. Perform this algorithm with the flipped edge piece in the front top position. Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 3Rw' U2 Rw U2 Rw' U2 Rw'. The solution above can be used for 4x4 up to …Our interpretation is similar in spirit to the one used in [13], but applicable to all parity games, and uses a concept known from the realm of strategy improvement algorithms -a value (or profile ...Some useful algorithms/approaches for solving OLL + parity and PLL + parity on even-layered cubes. These algorithms are a very small selection of all possible cases to introduce intermediate cubers to tackling OLL and PLL + parity in one step. The cases here are essentially either easy to recognise, memorise, or execute, and in all cases, will be faster than the default solution of parity ...For the last pair of middle edges, 3 algorithms is generally enough. One is the same as for the 4x4 last pair of middle edges. Two is a flipping algorithm, for swapping an upper left square with a lower right square. Three is the buck teeth parity algorithm that involves rotating the cube upwards soon after you start. 7x7 parity algorithms pdf, F2L Algorithms (Different slot positions) Advanced Useful F2L Algorithms. 3x3 One Handed Videos. Beginner Introduction to One Handed Speedcubing. Intermediate ... PLL + Parity Cases. Intermediate Last 2 Centers Algorithms [5x5] Advanced Last 2 Edges Algorithms [5x5] Competing. Intermediate Competition Advice. Livestreams. Beginner, No, you cannot. For some cases, you must use parity-esque algorithms, but there's no true parity for odd-layer puzzles. For cube sizes 4 and up, even numbered cubes share the same parity algorithms, and odd numbered cubes share the same parity algorithms. The bigger size you go, the more possibility of parity occurs when solving edges., We've created Print Friendly PDF files that you can use whilst you are learning CFOP. Separate F2L, OLL and PLL printable pdf download sheets. This is a PDF Download. Download link available after checkout is complete., Reduction, also known as Redux, is the current dominant group of methods for big cubes speedsolving, and the dominant method for 5x5x5+ that solves centers and matches edges to "reduce" the puzzle to a 3x3x3.. Almost every speedcuber uses the reduction method for 5x5 and bigger cubes. Reduction was formerly the dominantly used method for 4x4 as well, however the Yau method has recently taken over., We've created Print Friendly PDF files that you can use whilst you are learning CFOP. Separate F2L, OLL and PLL printable pdf download sheets. This is a PDF Download. Download link available after checkout is complete., The second parity you may encounter is PLL parity, which occurs when we have an odd number of edge pair/corner swaps during PLL. This means you will have a PLL case which isn’t possible on a standard 3x3 cube. To fix PLL parity, we use the following algorithm which swaps the front and back edge pairs. r2 U2 r2 Uw2 r2 Uw2 (U2), Start with any pair of edge pieces (we take red/blue edges as example below). Take the right side edge slots (marked in grey below) as working slots. Use algorithm 3 to line up the edge pieces. Flip the cube when the 4 edges on the top side are all paired up. Repeat step 1 for the unsolved edges (now flipped to top side) until the remaining 4 ..., #7x7Lasttwoedge #7x7lasttwoedgeparity #7x7last2edgesEasy way how to pair 7x7 last two edges. 7x7 last two edge solve. 7x7 last two edge solution. 7x7 last tw..., 493 algorithms Impossible to recognize which one to use Why do people do this to themselves ... (edge parity) Solving Rubik's Cubes Isn't That Hard, But People Are Really Good At It ... Records for other sizes: 2x2: 0.49 4x4: 17.42 5x5: 36.06 6x6: 1:13.82 7x7: 1:40.89...most of the time . Solving Rubik's Cubes Isn't That Hard, But People Are ..., TLDR. Two decoding algorithms based on two types of oscillations of LLR for LDPC codes are proposed, one is the oscillation-based OSD algorithm with deciding the reliability of each bit based on oscillation and the other is the amplitude-based LLR-BP decoding algorithm that modifies ex-LLR based onscillation. Expand. View via Publisher. doi.org., 7x7x7 V-Cube. This puzzle is a cube which is built from smaller cubes, 7 to an edge, i.e. a 7×7×7 cube. Like a Rubik's Cube each slice can rotate, which rearranges the small cubes on the surface of the puzzle. The six sides of the cube are coloured, so every corner piece shows three colours, every edge piece shows 2 colours, and every face ..., (This will also reset all info on the page, such as algorithms, times, etc.) Trash. Hide the cases you do not plan to learn. Click on an image to add it to the trash. Use the Shift key to select multiple cases. Settings; Show triggers (brackets) Move Learning cases up; Move Finished cases down, Hold the cube so that the two centers you want to swap is in the top and front layers "U" and "F". Put the two centers that you want to swap in the same column by rotating the top "U" and front "F" layers. We recommend putting it to the right side of the cube. Move the column with the swapped centers up once. Move the top layer anti-clockwise (U'), The Rubik's Cube is perhaps the world's most famous and iconic puzzle, well-known to have a rich underlying mathematical structure (group theory). In this paper, we show that the Rubik's ..., via Muk. The beginner's method roughly looks like this: via Muk. Start by solving the central cross of your "white side". You have to remember that the centrepieces are the ones that are ..., Useful Last 2 Edges Algorithms [4x4] Advanced. The algorithms in this module are used for solving Last 2 Edges [L2E] cases on the 4x4 cube. Download Tutorial PDF. Back to Other Algorithms 0 % COMPLETE 0 LESSONS., Parity games [11, 31] are abstract infinite-duration games that represent a powerful mathematical framework to address fundamental questions in computer science.They are intimately related to other infinite-round games, such as mean and discounted payoff, stochastic, and multi-agent games [3, 4, 6, 7].. In the basic setting, parity games are two-player, turn-based, played on directed graphs ..., 6,687. WCA. 2007KELL02. SS Competition Results. I'm curious how you all are solving the last 2 edge groups on the 7x7. I often find myself in situations where I can't figure out an efficient way to solve it, so I end up using a solve edge group to solve the remaining 2 edge groups., 1. 2. An ' apostrophe means you have to rotate a face counterclockwise 90 degrees. The 2 superscript means you have to rotate the face twice (180 degrees). No apostrophe or superscript means you have to rotate a face clockwise 90 degrees. 3. 4. • 2F ' = rotate 2 front face layers counterclockwise. • 3L 2 = rotate the 3rd left face 180 degrees., Solving Angle: Place the matching sides of the target edge as F, R, white side as dR. Steps: Match the target edge with the center piece on the side with the same colour. Then choose the appropriate Algorithm for the case to solve it. Repeat steel until all edges of the 5 lower sides are solved. Case4., The Square One puzzle is a challenging and fascinating Rubik's Cube variant that requires a deep understanding of various algorithms to solve. One crucial step in the solving process is the Edge Permutation (EP) stage. In this guide, we will dive into the intricacies of Edge Permutation and learn the essential algorithms required to master this ..., Learn how to efficiently solve two edge parities at the same in a 7x7 Rubik’s Cube0:00 Intro0:56 Case 12:23 Case 23:30 Case 34:38 Case 46:02 Case 57:15 Case ..., Hold the cube so that the two edges to solve are at Front and Back of the Up layer. Edge Swap. (Lw' U2 Lw') U2 F2 Lw' F2 Rw U2 (Rw' U2 Lw2) Collection of 5x5x5 Reduction algorithms. Digital cheat sheet tutorial on how to solve 5x5x5 Rubik's cube. Solution for 5x5 magic cube and speed cube twisty puzzle. Best free website and app for desktop ..., Hold the cube so that the two centers you want to swap is in the top and front layers "U" and "F". Put the two centers that you want to swap in the same column by rotating the top "U" and front "F" layers. We recommend putting it to the right side of the cube. Move the column with the swapped centers up once. Move the top layer anti-clockwise (U'), Download full-text PDF. Read full-text. ... 7x7 . 1 . 0.6939 . 24.9796 . 3.1694 . 1.2429 ... This paper introduces a new color image encryption algorithm based on a hyperchaotic six-dimensional ..., Some useful algorithms/approaches for solving all PLL + Parity cases on even-layered cubes. Note that in some of the cases, an AUF (Adjustment of U Face) will be required between the PLL Parity Algorithm and a PLL algorithm., J Perm is a website that offers speedcubing tutorials for beginners and advanced solvers of the Rubik's Cube. Learn the CFOP method, the move notation, the PLL and OLL algorithms, and more. J Perm will help you achieve your cubing goals and have fun along the way., The Megaminx. The Megaminx, previously called as Hungarian Supernova was patented by Uwe Mèffert.It is a dodecahedron-shaped face-turning twisty puzzle which is very similar to the classic Rubik's Cube.The solution is almost the same, just a few new algorithms come in when you reach the last layer, so if you're familiar with the classic 3x3x3 Cube then you won't have problems solving the ..., OLL is the 3rd step of the CFOP, and the "busiest" in respect of the amount of algorithms required to complete it. There are 57 different OLL variations, therefore needed 57 different algorithms to learn in order to complete the OLL step in just 1 algorithm. It is best to start with 2 look OLL and navigate your way around the full OLL ( Learn 2 ..., Easiest Way to Solve 6x6 Edge Parity. Ugly colors. Need color correction (DaVinci Resolve can do it for free), the hands especially are really creepy. I learned a much easier way. Basically every right move is accompanied …, 5x5 Last Two Edge Algorithms. These are last two edges cases on a 5x5 cube. I highly recommend learning them because not only can they be used on 5x5 they can be used on bigger cubes and cuboids making them very useful to learn. This is a case you more than likely already know but I felt it only made sense to include it anyways., Title: Rubik's Cube 3x3 Solution Guide Author: Seven Towns Ltd Created Date: 10/4/2010 5:13:46 PM, a common terminology used by cube solver, I will call sequences of moves "algorithms" although they are not technically so. Every time I mention a symmetric algorithm I mean basically two things. For algorithms permut-ing three pieces, the symmetric algorithm is the one that permutes the pieces in the other way round (e.g. clockwise ...