Because this post might seem a bit abstract and unconnected to anything on this 2012th Christmas, for balance I have included, at the end, a link to a most deeply touching story.
In the last post, the match between the real world Planet Earth and the ideal of the cuboda’s central sphere posed this sublime notion: In an infinite center-less universe, it is still one universe, and because it is one with a distinct beginning, an act of creation is suggested, with its Creator at the center of all.
A more tangible connection between our planet and the cuboda is that earth – like most all celestial bodies – is a spinning sphere with an axis of rotation. The next step in forming a conceptual model is determining how the cuboda is oriented relative to earth’s poles.
Toward this end, 4 different sets of opposing geometric elements that characterize the cuboda’s outer shell present themselves as candidates. They are opposing edges, squares, triangles, and vertices. Vertices represent the end points of 12 lines radiating from the cuboda’s natural center, and because these oppose each other exactly on either side of that center, the 12 lines are actually 6 with each transfixing the central sphere. As such any one line may be viewed as corresponding to earth’s axis.
So designated, the cubodal shell (or the anti-entropic thunderhead in its spherical manifestation) is viewed as spinning relative to a fixed earth sphere, such that any prime geometric element situated directly out from the equator can be positioned to any longitude, at any time. This natural maneuver is referred to as primary rotation. Only by assigning opposing vertices to coincide with the earth’s axis can all of the cuboda’s geometric elements be so fundamentally positioned.
To further locate the cuboda’s geometric elements – at any latitude of any longitude -imaginary axes are placed through the centers of all those opposing elements situated over the equator. Elements situated orthogonally (90˚) to them can then rotated about the equatorial axes in what are termed secondary rotations. If this seems irregular, one might look to how imaginary numbers are necessary to grapple with bsaic wave dynamics in the realm of physics.
Although imaginary axes may be centered through any pair of equatorially opposing elements, another reason for choosing opposing vertices to align with earth’s real poles is that this orients one (and only one) of the remaining 5 pairs of opposing vertices at the equator. Fixing the imaginary axis through these elements uniquely enables equatorial squares – and the edges and triangles longitudinally aligned to them – to be located latitudinally.
To recap, by the real and imaginary axes, primary and secondary rotations may locate all geometric elements universally. The ability to position elements in this manner is important in practice because each represents a particular pattern orientation having special applicability.
Such universality expresses the idea that all space/time positions are essentially equal, and thus reflects the more sublime parallel that every unique perspective represented by an individual soul is of equal value to the ultimate Creator of the one universe.
So much for abstraction. If you click on the graphic, you will be taken to a story I heard during the Christmas season years ago on NPR. Remembering it days ago, I got so choked up I could hardly describe it to a loved one.