/jp/ - Otaku Culture

>>12733059
The radius of the observable universe is estimated at 45.7 billion light years.
A light year is 9.46E14 meters, so 4/3 pi r cubed of that gives us a volume of the observable universe of 3.55E45 cubic meters.
Now, say your average wizard - being a sedentary creature who enjoys his meats - weighs 85kg. The human body is approximately the same density as water, so the volume of space he takes up is 0.085 meters cubed.
Wizards don't tesselate well, so let's round this up to 0.1 meter cubed.
That means we require 3.55E46 - or thirty-five million, billion, billion, billion, trillion wizards to fill up the observable universe.

Now, let's think about rate-of-summoning. Assume that the wizard-summoning ritual is pretty fast; he just snaps his fingers and *boop*, another wizard, fully functional. I dunno, maybe it takes a second.
At t=0, there's just the one wizard. At t=1, he's summoned a friend. At t=2, they've each summoned another wizard, so 4 in total. Then 8. Then 16. It's bog-standard exponential growth, where the number of wizards Nw = 2^t.
Since we know we need Nw=3.55E46, just take the logarithm to get the time required.
ln(3.55E46) = ln(2^t) = t*ln(2).
ln(3.55E46)/ln(2) = t
t = 154.6 seconds.

And that, boys and girls, is the power of exponential growth.
A wizard wizard could fill up the observable universe in less than 3 minutes.

>Monstergirls, do your part for the safety and integrity of space-time! Help prevent the scourge of wizardry by sexing a virgin humanboy TODAY!
>The Demon Lord