Now that the code has sallied into the design realms of shelter and land mobility (with rolling transport and cube-based abodes), their geometries are the first to be joined and, in the course of doing so, concepts abstracted expand the scope of transport template by enabling incorporation of polytechnic functionalities via polyhedral integration.

View the **gallery**** **for an intuitive sense of Part IV’s ideas, or study the **PDF** to understand the details of this most nitty gritty albeit necessary subject matter. This page of introduction is disintegrated into 4 sections, with underlined terms indicating **glossary** entries – also linked to from the navigation bar.

### Full Wheel-Abode Fusion – 1

To go beyond the simple architectural accommodation of rolling transporters made at the end of Part III, the earth-centered __macrocosmic wheel__ is positioned such that any “rim” edge situates directly above the location of the __cube-based abode__. Then the wheel’s dynamism is __neutralized__ so a pair of matching triangular “wings” share the edge – to be freed, juxtaposed, and adjusted to fit whichever CBA roof section.

After the wings are bisected flush with the supporting wall, the cross gable formed by the now triangle halves signifies a wheel port in which both roof and wall are engaged while manifesting latitude from a longitudinal perspective. That’s basically all there is to it, although a handful of options avail themselves for some flexibility such as roofs that *reflect* __celestial cube__ columns, without obscuring their projections.

### Linking Abstractions – 2

The full wheel-abode fusion entails the interaction of the square and triangle associated with CBA architecture and code template-guided transporters respectively; and in doing so, the roof fusing angles morph over the range of latitudes. In viewing such abstractly and suspending earth as the sphere projected over, the combination of fusing angles in which they equate is of prime importance.

As this unique circumstance constitutes a __tetrahedron__, recall that in the context of the __bode pattern__, it’s interfacing triangle also signifies that of an __octahedron__ – the simplest 3D form possessing both (external) triangles and (internal) squares. If thus viewed as a seed form subjected to a thought experiment in which a light source centers a sphere enveloping it, the sharp convergences of its triangles become the right angles of intersecting arced shadows to externalize the form’s inner geometry.

Transformation of the most basic plane types into the other via spherical projection is also expressed 2-dimensionally with the triangle viewed as a folded square, or the square as an expanded triangle – via intrinsic *circular* arcs. Such transformation and the fact of a square-only cube being inscribed by the triangle-only tetrahedron, qualifies the former as a universal link reinforced by the latter.

### Vector Re-orientations – 3

The value of the cube link is found in its ability to re-orient any of the 4 bode alignments in relation to *any* of the others it may join directly. A prime example of how the seemingly abstract cube link is applied practically entails incorporating a propulsive construct modeled by __bodal wheel__ geometry such that its axial vector aligns with the direction of a transport template-guided artifact. An equally valid incorporation reorients rotating constructs vertically as with radar, seeders, etc.

That is what a cube link does, but its bare form alone does not qualify it to function as link unless it sports the element common to any bode plane, however oriented. Corders of cube link intermediaries are thus required to center spheres which are in turn sectioned by their own planes as well as those of constructs interfaced. By adhering to the simple sensibilty of such a requirement, greater dispersal of forces is afforded in addition to safety, streamlining, and aesthetic benefits.

### Universal Linking – 4

Because the sphere (and circle) are intrinsic to or an aspect of code geometry, other linking intermediaries using them are viable. For example, a circular plate may intermediate orthogonal hexagonal planes, an option that enables vertical structure within the transport template. If hexagonal proportions are expressed rectangularly, vertical extensions of such enable constructs like doors, ship’s masts, and intermodal rectilinear storage modules to be incorporated.

Whether spheres or circles are centered on rectangular corners or intersections, their inclusion is essential to express commonality between constructs linked. Spheres centered on tetrahedral vertices can almost obscure the link’s form, or can be the links themselves to join variously oriented bode structures as with ball joints. Internally, spheres may link *any* bode orientation – as well as to non-code constructs. Lastly, cylindrical links may swing bode orientations about their common edges.

The 13-page **Polytechnic Integration PDF **provides a detailed treatment of the above subject matter for serious study, application, and reference.

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