This 3D-printing sculpture is based on a four-dimensional polytope called the 120-cell, consisting of 120 dodecahedra.
The geometry is a bit much to explain concisely here, but I have drafted a description of the algorithm.

Thie above rendering is intended to make clear that the design is very efficient in its use of triangles.

Here we are looking in one of its nice axial directions.
The idea behind the title is that if bees had five legs, maybe their homes would have five sides.