Hexagons are made of 6 embedded rhombuses. The Rhombic dodecahedron Has twice the number of rhombuses as the hexagon has yet those rhombuses are its exterior boundary. The exterior boundary of a hexagon is a flat line.
So, might there be an expansion sequence for these hidden-rhombus-like geometries and their resultant honeycomb-composite-forms, to arbitrary dimensions?
I have a practical motivation to find this hypothetical sequence as it could aid in the creation of cellular/rasterized plots and figures or models which do not suffer from the disproportionate distances of cube and square based raster cells.