magic constant
Given a magic square, magic cube, etc., the sum of any row, column or diagonal is called the magic constant of that magic square, cube, etc.
In the case of a standard magic square that uses the integers from 1 to , the magic constant is
while that for a magic cube is
We can then generalize to higher dimensions thus:
So, for dimension the magic constant is . For instance, a Franklin magic square () has magic constant .
In a trivial sense, an sudoku puzzle has a magic constant of .
Title | magic constant |
---|---|
Canonical name | MagicConstant |
Date of creation | 2013-03-22 16:24:57 |
Last modified on | 2013-03-22 16:24:57 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 5 |
Author | PrimeFan (13766) |
Entry type | Definition |
Classification | msc 05B15 |