Hot! Magic Cube

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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 definition

In 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 squares

A 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 also

Perfect 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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