If the circulation period is a constant, the cycle is periodic. The circulation period is the number of times the Rubik’s Cube is rotated. Īssuming that Rubik’s Cube is operated by certain number operations and specified operations from the original state back to the original state again, this means the Rubik’s Cube achieves a cycle. The cycle characteristic of operation can be divided into two categories: periodic and nonperiodic. If using an arbitrary operations sequence (rotation sequence) to operate the cube cyclically, it will achieve cycle status. Cycle CharacteristicĬirculation is one of the basic characteristics of Rubik’s Cube. The characteristics of combination and transformation inspire product design thinking, and have practical application value especially in industrial product modularization and structural design. The transformation among different configurations of Rubik’s Cube can be used as a mode that uses the idea of permutation and combinations to pursue the diversity of answers. The n-order magic square is a certain configuration formed by a combination of numbers 1, 2, 3, …, n 2 in an n-order square, which makes the sum of the numbers in each row, column, and two diagonal lines \(n(n^ = 4 3 2 5 2 0 0 3 2 7 4 4 8 9 8 5 6 0 0 0$$ Jiugong map is a zero-dimensional third-order cube. The application prospects of Rubik’s Cube have been discussed according to its rotation characteristics. On the other hand, scholars began to explore the inner movement principles of the Rubik’s Cube structure. All in all, the principles of Rubik’s Cube are contained in numerous scientific systems that involve permutations and combinations, symmetries, and cyclicality. On the one hand, the Rubik’s Cube structure has several features such as rotation, permutation and combinations, and cycle and symmetry, which were treated as physical models or tools to study specific scientific issues or were studied by using scientific theory or methods in some areas. It not only attracts Rubik’s Cube enthusiasts conducting research into Rubik’s Cube reduction algorithms but also draws the attention of scientists and technical workers from various walks of life for its sophisticated design and ideas. It won a German Game of the Year special award and won similar awards for best toy in the UK, France, and the US.Īlthough the Rubik’s Cube reached its height of mainstream popularity in the 1980s, it is still widely known and used. Additionally, it is widely considered to be the world’s best-selling toy. Rubik’s Cube is listed as one of the 100 most influential inventions during the 20th century. This invention caused the widespread interest in the world owing to its unique characteristics, which exerted a profound impact on mankind. Rubik’s Cube is a 3D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik and was originally called the Magic Cube. Finally, the applications and prospects of Rubik’s Cube in the field of mechanism are discussed. After that, the present researches of Rubik’s Cube are reviewed in various disciplines at home and abroad, including the researches of Rubik’s Cube scientific metaphors, reduction algorithms, characteristic applications, and mechanism issues. First, the invention and origin of Rubik’s Cube are presented, and then the special characteristics of the cube itself are analyzed. This paper provides a basic understanding of the Rubik’s Cube and shows its mechanical art from the aspects of origin and development, characteristics, research status and especially its mechanical engineering design, as well as making a vision for the application in mechanism. As a classic brain-training toy well known to the public, Rubik’s Cube was used for scientific research and technology development by many scholars. Rubik’s Cube is a widely popular mechanical puzzle that has attracted attention around the world because of its unique characteristics.
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