Speedcubing is more than just solving a cube – it’s an art that revolves around mastering specific algorithms. These standardized movement sequences form the backbone of every fast solve and make the difference between a casual puzzler and a true speedcuber. For beginners, the world of algorithms can seem overwhelming, but learning the right basic algorithms opens the door to significantly faster times.

Whether you’re just starting with speedcubing or want to refine your techniques, these ten essential algorithms form the foundations that every cuber must master. From the opening move to the final turn – each algorithm has its unique role in creating a smooth, efficient solve.

Why algorithms are the foundation of speedcubing

Algorithms eliminate guesswork and replace intuitive movements with proven, optimized sequences. Where beginners often spend minutes figuring out the next step, experienced speedcubers can directly execute the right movement sequence thanks to muscle memory. This automatism is crucial for achieving consistent, fast times.

The power of algorithms lies in their predictability and efficiency. Every situation on the cube has an optimal solution, and by learning to recognize and automatically execute it, you transform from a puzzler who thinks to a speedcuber who reacts. This foundation makes it possible to shift your focus from what you need to do to how you can do it faster.

Cross algorithm for a strong start

The cross algorithm lays the foundation for every successful solve by creating a plus-shaped pattern on the bottom layer. This opening often determines the speed of your entire solve, because an efficient cross directly affects the F2L pairs that follow. Good speedcubers can complete their cross in four to eight moves.

The key to a fast cross lies in planning and looking ahead. Instead of randomly placing edges, you analyze which pieces are already well-positioned and build upon them. A well-planned cross ensures that your F2L pairs remain easily accessible, saving precious seconds in later phases of the solve.

F2L pairs for a fast second layer

First Two Layers (F2L) algorithms combine solving corners and edges in one movement sequence, allowing you to complete the first two layers simultaneously. This method is significantly faster than the traditional layer-by-layer system and forms the core of the CFOP method used by most competitive speedcubers.

F2L requires recognizing 41 different cases, but you don’t need to memorize all algorithms. Many speedcubers develop intuitive F2L skills by recognizing patterns and applying logical movement sequences. Mastering the most common 15 to 20 cases already yields enormous speed gains.

OLL algorithms for last layer orientation

Orientation of the Last Layer (OLL) algorithms ensure that all stickers on the top layer show the same color, regardless of their position. With 57 different cases, OLL seems intimidating, but most speedcubers start with the essential seven algorithms that cover the most common situations.

The power of OLL lies in one-step orientation, instead of the traditional two-step process: first making a cross and then orienting the corners. By jumping directly to the correct orientation, you eliminate intermediate steps and create a smoother transition to the PLL phase. Focus first on recognizing patterns before automating the algorithms.

PLL algorithms for last layer permutation

Permutation of the Last Layer (PLL) algorithms move the correctly oriented pieces of the last layer to their final positions. These 21 algorithms complete the CFOP method and are essential for sub-20-second times. PLL cases are usually easily recognizable by their characteristic patterns on the top layer.

Learning PLL algorithms requires a strategic approach. Start with the fastest and most common cases, such as T-perm, Y-perm, and the various J-perms. These six algorithms cover approximately 40% of all PLL situations. As you become more comfortable, gradually add the more complex cases until you master the complete repertoire.

T-perm and Y-perm for daily use

T-perm and Y-perm are the workhorses of the PLL algorithms, because they occur frequently and are relatively fast to execute. T-perm swaps three corners and is recognizable by the T-shaped pattern on the top layer, while Y-perm performs a diagonal corner swap with a characteristic Y pattern.

These algorithms are perfect for beginners because they have clearly recognizable patterns and consist of logical movement sequences. T-perm can be executed in about 1.5 seconds by advanced cubers, while Y-perm takes slightly longer but is equally crucial. Mastering just these two algorithms significantly improves your average times.

Sune algorithm for corner orientation

The Sune algorithm is one of the most fundamental movement sequences in speedcubing and is used to orient corners on the last layer. With the movement sequence R U R’ U R U2 R’, it’s easy to remember and forms the basis for many other algorithms. Sune appears in virtually every solve and is therefore indispensable.

The versatility of Sune makes it extra valuable. Besides the basic application for corner orientation, it serves as a building block for more complex algorithms and can be applied from different angles. By fully automating Sune, you lay a solid foundation for learning more advanced OLL cases.

Sexy move for universal applications

The “Sexy Move” (R U R’ U’) is perhaps the most used algorithm in speedcubing. This sequence of four movements forms the core of countless other algorithms and is used in virtually every phase of the solve. It owes its name to the smooth, rhythmic movements that feel pleasant during cubing.

The importance of the Sexy Move extends far beyond direct applications. It serves as finger exercise, helps develop muscle memory, and forms the basis for understanding cube mechanics. By perfecting this movement sequence, you automatically improve your execution of dozens of other algorithms that contain this sequence.

J-perm variants for corner permutations

J-perm algorithms come in two main variants (Ja and Jb) and belong to the fastest PLL cases to execute. These algorithms swap three corners and are recognizable by their J-shaped patterns on the top layer. With good fingertricks, J-perms can be completed in less than a second.

The two J-perm variants are mirror images of each other, which makes learning easier once you master one. Ja-perm is often the first PLL that speedcubers learn because of the natural movement flow, while Jb-perm has a similar but mirrored execution. Together, these algorithms cover approximately 18% of all PLL cases.

Anti-Sune for opposite orientations

Anti-Sune is the mirror image of the regular Sune algorithm and is executed as L’ U’ L U’ L’ U2 L. This algorithm solves the opposite corner orientations that Sune cannot handle. Together, Sune and Anti-Sune form a complete system for basic corner orientation on the last layer.

Learning Anti-Sune after Sune is a logical progression, because the movement patterns are similar but mirrored. This algorithm is essential for the two-look-OLL system that many beginners use before switching to full OLL. The combination of both algorithms covers all basic corner orientations.

H-perm for swapping edges

H-perm is a symmetric algorithm that swaps opposite edges on the last layer without affecting the corners. It’s recognizable by the H-shaped pattern that occurs when two sets of opposite edges need to swap places. This algorithm is relatively simple to learn but crucial for complete PLL knowledge.

The symmetric nature of H-perm makes it one of the more intuitive PLL algorithms to understand and execute. Although it’s not the fastest PLL case, it occurs regularly and is good practice for developing ambidextrous fingertricks. Mastering H-perm effectively rounds out your basic PLL knowledge.

From algorithms to fast solve times

Learning these ten algorithms is just the beginning of your speedcubing journey. Real progress comes through consistent practice, developing muscle memory, and gradually expanding your repertoire with more advanced algorithm sets. Focus on quality over quantity – it’s better to master ten algorithms perfectly than to execute fifty algorithms sloppily.

As you automate these basic algorithms, you can shift your attention to lookahead, cross planning, and advanced techniques. A solid foundation in these essential algorithms makes the transition to more advanced methods, such as ZBLL, COLL, or alternative speedcubing systems, much more accessible. At speedcube you’ll find the right cubes to perfect your new skills and further improve your times.