And something in the message stream tried to convert my elegantly computed result into a phone number. Sigh. -mel
On Dec 20, 2017, at 1:39 PM, Mel Beckman <mel@beckman.org> wrote:
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Bill,
You are correct.
As a double check, I divided 340282366920938463463374607431768211456 by 4294967296, getting 79228162514264<tel:79%20228%20162%20514%20264>337593543950336<tel:337%20593%20543%20950%20336>, which is 28.8 orders of magnitude :)
-mel
On Dec 20, 2017, at 12:58 PM, William Herrin <bill@herrin.us<mailto:bill@herrin.us>> wrote:
On Wed, Dec 20, 2017 at 1:48 PM, Mel Beckman <mel@beckman.org<mailto:mel@beckman.org>> wrote: I won’t do the math for you, but you’re circumcising the mosquito here. We didn’t just increase our usable space by 2 orders of magnitude. It’s increased more than 35 orders of magnitude.
Hi Mel,
The gain is just shy of 29 orders of magnitude. 2^128 / 2^32 = 7.9*10^28.
There are 2^128 = 3.4*10^38 IPv6 addresses, but that isn't 38 "orders of magnitude." Orders of magnitude describes a difference between one thing and another, in this case the IPv4 and IPv6 address spaces.
Using a /64 for P2P links is no problem, really. Worrying about that is like a scuba diver worrying about how many air molecules are surrounding the boat on the way out to sea.
It's not a problem, exactly, but it cuts the gain vs. IPv4 from ~29 orders of magnitude to just 9 orders of magnitude. Your link which needed at most 2 bits of IPv4 address space now consumes 64 bits of IPv6 address space.
Then we do /48s from which the /64s are assigned and we lose another 3 or so orders of magnitude... Sparsely allocate those /48s for another order of magnitude. From sparsely allocated ISP blocks for another order of magnitude. It slips away faster than you might think.
Regards, Bill Herrin
-- William Herrin ................ herrin@dirtside.com<mailto:herrin@dirtside.com> bill@herrin.us<mailto:bill@herrin.us> Dirtside Systems ......... Web: <http://www.dirtside.com/>