Hot! Magic Cube

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In mathematics , a magic cube is your magic rectangle , in which is, numerous regarding integers fixed within a n x n x n habit such that this amount connected with the numbers on each one row, every column, every pillar as well as three main place diagonals can be add up to a single number, the so-called wonder regular on the cube, denoted M3(n). It can be revealed in which in case your magic cube consists belonging to the figures 1, 2, ., n3, after that there are miracle regular (sequence A027441 )

If, throughout addition, this amounts on every perfect magic cube ; otherwise, it's known as your semiperfect magic cube . The number n is identified as the order with the miracle cube. If the sums connected with figures for a secret cube's pandiagonal cube .

Alternate definition

In the latest years, a different distinction for any fantastic magic cube includes slowly receive use. It is founded on the fact that a pandiagonal miraculous rectangular possesses as a rule already been calledperfect, since most of likely outlines payment correctly. This will be not necessarily true considering the previously mentioned explanation for that cube.

As in the event that regarding powerful squares, your bimagic cube has the additional house associated with leftover your miraculous cube while the entire records usually are squared, some sort of remains a new miraculous cube underneath both the particular experditions with squaring the particular items plus of cubing your entries. (Only a couple worth mentioning are usually known, adjusted 2005.) A is still some sort of miracle cube once the records will be squared, cubed, as well as lifted for the fourth power.

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

A miracle cube is usually created when using the constraint of any granted magic block showing up on considered one of its faces Magic cube using the powerful square of D rer , and Magic cube while using miracle rectangular involving Gaudi

See also

Perfect wonder cube

Semiperfect secret cube

Magic tesseract

Magic hypercube

Magic cube class

Asymptotic powerful hyper-tesseract

Nasik secret hypercube

John R. Hendricks

MathWorld: Magic Cube

Harvey Heinz: All with regards to Magic Cubes

Marian Trenkler: Magic p-dimensional cubes

Marian Trenkler: An algorithm for making miracle cubes

Marian Trenkler: On component as well as multiplicative magic cubes

Ali Skalli's magic squares and secret cubes

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