Re: Geometry too
They also construct regular hexagons, apparently without a ruler and compasses.
If you place a uniform heat source underneath a layer of viscous fluid, it will often generate hexagonal "Rayleigh–Bénard convection cells". You also often get hexagonal prisms when lava cools or a colloid dries out. (Think Giant's Causeway.)
I'm not saying bees aren't smart - the expermient described demonstrates that they are pretty clever - but regular geometric shapes do not necessarily require drawing tools or imply intelligent design.
Neither does the evolution of eyeballs in case there are any fundies reading this! ;-)