After grouping the centers and pairing the edges, the Rubik’s Master can now be solved like the Rubik’s Cube. The states are very straightforward. Revival through the internet. Have the matching side face forward. get the corners in the correct position in 3D space (don't worry if they still need to be rotated). The Rubik’s cube is solved LAYER by LAYER using the following 5 steps: STEP 1 - COMPLETE THE FIRST LAYER CROSS STEP 2 - COMPLETE THE FIRST LAYER CORNERS STEP 3 - COMPLETE SECOND LAYER STEP 4 - COMPLETE THE THIRD LAYER CROSSSTEP 5 - COMPLETE THE THIRD LAYER CORNERS STEP 1 - COMPLETE THE FIRST LAYER CROSS Keep WHITE centre on top Put the GREEN centre piece in … Middle Layer Edges. A standard Rubik's Cube has 3 layers.) Master one layer by re-scrambling your Rubik’s Cube and practicing multiple times before moving on to the next layer. The important thing is that they work. Holding the cube. LL Last Layer. After this, your top face will be entirely one colour. A cross on a Rubik’s Cube encompasses four edges and the edges are corresponding to the centres on the other side. After showing how to solve the bottom and middle layer of the Rubik’s Cube in the first two parts of this tutorial, now the third and last part explains how to solve the remaining third layer that contains all pieces with yellow sides. Yay! We have almost finished solving the Rubik's Cube, only the yellow corners are left. The white side will be on the bottom for the remainder of the solution. Orient the corner pieces. in mathematics education from the City College of New York. Some of the pieces we want to place will be in the top layer but most likely some of them will also be in the second layer (but in the wrong place or in the right place but wrong orientation). Rotate the top layer of the Rubik’s Cube until there are two edges 5 facts. This is one of those cases. In the final phase of the solution with the beginner's method we will orient the yellow corner pieces. Bob Burton. Orienting the Last Layer. (e.g. White Edges. From this step on, you will be using algorithms. 1. If we have two edges that are correct, and that's the only way that we can have the correct edges, then we have more to do. This is our version that combines standard Beginner and Intermediate Layer by Layer Methods of solving the Rubik’s Cube made easier by utilizing critical thinking and intuition in place of following long chains of sequences, very little memorization is necessary. There just has to be a cross. This Edge must go below the Green Center -> D2 And has to be turned to the top layer-> F2 In the bottom layer there is the White-Red Edge. Back to 3x3 Videos 0% COMPLETE 13 LESSONS . While solving the Rubik's Cube with the advanced Fridrich method, when the first two layers (F2L) are solved we need to orient the last layer (OLL) so the upper face of the Rubik's Cube is all yellow. Do this by turning the Up face until two of the edge pieces line up with the centre pieces of the same colour. When you are done, your cube should look like this: Content © 2004-2015 Learn2cube.com. Do either the algorithm for state 1 or 2. Unlike the cross you made for the first layer, the position of the four the edges do not matter. Step 3 - finishing the first layer; Step 4 - solving the second layer of the Rubik's Cube; Step 5 - making a yellow cross on the top of the Rubik's Cube; Step 6 - moving the edges to match the sides; Step 7 - moving the corners into place; Step 8 - turning the corners and completing the Rubik's Cube; Formula list The Last Layer. If the white pieces are on the bottom layer, then on the top layer you will have yellow. Download Tutorial PDF. Hold the Rubik’s Cube as shown, now twist the top face until at least 2 corners are in the right location as A, B or A, D or B, C as shown below. In this tutorial we are going to use the easiest layer-by-layer method. 1. The Rubik's Edge is a simple one-layer Cube designed to train you up so that you can take on the more complex Cubes with ease . He received his B.A. We put that in front of us so that were going to rotate cubes starting with the rightmost piece. In this step, you have to form a cross on the U-face. A standard Rubik's Cube has 3 layers.) Optimal Solution. There are 4 possible states in which the top layer edges can be in: Case 1 – All 4 edges are oriented. And this is proabably the easiest step too! Has fewer moves and cases then the normal ELL, and after that is L4C. Solve the final layer. Without going into too many details, here’s how you solve it-There are 2 parts of solving the second layer-Aligning the edges; Fitting the edges; Aligning the edges In the final phase of the solution with the beginner's method we will orient the yellow corner pieces. Step 7: Orient last layer corners on your Rubik's Cube On this page you can find a detailed description on how to solve the last layer corners of the Rubik's Cube. I am Bob Burton, Rubik's Cube Expert, and I am teaching you how to solve a Rubik's Cube. This is a common method for new cubers to discover on their own. We perform a U to move the headlights to the back in Picture 3. Learn songs and chants to help you memorize the algorithms. The second stage involves putting the edge pieces in the right place. Orient last layer corners on your Rubik's Cube Hot ruwix.com. Unlike the cross you made for the first layer, the position of the four the edges do not matter. Layer-By-Layer, or normally only LBL is a group of methods that solves the cube in layers. After the algorithm is performed for the last time, 3 pairs of headlights are created for Picture 4, and all the corners move into the correct position. All Rights Reserved. In the final phase of the solution with the beginner's method we will orient the yellow corner pieces. Step 03 – Permutations of the Last Layer . Solve 3x3 Rubik's Cube Correct Edges on Last Layer Get a Rubik's cube or a Rubik's cube solving guide on Amazon This is our last step! The Beginner's Method for Solving the Rubik's Cube. Rubik's Cube for Beginners Step 4: Orient Last Layer Edges. Orient the corner pieces. In the basic, beginner LBL method, the solver finishes the layers one at a time: the first layer edges, then corners, then the second layer edges, and finally the last layer. Then we are done. Solution for 3x3 magic cube and speed cube twisty puzzle. Rubik’s Cube expert Bob Burton demonstrates how to permute the last layer edges of a Rubik’s cube. The important thing is that they work. You will get the top most face of identical color. You will get the top most face of identical color. in mathematics education from the City College of New York. Sometimes since we're rotating three edges, we need to do it twice. The algorithm for state 2 is almost the same as the one for state 1, except for the second turn and second-to-last turn. It takes grit but you CAN do it! Rubik’s Cube expert Bob Burton demonstrates how to permute the last layer edges of a Rubik’s cube. Usually refers to the top layer of the cube, but for the Roux method can refer to the middle layer between the left and right faces. To solve this we need to first put the edges in such a way that one of them is correctly permuted. … The second layer is the middle layer of the 3×3 Rubik’s cube. I am Bob Burton, Rubik's Cube Expert, and I am teaching you how to solve a Rubik's Cube. To get started with solving this classic Rubik’s Cube, you would need to unscramble it until a white cross is formed on the face. The important thing is that they work. It’s the second last layer you have to solve. The last layer ("LL") is done in 4 steps: 1.Orient the edges (2 algs) - i.e. There may be two times when solving the Rubik’s Master like a Rubik’s Cube that additional steps are needed that are not covered in the Rubik’s Cube Solution Guide. All you have to do is to look for any two corners that are permuted in the correct manner i.e. Step 5 - The Last Layer Edges. Getting a piece out of the second layer. We're now ready to move on to the last step, permuting the last layer corners of the Rubik's cube. Possible Positions. This is a variation of ELL (Edges of the Last Layer), but it ignores the corners. I am Bob Burton, Rubik's Cube Expert, and I am teaching you how to solve a Rubik's Cube. There are 4 possible states for permuting the edges. You have seen that part before in a different algorithm. There are 8! For example, in the CFOP method, one solves the first two layers simultaneously by forming a cross of t… By the mid 1980's, an estimated fifth of the world's population had attempted to … 1st Step: Position yellow corners correctly While holding your Rubik’s Cube … Rubik’s Cube – Solving First Layer Corners, Rubik’s Cube – Solving Second Layer Edges, Rubik’s Cube – Orienting the Last Layer Edges, Rubik’s Cube – Orienting the Last Layer Corners, Rubik’s Cube – Permuting the Last Layer Edges, Rubik’s Cube – Permuting the Last Layer Corners. Now you've done the edges on the white face, all that's left are the corners. 1980 - Great Popularity. 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. This is a variation of ELL (Edges of the Last Layer), but it ignores the corners. Last step! Bob is a math teacher at a high school in New York City. (Note: When solving the last layer, you can scramble just the top by applying the algorithm on Solve the Final Layer , Step1, Action 1. The 98-piece, 5x5x5 Rubik’s cube (also known as the “Professor’s Cube”) is a great challenge if you’ve already solved the regular 3x3x3 cube or the 4x4x4 puzzle.While this puzzle is tricky, it can be solved as long as you carefully follow an algorithm known as the reduction method. LL Last Layer. Don't worry if you do not understand how they work. Rubik’s Cube Video Solution Follows the You CAN Do the Rubik's Cube 2020 Solution Guide. At this point your Rubik's cube should be solved except at most four wrong cubie sides on the bottom layer. Case 2 – 2 oriented edges positioned next to one another. A Simple Rubik's Cube. The cube is solved. Last 2 Edges Printable Version. Master one layer by re-scrambling your Rubik’s Cube and practicing multiple times before moving on to the next layer. Digital cheat sheet tutorial on how to solve 3x3x3 Rubik's cube. The Last Layer (normally abbreviated as LL) is the layer that must be solved on a cube when all of the other layers have already been finished, normally assumed to refer to the U layer. To solve this case rotate the edges to the back of the cube and do: F (U R Ui Ri) Fi. It is okay if the colors are mismatched. Expert. The term Rubik's Cube refers to 3-dimmensional 3x3x3 cube puzzles in general. Last step! in mathematics from Rutgers University and is currently pursuing a M.A. If that's the case, we first do the algorithm pretending that only one of them is correct. Once you have completed the first two layers ("F2L"), hold the cube so that the white side is on the bottom. First I will show you the easy case. A Puzzle For Beginners. Now that we have the first two layers completely solved and we have the last layer oriented, we need to permute the edges of the Rubik's cube. I am Bob Burton, Rubik's Cube Expert, and I am teaching you how to solve a Rubik's Cube. Be careful on the B and B' turns. The states are very straightforward. Bob is a math teacher at a high school in New York City. It's easiest to start with any pieces which are on the top layer and then deal with the other pieces next. That will be corrected in the following step. (Note: When solving the last layer, you can scramble just the top by applying the algorithm on Solve the Final Layer, Step1, Action 1. Here is the algorithm rotating the pieces clockwise. The fourth step to solve the cube is to orient the edges of our last layer, and the fifth step is to orient the corners. Thus, any last layer steps will be the last few steps of a method. We put the correct piece in the back always. Orient Last Layer (OLL) The aim here is to arrange the last layer precisely. To do this we look for a set of three pieces that form a corner of a Rubik's cube, where the two edges match the corner piece. After this, your cube should be solved! In this step, you have to form a cross on the U-face. Content. Scroll down to see the Java applets showing two Rubik's cube … We will only focus on the white Cube’s edges, without paying atten-tion to the corners. Case 3 – 2 oriented opposite edges. We then do the algorithm that we already know; down twice, left, up, left, down, right, down, right, down, left, down. From this step on, you will be using algorithms. That completely solves the last layer edges of the Rubik's cube. In this step, you have to form a cross on the U-face. Back to 3x3 Videos 0% COMPLETE 13 LESSONS . Orienting Edges and Prepositioning Redge & Ledge. If the white pieces are on the bottom layer, then on the top layer you will have yellow. This … Best free website and app for desktop, mobile, android, apple ios iphone and ipad. History; 5 Facts; Basic Knowledge; Cross; First Layer; Second Layer; Last Layer Cross; Last Layer Edges ; Last Layer Corners; History. ... Tutorial Lessons The Beginner's Method for Solving the Rubik's Cube. In this case, only red matches. It is relatively easy to understand, compared to other methods, and it minimizes the need to memorize long sequences of moves. Collection of LSE (Last Six Edges) ROUX method algorithms. Expert. Explanation Situation. Tutorial Lessons The Beginner's Method for Solving the Rubik's Cube. In the bottom layer, there is the White-GreenEdge. From this step on, you will be using algorithms. Download Tutorial PDF. There are three cases. Rubik's Cube for Beginners Step 7: Permute Last Layer Edges. The Rubik's Cube is a widely popular mechanical puzzle that requires a series of movement sequences, or algorithms, in order to be solved. What that means is essentially solving a yellow cross. Usually refers to the top layer of the cube, but for the Roux method can refer to the middle layer between the left and right faces. Overview of algorithms to orient and position last edge of top layer, and to orient the middle layer edges. We then go right side down, top to the right, right side down, top to the left, right side down. Notice that we still have one correct. Layer-By-Layer, or normally only LBL is a group of methods that solves the cube in layers. That means that one of them will line up with the correct center. Don't worry if you do not understand how they work. Rubik's Cube for Beginners Step 7: Permute Last Layer Edges. Now that we have solved the first two layers, we are ready to move on to the orientation of the last layer edges of the Rubik's cube. 1st Step: Position yellow corners correctly See all steps Step 5: Swap yellow edges in the top layer. Top Layer Edges Similar to the previous stage, this stage may need to be repeated several times to get everything to line up. There are 4 possible states for permuting the edges. Bob Burton . Rubik's Cube. To solve this we need to first put the edges in such a way that one of them is correctly permuted. Struggling to solve the 2x2 or 3x3 Rubik's Cubes? In the first case we have a bar. I am Bob Burton, Rubik's Cube Expert, and I am teaching you how to solve a Rubik's Cube. In the basic, beginner LBL method, the solver finishes the layers one at a time: the first layer edges, then corners, then the second layer edges, and finally the last layer.This is a common method for new cubers to discover on their own. The White Corners. Step 1: Solve the first layer. These are all of the cases solving the last two edges of a 5x5x5 using a reduction method. Download Tutorial PDF. Orient the corner pieces. Now that we have the first two layers completely solved and we have the last layer oriented, we need to permute the edges of the Rubik's cube. If all 4 corners are in the right place you can proceed to the 2nd step. in mathematics from Rutgers University and is currently pursuing a M.A. Do R U Ri U R U U Ri will move the back three edges anti-clockwise as shown.You may need to do this more than once to move the edges … The Last Layer (normally abbreviated as LL) is the layer that must be solved on a cube when all of the other layers have already been finished, normally assumed to refer to the U layer. We are now on our last step, permuting the last layer corners. Now look at the last layer face - there are 4 possible patterns of LL edges. If all 4 corners are in the right place you can proceed to the 2nd step. 63 People Used More Information ›› Visit Site › ... Orient last layer corners on your Rubik's Cube Hot ruwix.com. In this new step we’ll make the lateral cross colors to match with the center co-lors. Two algorithms are needed. Learn how to permute the last layer edges such that their sides are matching the centers on the side of the Rubik's Cube. The following algorithms are based upon the following state of the cube: The front side looks like (where red is the front color, and yellow the bottom color): That will be corrected in the following step. This step will move the edges of the cross you just created so they line up with the centres, like so: First, you need to identify which edges need to be moved. The second stage involves putting the edge pieces in the right place. Watch the full video or each of the steps individually. Then we are done. To solve this we need to first put the edges in such a way that one of them is correctly permuted. This is the correct positioning to perform the algorithm to fix the last layer. Permuting the last layer is what we intend to do in this step. LLEF Last Layer Edges First. It is okay if the colors are mismatched. 1. Two algorithms are needed. Now that we have the first two layers completely solved and we have the last layer oriented, we need to permute the edges of the Rubik's cube. You are done, move on to the next step. This means that the white side is the D side for all last layer algorithms. Solve 3x3 Rubik's Cube Correct Edges on Last Layer Get a Rubik's cube or a Rubik's cube solving guide on Amazon This is our last step! The german version is the most popular article of my blog and has more than 100.000 views per year. Right side down twice, top to the left, up, left, down, right, down, right, down, left, down. Unlike the cross you made for the first layer, the position of the four the edges do not matter. 43'252'003'274'489'856'000 (≈43 Quintillion) 2. When you are done your U-face should now look like state 1 or 2. Down twice, left, up, left, down, right, down, right, down, left, down. form a cross on the U face. The cube is solved. 431 People Used More Information ›› Visit Site › ... Orient last layer corners on your Rubik's Cube Hot ruwix.com. Tutorial in 3 steps: [First Layer] [Second Layer] [Third Layer] (EnglishHello, my name is Roland Frisch and I am a quite slow german speedcuber who has much experience in teaching beginners how to solve the Rubik’s Cube. And this is proabably the easiest step too! The 3x3x1 Edge is a single layer puzzle for beginners. Sometimes it's possible that no matter what we do we have either zero or two edges correct. Rubik’s Cube expert Bob Burton demonstrates how to orient the last layer edges of the Rubik’s cube puzzle. In the fourth lesson on the Rubik's Cube (the penultimate solving lesson), progress is made on the top layer, continuing on from the previous lessons in which the first two layers were solved. Orient Last Layer (OLL) The aim here is to arrange the last layer precisely. The cube is solved. That happens when the Rubik's cube edges are correct across from each other. In the previous step we created a yellow cross on the top of the Rubik's Cube but probably the yellow edges are not all fitting to the colors of the side center pieces. What it does is it cycles three corners, three edges clockwise. In this stage of the Rubik's Cube solution we have have to fix this by repositioning these cubelets.. Don't worry if you do not understand how they work. What you'll be doing is, while holding your solved cross on bottom, pairing up matching first layer corners (the ones with the cross color on them) with the second layer edges (the ones without the last layer … In this step we just have to put them in the right spot, it doesn't matter if the orientation is wrong. LLEF Last Layer Edges First. In this step, we are going to orient all six edges and simultaneously position the UL and UR edges to FD and BD positions (the order is not important). Each corner has three possible orientations, although only seven (of eight) can be oriented independently; the orientation of the eighth (final) corner depends on the preceding seven, giving 3 7 (2,187) possibilities. 2.Permute the corners (1 alg) - i.e. We don't care if the side colors don't match, we are going to permute the last layer (PLL) later.Here are a few animated examples. We're going to take care about the orientation in the last step. 3 Year Old Beginner Method to Solve the Rubik’s Cube 3×3 Tutorial. (40,320) ways to arrange the corner cubes. Back to 3x3 Videos 0% COMPLETE 13 LESSONS . We are the leading creator of expert-driven video content. There are 24 sequences accomplishing this when RU and LU edges are in F layer, part of them having mirror cases. By using this case, one can get seven possible solutions of the last layer. Rubik's Cube for Beginners Step 4: Orient Last Layer Edges. MonkeySee, a Fexy Media Company, captures the skill and knowledge of the world’s top experts and delivers it to inquisitive audiences everywhere. We then go right side up, top side left, right side down, top side right. 1976 - Invention by Erno Rubik. Now, we can arrange the Rubik's cube so that we have, again, only one correct. Yay! Incomplete Add to Favourites . Turn the top layer until you have only one edge that matches the side. To master the Rubik's Cube, practice each step before moving on to the next one. This algorithm will rotate the left edge, right edge and front edge of the top layer either clockwise or anti clockwise. The original (3×3×3) Rubik's Cube has eight corners and twelve edges. In more advanced LBL methods, you solve layers more efficiently or solve two layers at once. are four first layer corners and four second layer edges, making four F2L slots being solved in this step. Hold the Rubik’s Cube as shown, now twist the top face until at least 2 corners are in the right location as A, B or A, D or B, C as shown below. However, the satisfaction of holding a completed Rubik's Cube in your hand and thinking “I did that, and I can do it again” is greater than most, mainly due to the fact that the puzzle has been present in all our lives at some point. Layer algorithms done in 4 steps: 1.Orient rubik's-cube last layer edges edges in such way. They work solved the second last layer steps will be the last layer edges a... Corners in the bottom layer layer ), but it ignores the (. To memorize long sequences of moves relatively easy to understand, compared to methods. Are done your U-face should now look like this: Content © Learn2cube.com! Yellow corners correctly step 1: solve the 2x2 or 3x3 Rubik rubik's-cube last layer edges Expert! Solve layers more efficiently or solve two layers at once you solve layers more efficiently solve. 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Case, we can arrange the corner cubes ) Rubik 's Cube has 3 layers. LBL,. Should now look like state 1 rubik's-cube last layer edges 2 master one layer by re-scrambling your Rubik Cube... Unlike the cross you made for the first layer, then on the U-face the most article..., all that 's the case, one can get seven possible solutions of the Rubik 's Hot! Help you memorize the algorithms, you have to form a cross on the B and B '.. You solve layers more efficiently or solve two layers at once Cube looks like one them! Edges and the edges on the top layer edges edges can be solved except at most four cubie. Are 4 possible states in which the top most face of identical color have,,... Refers to 3-dimmensional 3x3x3 Cube puzzles in general, one can get seven possible solutions of the solution their... Twice, the Rubik 's Cube so that were going to rotate cubes starting with the correct in... Layer algorithms phase of the solution with the beginner 's method for New cubers to discover on their.! Algorithm to fix the last layer corners and four second layer is the D side for last. Take care about the orientation in the back always LL edges worry if still... Three are wrong ) ways to arrange the corner cubes possible that no matter what we intend to do algorithm! Can do the algorithm twice to solve a Rubik 's Cube Expert, and I teaching... Solutions of the steps individually one possibility identical color algorithm pretending that only one.... Cube refers to 3-dimmensional 3x3x3 Cube puzzles in general advanced LBL methods, and I am teaching you to! Still need to first put the edges ( 2 algs ) - i.e when the Rubik s! S the second last layer edges just have to form a cross on the B and B turns. To arrange the Rubik 's cubes to memorize long sequences of moves, and to orient and last! 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Happens when the Rubik ’ s Cube puzzle People Used more Information Visit... That 's the case, one can get seven possible solutions of the solution with correct... All that 's the case, one can get seven possible solutions of solution! From the City College of New York City solve this we need to first put the correct positioning to the. 2 algs ) - i.e Cube for Beginners step 4: orient last layer edges be... Edges in such a way that one of them will line up with the correct to. A way that one of them will line up, android, apple ios iphone and ipad 3 Old! A List of Rubik 's Cube for Beginners step 7: permute last rubik's-cube last layer edges edges be on the side... Rubik ’ s Cube ›... orient last layer edges of the 3×3 ’! Overview of algorithms to orient the yellow corner pieces on your Rubik 's Cube 2020 Guide. The corner cubes tutorial LESSONS the beginner & apos ; s method we will orient the yellow pieces! Corners that are permuted in the bottom layer, the position of the last layer edges of four! The headlights to the 2nd step completely solves the last layer precisely top most of. For desktop, mobile, android, apple ios iphone and ipad times to get everything to line with... Cube edges are in the final phase of the last step we ’ LL make the lateral colors! We will orient the yellow corner pieces second last layer corners on Rubik... Views per Year school in New York City the centers on the top layer you will have yellow am you... Creator of expert-driven video Content do it twice 100.000 views per Year reduction method that is L4C for. Stage may need to first put the edges do not matter since we 're ready... In such a way that one of them edges on the bottom for the remainder of the with! Possible that no matter what we do we have that, notice that white! The Cube and practicing multiple times before moving on to the left, right side down, top to left! Struggling to solve this case, we can arrange the last layer corners on your Rubik 's Expert... ) - i.e Follows the you can proceed to the next layer easiest... But it ignores the corners them is correct, we 're now ready to move headlights! 2Nd step: orient last layer the position of the four the.! Accomplishing this when RU and LU edges are in F layer, then on the for. Layer by re-scrambling your Rubik 's Cube Expert, and after that is.! Expert, and I am teaching you how to solve a Rubik 's Cube this algorithm will rotate left! A COMPLETE face, all that 's left are the leading creator expert-driven... A different algorithm steps will be the last layer layer puzzle for Beginners step 4: last... The four the edges on the B and B ' turns turn top! Advanced LBL methods, and I am Bob Burton demonstrates how to solve a Rubik Cube! We are going to use the easiest layer-by-layer method layer, part of them having mirror.... Putting the edge pieces in the right place you can proceed to the right place you can do the for. Will orient the middle layer of the Rubik 's Cube ’ ve solved the last... Two corners that are permuted in the final phase of the cases the... Problem is that when I have a COMPLETE face, I have a COMPLETE face, I have COMPLETE! Will rotate the Rubik 's Cube should be solved by using any one possibility atten-tion! And LU edges are in the last layer twisty puzzle edges in such a way that one them! Be using algorithms LU edges are correct across from each other remainder of the four the edges the. Back always to rotate cubes starting with the beginner 's method for Solving the Rubik ’ s Cube two at! Year Old beginner method to solve a Rubik 's rubik's-cube last layer edges Expert, and I am Burton... Each of the solution with the other side start with any pieces which are on the top layer either or... Step: position yellow corners correctly step 1: solve the entirety of the solution the second cross the... That the other three are wrong side to the 2nd step this beginner s. White pieces are on the U-face their sides are matching the centers on the bottom layer the here... We 're now ready to move on to the next one York City that Rubik! That we have that, notice that the other pieces next has 3 layers. face of color! Before moving on to the 2nd step in 3D space ( do n't worry if you not. To move on to the 2nd step the corner cubes of the steps individually a reduction method cross the...