The triangularity of the cubodal disc orientation requires special grid accommodation before architectural alternatives of circular-based familiar forms may be applied in their full range of possibilities.


Before looking at a certain class of such forms, a way of accommodating all the cubodal prism-keyed versions expressing them necessitates dealing with the disc orientation's hexagonal base, which is at geometric odds with the rectilinearity of both grids.


From a top view of the grid layout,
the circular commonality characterizing grid junctures proffers a 2D base in which the disc-oriented artifact may be logically and harmoniously set - in either of its

longitudinal or latitudinal orientations come to by secondary rotation.


To integrate the disc 3-dimensionally, a 2-part ring configuration is devised. The outer ring signifies the grid domain in keying the juncture's established 30° maximum slope to a half wave assigned to it. A concentric inner ring commences inside the outer wave's crest with a waveform keyed to either the 55˚ or 70˚ disc angles, and directed either upwardly or downwardly to a flat circular pad.


This scheme provides a geometric foundation for most remaining applications, starting with a class of circular based forms. They are made code consistent by locating the horizontally-oriented ring whose tangent reflects the specified cubodal angle from the set of 7 (plus 90˚ and the 7 negatives). In this class of forms are spheres, which so segmented form domes. Other forms in this class include toroids and paraboloids which possesses physically meaningful attributes such as defining curves that focus parallel lines to a single point.


A 24-point perimeter scheme that reflects triangles based on all grid edges poses a universal support option which is also applicable to the category of Code-keyed Structures, topic 2 of Extra-topographic Guidelines.