Progress

Yes,...really....things are beginning to move forward with the hexaflex matrix/latticework.
An educational toy is the most advantageous application of Hexaflex.
Educational in the sense that for both children and adults it teaches a new spatial awareness based on the 120 degree geometry of the hexagon and the rhombic dodecahedron rather than the 90 degree geometry of the square and the cube.
Further, It would appear that this "toy", or what would be better described as  a "scientific three-dimensional modelling kit"  holds a few secrets.

After having the prototypes 3-dimensionally printed, I, at last, had in my hands the very essence of the geometry of all of the forms (Allotropes) that carbon can take. Diamond, graphite, graphene, Fullerenes, Buckyballs, Lonsdaleite, Nanotubes. With this modelling kit  I’m viewing it more as a better carbon molecular modeling kit.
Within the Hexaflex lattice, the hexagonal tile represents the carbon atom whilst the rectangular tiles represent the bonds between adjacent carbon atoms known as the Van de Waals forces of attraction. These forces bond the sheets of graphene together to make graphite.
The problem with the present ball and stick molecular modeling kit is that molecular systems with arbitrary angles cannot be built. In contrast this new form of modelling system is dynamic with complete freedom of movement. As a toy it provides a new experience in tactile handling.