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.
Read more about this topic: Magic Hyperbeam
Famous quotes containing the word aspects:
“The power of a text is different when it is read from when it is copied out.... Only the copied text thus commands the soul of him who is occupied with it, whereas the mere reader never discovers the new aspects of his inner self that are opened by the text, that road cut through the interior jungle forever closing behind it: because the reader follows the movement of his mind in the free flight of day-dreaming, whereas the copier submits it to command.”
—Walter Benjamin (1892–1940)
“I suppose an entire cabinet of shells would be an expression of the whole human mind; a Flora of the whole globe would be so likewise, or a history of beasts; or a painting of all the aspects of the clouds. Everything is significant.”
—Ralph Waldo Emerson (1803–1882)
“An atheist may be simply one whose faith and love are concentrated on the impersonal aspects of God.”
—Simone Weil (1909–1943)