Order-4 dodecahedral honeycomb and order-4 hexagonal tiling honeycomb all which have octahedral vertex figures: This honeycomb is a part of a sequence of polychora and honeycombs with dodecahedral cells: The rectified order-4 dodecahedral honeycomb, , has alternating octahedron and icosidodecahedron cells, with a cube vertex figure. There are four rectified compact regular honeycombs: The truncated order-4 dodecahedral honeycomb, , has octahedron and truncated dodecahedron cells, with a cube vertex figure. It can be seen as analogous to the 2D hyperbolic truncated order-4 pentagonal tiling, t{5,4} with truncated pentagon and square faces: The bitruncated order-4 dodecahedral honeycomb, or bitruncated order-5 cubic honeycomb, , has
Wax foundation Wax foundation Wax foundation or honeycomb base is a plate made of wax with the base of the honeycomb. It is used in beekeeping to give the bees a foundation on which they can build the honeycomb. Wax foundation is considered one of the most important inventions in modern beekeeping. Wax foundation was invented by German Johannes Mehring in 1857, a few years after Langstroth designed and patented the Langstroth hive on October 5, 1852. Mehring's wax foundation had only the bottom of the cells, and today's base with the foundation of the cells was invented by US beekeeper Samuel