In extending the procedure of Shelter/Transporter Fusion, the next 2 topics get somewhat nitty-gritty, but this is necessary for the incorporation of various functionalities into the transport template.


The fusion formula used to determine full wheel/house integration cranks out an interesting and unique result upon setting ɸ equal to Θ. When solved for one angle, that result is 55˚. This means that triangular wings need to be spread 55˚ when fusing to a plane sloping at 55˚.


The form delineated by this condition is in essence the tetrahedron. Upon its initial formation in the cuboda's construction, the principle of orthogonality could have been abstracted from it in 2 ways, depending on which
edge precedes the other, either way characterized by central right angles and bounded by squares transposed 3 dimensionally.


Approaching this relationship from the opposite direction, a tetrahedron is formed by diagonalizing a cube's 6 square faces. This too may be done in 2 ways and so done the cube is strengthened maximally and symmetrically by the minimal, most simple of reinforcements.


As the cube also constitutes the most economical expression of all space dimensions, it may also serve, in theory, as a kind of universal orthogonalizer directly linking all 4 prime cubodal orientations by interfacing squares and triangles as enabled by the reasoning of planar resolution. In the diagram, edge, vertex, square, and triangle "up" orientations are depicted, with vertices facing outward toward you in each case.


The importance of orthogonalizing cubodal orientations is that this imbues the transport template with the potential of incorporating design components that require re-orientation of cubodal wheel axes, such as required by mechanical, fluid dynamical and, electrical functionalities represented by artifacts ranging from radar, turbines, drive shafts, and propellers to steering wheels, swivels, and combine threshing cylinders, etc.


To effect these theoretical integrations in practice, the cube is attended by simple, practical, and aesthetic enhancements to make them viable in Link Configurations, topic 4 of Polytechnic Integration.