If you want to solve the Rubik’s cube as quickly as possible, you need a cube that is designed for speed. These cubes have minimal friction between the layers and have high turning speeds.
There are several different types of algorithms available for solving the Rubik’s cube. These vary in terms of their number of needed moves, solving principle and popularity among cubers.
Roux
If you want to solve a Rubik’s cube as fast as possible, there are a number of methods that you can use. Some require very few algorithms and very little practice, while others require a lot of algorithms and lots of practice.
The fastest methods for speedcubing are those that have been proven to work at the highest levels of competition. These methods are usually divided into groups based on the number of needed algorithms, solving principle, or popularity among cubers.
Roux is one of the most popular and fastest Rubik’s Cube Algorithms for Speedcubing, and it’s an extremely efficient method to use if you’re just learning how to solve the Rubik’s Cube. The only drawback with this method is that it’s not suitable for beginners because you have to learn how to orient the edges properly.
The Roux method is best learned if you have a strong grasp of block-building. This will make it easier for you to learn the algorithmic step of forming the 3x2x1 blocks in the lower portion of the left layer. Once you’ve mastered this, it will be much easier for you to learn the other algorithmic steps of this method.
CFOP
The CFOP method (Cross – F2L – OLL – PLL) is one of the most popular methods used for speed cubing. It was originally developed by Jessica Fridrich in the 1980s, and has been widely adapted by speed cubers worldwide.
CFOP is a combination of block-building techniques and layer-by-layer solving algorithms. It requires a lot of practice to become fully mastered, but all top-ranked cubers worldwide use it today.
It is a very efficient solution, which makes it an excellent choice for cubers who wish to solve the Rubik’s Cube using as few moves as possible. However, it’s important to note that this approach also has its trade-offs.
First, it involves a large number of algorithms, each solving a unique permutation of the top layer in a single sequence. This can be tedious and time-consuming to memorize, but the fastest speedcubers have already memorized all 57 algorithms necessary for most configurations.
ZZ
There are a number of different methods that cubers can use to solve the Rubik’s Cube. These include basic methods, intermediate methods, and corner-first methods.
Basic methods are relatively simple and easy to learn, but they have a high move count and are hard to get fast times with. These methods are usually recommended for beginners who want to start solving the cube.
Intermediate methods are also popular, but have a much lower move count and are easier to get fast times with. They also tend to have a more intuitive style, making them harder to turn fast.
The most popular method used by speedcubers is the CFOP method (Fridrich), which involves solving the edges of the first layer and the corners of the second layer. This can be done with a variety of techniques, but the most common is to use algorithms.
Human Thistlethwaite
The Rubik’s cube has been a favourite with speed-cubing enthusiasts, and it’s an easy puzzle to “solve” by twisting the nine faces. But the number of twists needed to unscramble an arbitrary position is a mystery.
Thistlethwaite’s algorithm reduces the state of the Rubik’s cube to different groups, each one containing an optimal solution for a particular edge. Each group is searched through a quotient coset space that is the shortest path from each element in the original cube to its proper subgroup.
For each stage, a lookup table is used to show the best solution for a particular element in the group. Each table is sorted in a way that the elements in each stage are arranged according to their order in the quotient coset space, as shown below.
It is possible to use a breadth first search algorithm (BFS) to find the shortest route from the cube’s original state to its final state, but this approach is not feasible for large numbers of moves. Then it was necessary to develop an algorithm that searches for minimal solutions.
