Magic Hypercube Calculator

Posted by Dinesh on

Online geometry calculator to calculate magic constant of the hypercube using simple magic hypercube formula.

The Universal Classification System for Hypercubes requires that for any dimension hypercube, all possible lines sum correctly for the hypercube to be considered perfect magic.

An associative square is a magic square in which ai,j + an+1−i,n+1−j = n2 + 1. Note that an associative semimagic square is magic; The definition extends to magic hypercubes: a hypercube a is associative if a+arev(a) is constant.

Calculate Magic Constant of the Hypercube

Formula:

M k = n · ( n k + 1 ) 2

where,
n = The number of directions within a hypercube
k = The number that denotes the order (k-dimensional)
Mk = Magic constant