Worker bees meticulously creating honeycomb structures, showcasing their synchronized efforts in the hive

SOLVED:Bees build honeycomb structures out of cells with a hexagonal base and three rhombus-shaped faces on top, as in Figure 23 . We can show that the surface area of this cell is A(θ)=6 h s (3)/(2) s^2(√(3) cscθ-cotθ) with h, s, and θas indicated in the figure. Remarkably, bees "know" which angle θminimizes the surface area (and therefore requires the least amount of wax). (a) Show that θ≈ 54.7^∘ (assume h and s are constant). Hint: Find the critical point of A(θ) for 0<θ<π

Honeycomb Metal Structures

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3D Honeycomb Art