Tutte–Berge formula: Difference between revisions
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[[Image:Simple Magic Cube.svg|thumb|right|An example of a 3 × 3 × 3 simple magic cube.]] | |||
A '''simple magic cube''' is the lowest of six basic classes of [[magic cube]]. 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 triagonals sum correctly. i.e. all 1-agonals and all 3-agonals sum to | |||
:<math>S = \frac{m(m^3+1)}{2}.</math> | |||
No planar diagonals (2-agonals) are required to sum correctly, so there are probably no magic squares in the cube. | |||
== See also == | |||
* [[Magic square]] | |||
* [[Magic cube]] | |||
* [[Magic cube classes]] | |||
== External links == | |||
* [http://www.magichypercubes.com/Encyclopedia/index.html Aale de Winkel - Magic hypercubes encyclopedia] | |||
* [http://members.shaw.ca/hdhcubes/ Harvey Heinz - large site on magic squares and cubes] | |||
* [http://multimagie.com/indexengl.htm Christian Boyer - Multimagic cubes] | |||
* [http://members.shaw.ca/johnhendricksmath/ John Hendricks site on magic hypercubes] | |||
[[Category:Magic squares]] | |||
Latest revision as of 02:49, 29 April 2013
A simple magic cube is the lowest of six basic classes of magic cube. 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 triagonals sum correctly. i.e. all 1-agonals and all 3-agonals sum to
No planar diagonals (2-agonals) are required to sum correctly, so there are probably no magic squares in the cube.