Hot! Magic Cube

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In mathematics , a magic cube is the wonder square , which is, numerous integers specify throughout a new n x n x n style like the fact that quantity of the numbers on each row, each column, every pillar plus the some primary area diagonals will be equal to a solitary number, the so-called magic regular from the cube, denoted M3(n). It is often proven that that a powerful cube features the amounts 1, 2, ., n3, in that case they have magic continual (sequence A027441 )

If, in addition, your volumes on each perfect powerful cube ; otherwise, it can be referred to as some sort of semiperfect powerful cube . The range n is termed the obtain in the wonder cube. If the actual sums with numbers on a magic cube 's pandiagonal cube .

Alternate definition

In recent years, an alternate description for the great magic cube includes progressively receive use. It is founded on the fact a pandiagonal miraculous rectangular features traditionally been recently calledperfect, due to the fact all probable lines sum correctly. This just isn't possible using the previously mentioned meaning with the cube.

As in the event that connected with magic squares, a bimagic cube includes the additional home associated with remaining a miraculous cube while all the entries tend to be squared, a remains a secret cube less than both procedures of squaring the particular entries in addition to of cubing the actual entries. (Only not one but two associated with they are known, at the time of 2005.) A continues to be a wonder cube once the entries tend to be squared, cubed, or elevated towards the next power.

Magic cubes dependant on D rer's and Gaudi Magic squares

A magic cube can be offering the actual concern of a granted powerful sq . showing up with one associated with it's looks Magic cube considering the secret square regarding D rer , along with Magic cube using the wonder square of Gaudi

See also

Perfect powerful cube

Semiperfect miraculous cube

Magic tesseract

Magic hypercube

Magic cube class

Asymptotic miraculous hyper-tesseract

Nasik wonder hypercube

John R. Hendricks

MathWorld: Magic Cube

Harvey Heinz: All with regards to Magic Cubes

Marian Trenkler: Magic p-dimensional cubes

Marian Trenkler: An criteria in making wonder cubes

Marian Trenkler: On additive in addition to multiplicative magic cubes

Ali Skalli's miraculous squares and secret cubes

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