Show mathematically that among triangle, square and hexagon, the maximum efficiency in building honeycombs is if it follows a hexagonal shape, i.e. assuming the same perimeters, the hexagon has the biggest total area, as the ratio of the total areas will be approximately 0.048, 0.063 and 0.072, respectively.
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.