Honeycomb one part per 2850) more efficient. This difference is too minute to measure on an actual honeycomb, and irrelevant to the hive economy in terms of efficient use of wax, considering wild comb varies considerably from any mathematical notion of "ideal" geometry. Bees used their antennae, mandibles and legs to manipulate the wax during comb construction, while actively warming the wax. During the construction of hexagonal cells, wax temperature is between 33.6 and 37.6°C, well below the 40°C temperature at which wax is assumed to be liquid for initiating new comb construction. The body temperature of bees is a factor
Order-5 cubic honeycomb and pentagonal prism cells, with an octahedron vertex figure. It is analogous to the 2D hyperbolic rhombitetrapentagonal tiling, rr{4,5}, with square and pentagonal faces: It is similar to the Euclidean (order-4) runcinated cubic honeycomb, t{4,3,4}: The runcitruncated order-5 cubic honeycomb or runcicantellated order-4 dodecahedral honeycomb , has cube, dodecahedron, and pentagonal prism cells, with a quad-pyramid vertex figure. It is similar to the Euclidean (order-4) runcitruncated cubic honeycomb, t{4,3,4}: The omnitruncated order-5 cubic honeycomb or omnitruncated order-4 dodecahedral honeycomb has Coxeter diagram . It is similar to the Euclidean (order-4) omnitruncated cubic honeycomb, t{4,3,4}: In 3-dimensional hyperbolic geometry, the alternated