## Generalized Magic Objects

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Lets a Generalized Magic Object of order n be defined as:

^{n}G-Magic Object {f(x_{i})|g()}

n: The order of the object

with: G = IC, IR, IQ, IZ, IN

Object: Square, Cube, Tesseract ....

f(): number generating function

g(): 'magic condition'

The regular magic squares can be defined in terms of the above as

^{n}IN-Magic Squares {f(i) = i (i = 1..n^{2})|'sums' = magic number}

The p MultiMagic squares can be defined in terms of the above as

^{n}IN-Magic Squares {f(i) = i^{k} (i = 1..n^{2}; k = 1..p)|'sums' = magic number}

in the above examples 'sums' means of course all sums horizontally, vertically,

and along both diagonals

(the above defines p seperate magic squares)