Magic Hyperbeam - Aspects

Aspects

A hyperbeam knows 2n Aspectial variants, which are obtained by coördinate reflection ( --> ) effectively giving the Aspectial variant:

nB(m0..mn-1)~R ; R = k=0∑n-1 ((reflect(k)) ? 2k : 0) ;

Where reflect(k) true iff coördinate k is being reflected, only then 2k is added to R.

In case one views different orientations of the beam as equal one could view the number of aspects n! 2n just as with the magic hypercubes, directions with equal orders contribute factors depending on the hyperbeam's orders. This goes beyond the scope of this article.

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