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Re: honeycombs
Posted:
Jan 24, 2013 4:19 AM


On 23/01/2013 22:22, RichD wrote: > On Jan 21, Martin Brown <newspam...@nezumi.demon.co.uk> wrote: >>> I saw a news item about a new technique to draw CO2 from >>> the atmosphere. It's a chemical process, using amines, >>> which binds with the molecule, coated on a large structure, >>> in the shape of a honeycomb. >> >>> According to the story, this maximizes surface area. >>> ok, mathematicians, which function gets optimized by a >>> honeycomb? What are the constraints and assumptions? >> >> 2D problem to *minimise* the surface area to occupy a given volume. Bees >> use it to make honeycomb with the least amount of wax. >> >> It is not difficult to show that the angle between sides must be 120 >> degrees and that equal lengths minimise total length/area occupied. >> >> They have the structure just about as wrong as it is possible to be >> unless the stuff they are making it out of is extremely precious. > > ?
Had to look up the Honeycomb conjecture  it was finally proved in 1999 by Hales see Mathworld. Later than I thought  it always seemed likely.
http://mathworld.wolfram.com/HoneycombConjecture.html
 Regards, Martin Brown



