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 happiest two-job marriages I saw during my research were ones in which men and women shared the housework and parenting. What couples called good communication often meant that they were good at saying thanks to one another for small aspects of taking care of the family. Making it to the school play, helping a child read, cooking dinner in good spirit, remembering the grocery list,... these were silver and gold of the marital exchange.”
—Arlie Hochschild (20th century)
“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)
“All the aspects of this desert are beautiful, whether you behold it in fair weather or foul, or when the sun is just breaking out after a storm, and shining on its moist surface in the distance, it is so white, and pure, and level, and each slight inequality and track is so distinctly revealed; and when your eyes slide off this, they fall on the ocean.”
—Henry David Thoreau (1817–1862)