With the advent of a common sphere and the inkling of pattern abstracted from the 6-sphere cluster derived by Rational Accretion, the form's construction is ready for the application of these developments.

With the pattern defined by the common edge of triangle/square relationship, and the role of the one common sphere advanced to that of a central one, sphere 7 is nested between it and the square cluster's left 2 spheres to form a new triangular cluster - and a new right angle suggestive of a new square.

Sphere 8 completes that square and the first line of 3 spheres. With completion of the new square, 4 opposing planes converge on one outer sphere point, with triangles alternating with squares. Spheres 9 and 10, similarly contacting the central sphere and following the square/triangle pattern, form a hexagonal cluster of (7) spheres.

On the back side of this arrangement, 6 deep-nesting vacancies pose 2 different choices for placement of 3 more spheres. By continuing to follow planar alternation with spheres 11, 12, and 13, the underlying form created is most commonly referred to as a cuboctahedron - henceforth shortened to cuboda for ease of conveyance.

One unique attribute of the cuboda is that distances between each outer sphere (center-point) and its 4 outer neighbors equal the distance to the center. What's more, if additional spheres follow the same pattern alternation, each sphere is potentially a central sphere surrounded by 12 exactly like the original 13.

In applying the special uniqueness of this idealized form to the real world, the central sphere is assigned to earth - the only sphere common to all life at all times, with outer spheres signifying a kind of anti-entropic thunderhead imparting bolts of pattern.

To expound on this, elements of the cubodal pattern are examined more closely before they undergo earthly positioning in Universal Location, topic 4 of Orientation.