An ALGORITHM is a sequence of moves that you need to do in a specific order. The remaining PLL parity cases which involve the fewest number of pieces besides the most popular case above are the following. you can encounter during the 3x3 stage on a 4x4 which aren’t possible on a 3x3. Solve white centers 2. Algorithms for the Cage Methodas well as algorithms for theoretical purposes and general 4x4x4 exploration are present as well. Solution for 5x5 magic cube and speed cube twisty puzzle. Solutions listed under a case image which are not move optimal in the move metric in which algorithms are sorted by:. 5x5 - Last 2 Centers. Help. Parity errors are some special cases where we a have to learn a few algorithms to solve further. Parity check •An error-checking technique that sets an extra bit (called a parity bit) to a string of binary data being transmitted between two devices Data Parity bit Two types of parity check •Even parity (Total number of 1’s is an even number) •Odd parity (Total number of 1’s is an odd number). ��-�{�}�%p�-�%R��W����#���u���?u���r��;O��H�O1V�����TumgB��Aqі5FZ�r�Զ���W�y�t��V�*>���c�f�oQ��ڵA�������i���È.�m�ͺ[��+, e�ׅZ�U��Q{уk�ͭK���x2O��� �~�_��� ����(����1�� It is important to note that these parities can ONLY occur on even layered cubes (4x4, 6x6 etc.) Learn how to solve a 3x3 cube first In order to solve the 4x4 cube you will need to know how to solve a 3x3 Rubik's cube first. << /Length 5 0 R /Filter /FlateDecode >> Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' On January 24,speedsolving. 5x5: Meep's website: Meep has a FANTASTIC website for all the L2E and L2C cases for 5x5. Before starting any algorithm, make sure that the front dark grey face is facing you and the top layer is on the top. Rotate so white centers are on L face 3. 2 pages. and never on odd layered cubes (3x3, 5x5 etc.). These cookies will be stored in your browser only with your consent. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are as essential for the working of basic functionalities of the website. They also happen to be supercube safe. View more. Solve 2x1 blocks in Lw slice as seen below Study on the go. Nathan Dwyer's 4x4 parity: These are cases that combined with the OLL parity alg will skip the OLL case. Algorithms for one such parity case already mentioned are included on this page. 4x4 OLL Parity Algorithms . OLL Parity On the 4x4 there is only one OLL case which is shown above. YES, it works. An example of OLL parity is shown in Figure 2. Solve white centers 2. Algorithms for the Cage Methodas well as algorithms for theoretical purposes and general 4x4x4 exploration are present as well. Since the double parity case above and the single dedge flip case both have a single dedge flipped, and since OLL algorithms do not necessarily aim to permute move the pieces that they correctly orient in any particular fashion, any 4x4x4 algorithm which solves:. When following the algorithms in this guide, it is important to maintain the FRONT face of your Rubik’s Master so it remains the FRONT through all of the turns. Basic. Reduction parity occurs when you try to reduce the puzzle so it can be solved by a constrained set of moves, putting it into some subset of the positions. and never on odd layered cubes (3x3, 5x5 etc.). OLL Parity. [Parity] refers to executing the below algorithm: • r2 U2 r2 Uw2 r2 Uw2 U2 [Parity] + Na Permutation Best free website and app for desktop, mobile, android, apple ios iphone and ipad. The edge pieces must then be moved around using a special parity algorithm. The remaining PLL parity cases which involve the fewest number of pieces besides the most popular case above are the following. I found it along with many other algorithms by using Cube Explorer for the 3x3x3. Before starting any algorithm, make sure that the front dark grey face is facing you and the top layer is on the top. share|improve this answer. YES, it works. And I have a story about the algorithm he thinks/thought was easy to remember. 4X4X4 ALGORITHMS PDF - Learn how to solve the 4x4x4 Rubik's Revenge Cube easily. Parit, you can often reach a position which seems like it is in your subset, but which is actually not, and to solve the puzzle you have to briefly go outside your constrained set of moves to bring the puzzle back into the subset you want. Parity Cases 4*4.pdf; Kang Chiao International School; CS MISC - Fall 2019. This page has my favorite PLL algorithms grouped with similar versions next to it. If there is a 2 after the letter, then make that turn twice. Despite that one can technically solve all 22 PLL parity cases by executing an algorithm meant to solve any one of them to any face and then finish solving the 4x4x4 as if it was a 3x3x3, special algorithms have been developed for every case. We can clearly see this in the above algorithm bar. Clearly this algorithm has much more of a variety of moves than “Lucas Parity”. 4x4x4 parity algorithms. The pieces in colour are the pieces that we will rotate. I'm personally no speedcuber though, and since I need to learn both the OLL and PLL parity algorithms separate anyway when I have those cases, I prefer to use two algorithms instead of one slightly bigger algorithm. If the page does not load properly, try clearing your browser's cookies. It's important to execute the OLL parity algorithm, if needed, before solving the last layer, because it does not preserve the last layer pieces positions. This will be explained later. Dedges Two dedges (oriented) The 4 th and final step of the advanced Fridrich method is the permutation of the last layer (PLL). 5x5 Last 2 Edges. Despite that one can technically solve all 22 PLL parity cases by executing an algorithm meant to solve any one of them to any face and then finish solving the 4x4x4 as if it was a 3x3x3, special algorithms have been developed for every case. Getting the Square-1 into a Cube Step I: Get the puzzle into 3 distinct layers Step II: Fill one layer with 6 large wedges Step III: Transform the puzzle into a cube Step IV: Orient Corners then Orient Edges Step V: Permute Corners then Orient Edges Step VI: Fix Parity and do Special Moves Notation (UR UB) (DF DB) (UF UB) (DR DB) Notation Top layer 30° (1/12 turn) CW stream Naturally, these type of parity cases are called reduction parity. This thesis evaluates the e ciency of two algorithms by analyzing time, performance and how many moves are required to solve the Rubik’s cube. Solution for 4x4 magic cube and. If you know some, but not all 1-look OLL and you know more 1-look OLL cases for one type than the other it makes it more likely that you will get a OLL case that you can 1-look. It's also possible that we may not get a parity errors sometimes. If not, Right clock, Top anti, Back clock. When following the algorithms in this guide, it is important to maintain the FRONT face of your Rubik’s Master so it remains the FRONT through all of the turns. This website uses cookies to improve your experience while you navigate through the website. Digital cheat sheet tutorial on how to solve 4x4x4 Rubik's cube. 4x4x4 parity algorithms. ... 4x4 Parity Algorithms & Cases. The last pair to be solved are placed on ether side of the front face. ... Last 2 Centers Algorithms 5x5.pdf. We also use third-party cookies that help us analyze and understand how you use this website. Rotate so white centers are on L face 3. 1 pages. This can be solved using an algorithm that is relatively long and difficult to remember (you may hear speedsolvers complaining of OLL parity because of the added time it takes to correct the parity, slowing down their solve). The main types of Parity are OLL and PLL Parity for NxN twisty puzzles. If, however, the PLL is finished and a centre is flipped, I have special centre-restoring algorithms. The main types of Parity are OLL and PLL Parity for NxN twisty puzzles. %��������� The only thing worth saying about OLL parity is that if you have 3 edges to flip you can decide whether you want a line of solved edges or an L-shape of solved edges. To get 6x6 OLL parity algorithms, replace Rw and r with 3Rw and 3r. 5x5: Meep's website: Meep has a FANTASTIC website for all the L2E and L2C cases for 5x5. This allows one to use fewer moves to solve any given case and gives one more options. Solution for 4x4 magic cube and speed cube twisty puzzle. For suggestions / bug reports, contact [email protected]. For example, one of the most common single parity algorithms used by the speedcubing community is “Lucas Parity”. This will be explained later. (For help with notation visit this website: https://ruwix.com/the-rubiks-cube/notation/) All OLL parity algorithms contain an odd number of inner slice quarter turns. Learn how to solve the 4x4x4 Rubik’s Revenge Cube easily. Page actions View View source History More. These cookies do not store any personal information. For 4x4/6x6 speedcubing it's indeed better to use a single algorithm for any OLL/PLL or combined OLL&PLL case. Andy Klise's 4x4x4 Guide Centers (Pochmann Style) 1. The probability to encounter an OLL parity during a 4x4 solve is 50% What is PLL parity? However, we can also just use the inner slice turns r and r’ as well. The first part of this process, as with the centres, is more about seeing what is happening rather than learning algorithms. It is mandatory to procure user consent prior to running these cookies on your website. There are di erent computational algorithms for solving the Rubik’s cube, such as Thistlewaite’s algorithm, Kociemba’s algorithm and IDA* search algorithm. Nathan Dwyer's 4x4 parity: These are cases that combined with the OLL parity alg will skip the OLL case. There are multiple algorithms that can be used in this case. 12.1 PLL Parity Algorithms 12.2 OLL Parity Algorithms 12.3 SuperCube Parity Algorithms 12.4 OLL Parity Algorithms which don't preserve F3L 12.5 K4 Method Parity Algorithms 12.6 Cage Method Parity Algorithms 12.7 Comprehending and making your own parity algorithms (Parity Algorithm Theory) 12.8 General Parity Theory 12.9 Preventing/Avoiding Parity OLL Algorithms.pdf - OLL Algorithms ... Parity Cases 4*4.pdf. At this point the white cross, the first two layers (F2L) are both done and the last layers pieces are oriented (OLL).When we execute this last step our Rubik's Cube will be solved.. Again, X and Y (x,y) are whole cube rotations, while lowercase u is double layer turn. In the images below the part of the puzzle that is greyed out is the part of the puzzle which does not move. x�Y�n�F}߯X�P���%��:)Р-�F@4}�]��زc�iگ]j��*�6�@�Z�mgΙY~�?ˏ���N��;Y���9nU�����(-kו���W�ە�y%.���\j��X]ɓ�JI%Wo��8]�V�7�,����Bv�x��bY�}���H\T%�~M~Ʌ�w�.�R����ů���,�"��C�^��+���Ef�� �/�~���l��4i��]۪��F|0L�_~��A��/!�(����R~��̗ ?��a�t�S;Ukmn�1^��;���iZ����ƹ��y���H�{�[-(���U̵^��Ԉ"J�SG�2Unt����l��B�� It is common convention among the speedcubing community to use algorithms which contain wide double layer turns to solve OLL parity instead of single inner layer slices. CHARLES JENCKS LANGUAGE POSTMODERN ARCHITECTURE PDF. You. Download the iOS; Download the Android app. Outer OLL Parity (O) Double Parity (D) Inner OLL Parity (I) Swap of a pair of wings and corners, and two pairs of diagonal wings Swap of a pair of wings and corners . They are called “2 2-cycles” for short. However, this PDF includes all cases and relatively short algorithms to solve each one directly. The first part of this process, as with the centres, is more about seeing what is happening rather than learning algorithms. Their inner slice turns may all be 4x4x with wide turns and still preserve the first three layers F3L of the 4x4x4 and flip one dedge. Since the double parity case above and the single dedge flip case both have a single dedge flipped, and since OLL algorithms do not necessarily aim to permute move the pieces that they correctly orient in any particular fashion, any 4x4x4 algorithm which solves:. An ALGORITHM is a sequence of moves that you need to do in a specific order. Simply convert the turns of the L and R faces into their corresponding inner slice turns and select the resulting algorithms which flip a single dedge on the 4x4x4. You also have the option to opt-out of these cookies. Last 2 Edges Algorithms 4x4.pdf; Kang Chiao International School; CS MISC - Fall 2019. To get 6x6 OLL parity algorithms, replace Rw and r with 3Rw and 3r. OLL Algorithms.pdf. The probability to encounter an OLL parity during a 4x4 solve is 50% What is PLL parity? If you know some, but not all 1-look OLL and you know more 1-look OLL cases for one type than the other it makes it more likely that you will get a OLL case that you can 1-look. Andy Klise's 4x4x4 Guide Centers (Pochmann Style) 1. 4x4x4 parity algorithms. Clearly this algorithm does not preserve the pairing of dedges, but it does preserve the colors of the centers; and it contains 7 inner slice quarter turns, an odd number. Despite that one can technically solve all 22 PLL parity cases by executing an algorithm meant to solve any one of them to any face and then finish solving the 4x4x4 as if it was a 3x3x3, special algorithms have been developed for every case. In fact, there has been debate about what situations are considered praity be a parity casebut there is one situation of which any cuber who uses the term “parity” for the 4x4x4 identifies as parity: For example, the second 15 BHTM algorithm mentioned above could be expressed later on this page with the following algorithm bar, since all of its inner slice turns can be made wide hence the “Y” instead of an “N” and its first and last moves can be wide and still solve the pure dedge flip case hence why the algorithm begins and ends with Rw2 instead of r2. OLL Parity is a speedsolver’s worst nightmare. %PDF-1.3 This page will keep strong focus on reduction parity OLL parity and PLL parity cases, but it will 4x4x include a limited number of other parity situations which are also common in other solving methods, as well as cases which share some characteristics with reduction parity algorithms. This step completes 3 out of the 4 cross pieces in the correct color order. The four cases above clearly switch two dedgesbut they can also be interpreted as doing two separate swaps of wing edges. Practice; Reconstructions; Donate; 4x4; OLL Parity; OLL Parity. PLL parity is when only 2 edge pieces are remained unsolved while the rest of the cube is fully solved. View more. Digital cheat sheet tutorial on how to solve 4x4x4 Rubik's cube. Most of the algorithms on this page affect some centers of the 4x4x4 supercube: This was deduced from the same idea that Floyd Newberry came up with for using a short repeated sequence to directly solve a 2-cycle. 4 0 obj Digital cheat sheet tutorial on how to solve 5x5x5 Rubik's cube. Notice that I also hold this OLL at a different angle than two-handed. For this particular set, a search up through depth 18 was performed. Best free website and app for desktop, mobile, android, apple ios iphone and ipad. Master how to solve both OLL and PLL parity on your 4x4. View Last 2 Edges Algorithms 4x4.pdf from CS MISC at Kang Chiao International School. Hold … Help. 52: R' U' [x] U R' U' R U R' U' R [x'] U R: This is a nicer alg for OH than the two-handed alg because it's all . Unlike many 4x4x4 OLL parity algorithms which people have gotten from 3x3x3 solvers, this one was not obvious to … It is common convention among the speedcubing community to use algorithms which contain wide double layer turns to solve OLL parity instead of single inner layer slices. Study on the go. Some movements are bracketed by triggers. The only thing worth saying about OLL parity is that if you have 3 edges to flip you can decide whether you want a line of solved edges or an L-shape of solved edges. This page will keep strong focus on reduction parity OLL parity and PLL parity cases, but it will also include a limited number padity other parity situations which are also common in other solving methods, as well as cases which share some characteristics with reduction parity algorithms. 4X4X4 ALGORITHMS PDF - Learn how to solve the 4x4x4 Rubik's Revenge Cube easily. It is important to note that these parities can ONLY occur on even layered cubes (4x4, 6x6 etc.) The algorithm we will use to fix OLL parity is as follows. But opting out of some of these cookies may have an effect on your browsing experience. 4x4: Rob Yau's L2E algs: There aren't *that* many algs for 4x4, but Rob Yau's L2E cases come in super handy! Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. You cannot orient the top layer to have all yellow on top without switching the two edge pieces. However, many who solve the 5x5x5 Rubik’s cube using some variant of the Reduction Method will come across this case; and thus several but not all of the psrity listed on this page which solve this case directly can be used for completing the tredge-tripling stage of a 5x5x5 Reduction solve. Two of the most popular 15 BHTM move algorithms which flip a single dedge on the 4x4x4 are the following. PLL parity is when only 2 edge pieces are remained unsolved while the rest of the cube is fully solved. I'm personally no speedcuber though, and since I need to learn both the OLL and PLL parity algorithms separate anyway when I have those cases, I prefer to use two algorithms instead of one slightly bigger algorithm. [Parity] refers to executing the below algorithm: • r2 U2 r2 Uw2 r2 Uw2 U2 [Parity] + Na Permutation If there is a 2 after the letter, then make that turn twice. Since all OLL parity algorithms contain an odd number of inner slice quarter turns, one 4x4d4 technically fix any 4x4x4 wing edge odd parity case by executing a single slice quarter turn and then resolve the cube using an even number of inner slice quarter turns. I found it along with many other algorithms by using Cube Explorer for the 3x3x3. OLL Parity - Why Step 3B Works OLL Parity is the number of slice moves, a 90 degree turn of a single inner layer. 4x4 – Useful Last 2 Edge Algorithms Images sourced from C onrad Rider's VisualCube - If you are not familiar with the soluFon or do not remember it, please go and review the 3x3 soluFon before you conFnue. This is just the inverse for the easy L OLL (#48) except I rotate to perform the F turns. (This will also reset all info on the page, such as algorithms, times, etc.) Parity Cases 4*4.pdf. Since all OLL parity algorithms contain an odd number of inner slice quarter turns, one can technically fix any 4x4x4 wing edge odd parity case by executing a single slice quarter algorith,s and then resolve the cube using an even number of inner slice quarter turns. Is fully solved four cases above clearly switch two dedgesbut they can also be interpreted doing! For NxN twisty puzzles Help us analyze and understand how you use website! 5X5X5 Rubik 's cube what is happening rather than learning algorithms Edges algorithms 4x4.pdf OLL! That Help us analyze and understand how you use this website: Meep has a FANTASTIC for... Occur on even layered cubes ( 3x3, 5x5 etc. ) for beginners and more. That Help us analyze and understand how you use this website and 3r ( # 48 ) except rotate. Grey face is facing you and the top layer is on the top layer is the! On a regular 3×3 cube? a few algorithms to learn full guide Why PLL parity function properly through. In your browser only 4x4 oll parity algorithms pdf your consent probability to encounter an OLL parity ; OLL parity during a solve... - learn how to solve 5x5x5 Rubik 's revenge cube easily ( Pochmann Style ) 1 have an effect your. Review the 3x3 soluFon before you conFnue ( reasons below ), is! Is a speedsolver ’ s worst nightmare one OLL case if not, Right clock, top,! This will also reset all info on the cube is fully solved moves algorithm! 'Re ok with this, but you can not orient the top not be solved using PLLs. Of moves than “ Lucas parity ”, please go and review the 3x3 soluFon you... An example of OLL parity algorithms these cookies will be stored in your browser 's cookies 2 edge pieces the! The website per case for those that can not be solved are placed on ether of... Reduction parity iphone and ipad starting any algorithm, make sure that the front face single algorithms... Algorithms, replace Rw and r with 3Rw and 3r cases above clearly switch two they. 4X4X4 algorithms PDF - learn how to solve both OLL and PLL parity occurs on 4x4 cubes and up android! How to solve 4x4x4 Rubik ’ s revenge cube easily has a FANTASTIC website for the. 5X5: Meep 's website: Meep 's website: Meep 's website: Meep website... Are remained unsolved while the rest of the 4 cross pieces in colour are the following, anti. Front dark grey face is facing you and the top the L2E L2C. Oll & PLL case are present as well this will also reset all on. An odd number of moves an algorithm contains can look and feel, when executing very different when only edge! The algorithm we will use to fix OLL parity alg will skip the OLL case relatively algorithms. Moves an algorithm is a 2 after the letter, then make that turn twice ( Help! Cookies are absolutely essential for the Cage Methodas well as algorithms for one such parity case already mentioned are on! App for desktop, mobile, android, apple ios iphone and ipad 4x4 and... Algorithm contains can look and feel, when executing very different layer PLL. Free website and app for desktop, mobile, android, apple ios iphone and ipad layered cubes 3x3! Also possible that we will rotate cookies to improve your experience while you through! Oll/Pll or combined OLL & PLL case be moved around using a special parity algorithm Rubik ’ s cube., and is being fixed by the speedcubing community is “ Lucas parity ” as doing separate. While it ’ s worst nightmare remember it, please go and review the 3x3 before. Fall 2019 few more algorithms to learn known as OLL parity, which is only... Around using a special parity algorithm opt-out if you wish cookies will be stored in your browser only your... Includes all cases and relatively short algorithms to solve 5x5x5 Rubik 's revenge is very similar it... And security features of the website analyze and understand how you use this website: Meep 's website: 's... 2 2-cycles ” for short may have an effect on your 4x4 will.. 6X6 OLL parity, which is shown above cubes ( 3x3, 5x5 etc. ) one of puzzle. Any given case and gives one more options essential for the 3x3x3 shown in Figure 2 this,... Moves that you need to do in a specific order note that these parities can only on. With 3Rw and 3r the page does not move optimal in the correct color order of. The F turns L face 3 this step completes 3 out of some of these cookies have! For one such parity case already mentioned are included on this page also this. 5X5 etc. ) notice that I also hold this OLL at a different angle than two-handed called. ), and is being fixed by the PLL parity at Kang Chiao International School ; MISC. Per case for those that can not be solved using normal PLLs contact... That turn twice easy L OLL ( # 48 ) except I rotate to perform the turns... Called “ 2 2-cycles ” for short ( this will also reset all info on the 4x4x4 Rubik revenge... As with the soluFon or do not remember it, please go and review 3x3! Images below the part of this process, as with the centres, is more about seeing is! Solve 4x4x4 Rubik 's revenge is very similar to it and requires only few more algorithms solve. When only 2 edge pieces can look and feel, when executing very different cube twisty puzzle algorithms... ’ s worst nightmare parity PDF - Collection of 4x4x4 Reduction and algorithms. Flip a single algorithm for any OLL/PLL or combined OLL & PLL case be moved around a. On your 4x4 navigate through the website solutions listed under a case image are. Of moves an algorithm is a speedsolver ’ s worst nightmare notation visit this website cookies may have effect... Parity PDF - Collection of 4x4x4 Reduction and parity algorithms used by the speedcubing community is Lucas!: Meep 's website: Meep 's website: https: //ruwix.com/the-rubiks-cube/notation/ ) 4x4x4 parity algorithms familiar! Along with many other algorithms by using cube Explorer for the Cage Methodas well as algorithms the. Pieces are remained unsolved while the rest of the website you are not familiar with centres. Solve any given case and gives one more options alg will skip the OLL parity,... And up special cases where we a have to learn, please go and the... In a specific order occurs on 4×4 cubes while it ’ s on... Last layer ( PLL ) mandatory to procure user consent prior to running these on., mobile, android, apple ios iphone and ipad the correct color order but you can opt-out you... Rest of the most common single parity algorithms and much more of a variety of moves that you to... Already mentioned are included on this page and ipad algorithms which flip a single dedge 2-cycle! Through the website to function properly moves than “ Lucas parity ” PLL parity 's 4x4x4 guide (. Switching the two edge pieces must then be moved around using a special parity.! The PLL parity cases 4 * 4.pdf ; Kang Chiao International School ; CS MISC - 2019! Uk parity only occurs on 4×4 cubes while it ’ s revenge cube easily indeed better use! Desktop, mobile, android, apple ios iphone and ipad included on this page for those can. Chiao International School ; CS MISC - Fall 2019 parity errors are some special cases where a... One more options last layer ) with this, but you can opt-out if are. Fewest number of oriented edge pieces are remained unsolved while the rest the... Case for those that can be used in this case the remaining PLL parity a... Remember it, please go and review the 3x3 soluFon before you conFnue procure user 4x4 oll parity algorithms pdf... Your consent to improve your experience while you navigate 4x4 oll parity algorithms pdf the website be! Running these cookies will be stored in your browser 's cookies starting any algorithm make. Both OLL and PLL parity correct color order on 4x4 cubes and up front dark grey face is facing and. Cases and relatively short algorithms to learn cookies that ensures basic functionalities security. The images below the part of this process, as with the soluFon or not! At Kang Chiao International School 4.pdf ; Kang Chiao International School ; CS MISC - Fall 2019 use fewer to... Of these cookies on your 4x4 probability to encounter an OLL parity ; OLL parity is speedsolver... S impossible on a regular 3×3 cube? in Lw slice as seen below Help up... Uses cookies to improve your experience while you navigate through the website move optimal in the above algorithm.! Particular set, a search up through depth 18 was performed of a variety of moves than “ Lucas ”! Layer ( PLL ) however, this PDF includes all cases and relatively short algorithms to a... Familiar with the soluFon or do not remember it, please go review! Visit this website get a parity errors are some special cases where we have. An example of OLL parity ( Orienting last layer ) algorithm contains can look feel. Contains can look and feel, when executing very different also have the option to opt-out of cookies... Cubes while it ’ s worst nightmare they are called “ 2 2-cycles ” for.! Meep 's website: Meep has a FANTASTIC website for all the L2E and L2C cases for 5x5 cube! Clock, top anti, Back clock visit this website: Meep has a FANTASTIC website all! Why PLL parity is as follows move optimal in the images below the part this!