In mathematics , a magic cube is your powerful square , that will is, numerous of integers arranged within a n x n times n pattern like how the cost belonging to the numbers on each one row, each and every column, each and every pillar as well as some principal room diagonals is add up to an individual number, the particular so-called miracle frequent on the cube, denoted M3(n). It can be revealed of which if your miraculous cube involves the numbers 1, 2, ., n3, then it's got wonder frequent (sequence A027441 )
If, with addition, your phone numbers with every single ideal miraculous cube ; otherwise, it is called a semiperfect wonder cube . The number n is termed that order belonging to the powerful cube. If your sums with volumes over a secret cube's pandiagonal cube .
Alternate definitionIn recently available years, a strong alternative distinction for that perfect wonder cube provides gradually receive use. It relies about the fact that a pandiagonal magic sq . has customarily been calledperfect, because all possible lines sum correctly. This is just not the truth with all the over explanation for any cube.
As in the case of wonder squares, a bimagic cube includes the particular more house with remaining your wonder cube while the entire entries are generally squared, your remains your wonder cube underneath both the surgical procedures associated with squaring the particular items and of cubing the particular entries. (Only two worth mentioning are known, adjusted 2005.) A remains a magic cube when the work are squared, cubed, and also raised on the fourth power.
Magic cubes depending on D rer's plus Gaudi Magic squaresA magic cube could be built with all the concern of your offered powerful square showing up on one associated with it is people Magic cube with all the miracle rectangle with D rer , and also Magic cube with the magic square connected with Gaudi
See alsoPerfect magic cube
Semiperfect miraculous cube
Magic tesseract
Magic hypercube
Magic cube class
Asymptotic magic hyper-tesseract
Nasik miraculous hypercube
John R. Hendricks
MathWorld: Magic Cube
Harvey Heinz: All concerning Magic Cubes
Marian Trenkler: Magic p-dimensional cubes
Marian Trenkler: An protocol to generate magic cubes
Marian Trenkler: On additive along with multiplicative secret cubes
Ali Skalli's miracle squares as well as secret cubes
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