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Magic hypercube
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===Aspects=== A hyperbeam knows '''2<sup>n</sup>''' Aspectial variants, which are obtained by coördinate reflection ([<sub>k</sub>i] → [<sub>k</sub>(-i)]) effectively giving the Aspectial variant: <sup>n</sup>B<sub>(m<sub>0</sub>..m<sub>n-1</sub>)</sub><sup>~R</sup> ; R = <sub>k=0</sub>Σ<sup>n-1</sup> ((reflect(k)) ? 2<sup>k</sup> : 0) ; Where reflect(k) true if and only if coordinate k is being reflected, only then 2<sup>k</sup> is added to R. In case one views different orientations of the beam as equal one could view the number of aspects '''n! 2<sup>n</sup>''' 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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