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Topic: honeycombs
Replies: 9   Last Post: Jan 24, 2013 5:40 PM

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Martin Brown

Posts: 250
Registered: 12/13/04
Re: honeycombs
Posted: Jan 24, 2013 4:19 AM
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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



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