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Can you fill all of the Great Lakes with M&M sized /64s?

By andy
Published on January 26th, 2010

Posted to my blog at the request of RobL !

On Nanog, Owen DeLong and Larry Sheldon were discussing the relative size of the IPv6 address space:

>> 64 bits is enough networks that if each network was an almond M&M,
>> you would be able to fill all of the great lakes with M&Ms before you
>> ran out of /64s.
> Did somebody once say something like that about Class C addresses?

Well, this seemed like a challenge for Maths, and the answer is:

No. There are only 2,097,152 Class C networks.

Assuming all M&Ms are spheroids of uniform oblate nature, radius major axis=6mm, minor axis=3mm. Volume is (4/3)Pi (Major²) Minor

They will be poured into a great lake of your choice, and we will assume random close packing (agitation mechanisms are probably best discussed off-list) and a (generous, but this Wikipedia article insists) void fraction of 32%.

Volume of m&m = 0.452cm³, occupies 0.665cm³.

Lake Erie is 484km³ – See: http://www.epa.gov/glnpo/factsheet.html

1 km³ = 1,000,000,000,000,000 cm³

484,000,000,000,000,000 * 0.665 = 321,860,000,000,000,000 m&ms needed to
fill this lake.

There are 4,294,967,296 /64s in my own /32 allocation. If we only ever use 2000::/3 on the internet, I make that 2,305,843,009,213,693,952 /64s. This is enough to fill over seven Lake Eries. The total amount
of ipv6 address space is exponentially larger still – I have just looked at 2000::/3 in these maths.

THE IPv6 ADDRESS SPACE IS VERY, VERY, VERY BIG.

Can we please now just go ahead and roll out some ipv6 services?

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