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:
“That anger can be expressed through words and non-destructive activities; that promises are intended to be kept; that cleanliness and good eating habits are aspects of self-esteem; that compassion is an attribute to be prized—all these lessons are ones children can learn far more readily through the living example of their parents than they ever can through formal instruction.”
—Fred Rogers (20th century)
“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)
“The North American system only wants to consider the positive aspects of reality. Men and women are subjected from childhood to an inexorable process of adaptation; certain principles, contained in brief formulas are endlessly repeated by the press, the radio, the churches, and the schools, and by those kindly, sinister beings, the North American mothers and wives. A person imprisoned by these schemes is like a plant in a flowerpot too small for it: he cannot grow or mature.”
—Octavio Paz (b. 1914)