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An example of a 3 × 3 × 3 magic cube. In this example, no slice is a magic square. In this case, the cube is classed as a simple magic cube.. In mathematics, a magic cube is the 3-dimensional equivalent of a magic square, that is, a collection of integers arranged in an n × n × n pattern such that the sums of the numbers on each row, on each column, on each pillar and on each of the four ...
The smallest perfect magic cube has order 8, and none can exist for double odd orders. Gabriel Arnoux constructed an order 17 perfect magic cube in 1887. F.A.P.Barnard published order 8 and order 11 perfect cubes in 1888. [6] By the modern (given by J.R. Hendricks) definition, there are actually six classes of magic cube; simple magic cubes ...
Rubik applied for a patent in Hungary for his "Magic Cube" (Hungarian: bűvös kocka) on 30 January 1975, [4] and HU170062 was granted later that year. The first test batches of the Magic Cube were produced in late 1977 and released in toy shops in Budapest. Magic Cube was held together with interlocking plastic pieces that prevented the puzzle ...
In 1979, a Hungarian inventor, Erno Rubik, pitched his "Magic Cube" to Ideal Toy Company, who renamed it the "Rubik's cube." [14] [15] [16] The toy was sold in stores beginning in 1980. [14] Ideal had earnings of $3.7 million in fiscal year 1979–1980, but lost $15.5 million in fiscal year 1980–1981.
for the 3-cube is rotations of a 2-polytope (square) in 2-space = 4; for the 2-cube is rotations of a 1-polytope in 1-space = 1; In other words, the 2D puzzle cannot be scrambled at all if the same restrictions are placed on the moves as for the real 3D puzzle. The moves actually given to the 2D Magic Cube are the operations of reflection.
DaYan Cube [3] Commercial DaYan is known for the Dayan Zhanchi. Although obsolete today, the cube was the first to use a "torpedo" design within its pieces. This prevented the cube from popping and corner twisting. Nearly every speed cube in existence today uses this design. Eastsheen Commercial GANCube: GANCube [4] Commercial
An example of a 3 × 3 × 3 simple magic cube. A simple magic cube is the lowest of six basic classes of magic cubes. These classes are based on extra features required. The simple magic cube requires only the basic features a cube requires to be magic. Namely, all lines parallel to the faces, and all 4 space diagonals sum correctly.
The smallest normal pantriagonal magic cube is order 4; see Pantriagonal magic cube. Minimum correct summations required = 7m 2. All pan-r-agonals sum correctly for r = 1 and 3. PantriagDiag: A cube of this class was first constructed in late 2004 by Mitsutoshi Nakamura. This cube is a combination pantriagonal magic cube and diagonal magic cube.
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