Magic Tesseract

In Mathematical, a magic tesseract is generalization Quadri-dimensionnelle of a magic square and a magic Cube, i.e., a whole number of arranged in a reason for form N × N × N × N such that the sum of the numbers on each axis X, each axis there, each axis Z, each axis K as well as the principal diagonals is equal to a single number, which one calls the magic Constante Tesséract, noted $M\_4\; (N)\; \backslash ,$. It can be shown that if a magic tesseract is consisted of numbers 1,2,…, $n^4\; \backslash ,$, then it has the magic constant (electronic Encyclopédie of the whole continuations (id=A021003)

$M\_4\; (N)\; =\; \backslash \; frac\; \{1\}\; \{2\}\; N\; (n^4+1)$

If, moreover, the numbers of each Plane section diagonal give also the magic constant of the tesseract, this one is called a perfect magic Tesseract; otherwise, it is called a semi-perfect magic Tesseract. The number N is called the order of the magic tesseract.

See too

• magic Hypercube

• Hypercube