Honey bee foundation is created by humans with three rhombi, which have a 3rd dimension, and which the bees draw out to form near hexagonal cells, with a slight slope/slant.

For naturally bee build honeycomb, starting from nothing, the bees create 2 different varieties of bases. One is with 3 rhombi, which gives the illusion of stacked cubes, which appear very similar to the TiniJet patterns.
The other base is with 2 hexagons, and two rhombi, and is theoretically slightly more efficient.

http://www.matematicasvisuales.com/english/html/geometry/rhombicdodecahedron/honeycombmin.html

The above link has some math formulas, to calculate the "energy" efficiency/ construction efficiency of theoretical honeycomb, with variable lengths and angles.

The hexagonal prism is an "extruded hexagon".

I still want to draw some of the papers designs in Moi!!! And the rhombicdodecahedron...
The paper's math takes some study...

- Brian

ps, I caught a swarm of honeybees at the end of August.