The code’s architectural style intended for the diamond grid is simple and conventional, although precisely specified. The simplicity of it stems from its host grid which is not dualistic like the P-R grid in that NE-SW and SE-NW directions are indistinguishable relative to the polar alignment.
However, what diamond grid structures lack in complexity is compensated by the added steps in maneuvering its parts into position. To start, the celestial co-cube is positioned much like it is for P-R grid structures, i.e., via primary and secondary rotations.
But then the cube undergoes a 45° tertiary rotation about an axis spanning midpoints of foundation and opposing squares. From such position, the pattern of the co-cube is projected to earth where it guides floors, ceilings, and walls onto the pattern of the diamond grid.
To derive the roof, the cubodal shell (minus the cube) is spun about an axis passing through either pair of opposing vertices lying in a plane parallel to the skewed square. The rotation transpires until an edge aligns with the longitude of interest.
At this point the cuboda is the macrocosmic wheel. This then is rotated about its axis to locate the edge latitudinally. Next the wheel undergoes a hexagonal shift such that matching triangles slope from the edge that connects them.
A microcosmic representative of this arrangement, viewed at the ground, shows the paired triangles sloping at a pitch of 1: 2√2 ( ≈ 19°) which defines the pitch for roofs. Note the difference between this fixed tri-wing slope and the variability of tri-wing slopes characterizing the full CBS fusion in the P-R grid.
Viewed in profile, the roof’s isolated triangular pattern is extended to show how the roof tapers upward, with the end roof slope being 30°. Alas the result of all this maneuvering is a simple hip roof – although a highly specified one. Walls aligned to the triangular roof ridge are characterized by round windows to highlight the structure’s wheel-based nature.
The arrangement of the wall/roof pattern is easily chiseled from to suit the needs of a variety of applications. Indeed this is definitely the code’s most versatile style, being suited for realms beyond single or multiple unit residential purposes.
Its low slung extendible nature makes the style conducive to agricultural, industrial, commercial, transportation, and institutional functions. For that matter the pattern may easily be sculpted in the vertical direction in the construction of towers. Although transverse extension is limited, clusters of diamond grid structures are facilitated by marking off zones for them with 30° inter-grid juncture mounds centered at the corners.
Diamond grid embanking is also simple with the biggest distinction being the option of a 35° maximum slope waveform extending along ridge-paralleling walls to underscore the wheel’s dynamism. If rounded, this should be done with 55° mounds. 45° berms along the end wall possess an extra-terrestrial 35° angle and the slope to which may be fused the 35° inherent angle of the 19° default. Three quarter mounds keyed 35° or 30° serve as intra-or inter-grid junctures on outside corners respectively. Inside corner mounds are maxed at 60° to express the turn of the wheel’s leading edge common to 19° and 35° slopes.