Co-cube Break (Topic 3 of Cube-based Shelter)
For all the explanation into the cube's attribute of space-filling homogeneity, real world application requires the unifying parallelism between the prime Celestial Projection and its secondary co-cube to be broken.
Each cube serves a vital but very different purpose. To do this the secondary co-cube's positioning begins like that of the prime cube, undergoing primary rotation to the required longitude where it sets directly out from the equator.
But instead of projecting its pattern from there, the co-cube undergoes additional secondary rotation about the equatorial axis passing through the supporting cuboda's opposing equatorial vertices. Such rotation positions the co-cube directly out from a specified location's latitude, 30° N in the profile.
From there, a narrow column of the co-cube's pattern is extended from the very center of its earth-facing square (again viewed edge-on) such that it meets earth’s surface perpendicularly. Columnar planes parallel to the earth-facing square alight horizontally, from a ground view.
Column planes representing the co-cube's other 2 square orientations alight vertically: those viewed edge-on facing north and south; and those facing east, west and you (like the east/west facing planes of the prime cube projection).
The co-cube projection constitutes nothing more than precise specification of a familiar 3D rectilinearity much of the constructed world has long adopted; and in this precision, the 2 vertically alighting planes also coincide with the well established lines of latitude and longitude.
What this means is that the celestial co-cube projection conforms to earth’s most basic natural attribute of being a spinning sphere, and as such the projection's vertically alighting planes define the standard surface layout adopted by Geocentric Design Code: the polar-rotational grid oriented north-to-south and east-to-west, respectively, or simply the P-R grid.
The first form to take shape there explains the practical reason for breaking celestial cube unity with Architectural Reconstitution, topic 4 of Cube-based Shelter.
