Perhaps Keira's daddy did not understand her request. Postulate that she actually wants "story" as in "tale". The 1948 film noir "The Naked CIty"
ends with the line "There are eight million stories in the naked city. This has been one of them." Perhaps she merely wants a building that will hold a billion people with one story each. At 200m2
per person (with passageways), 100 stories high, that is a 45 by 45 kilometer building.
Or perhaps she just wants the stories, sans people, as movies on DVD. One DVD disk in a standard case is about 400cm3
. A billion cases could be jammed into 400,000 cubic meters, about 40% of the volume Empire State Building. For Keira to access
to her vast DVD collection, we will need aisles and shelves low enough for her to reach, and ceilings tall enough for Daddy. So, assume aisles on 1.5 meter centers, 5 shelves high, and 3 meters between floors. At 1.5 cm per DVD width, that is about 7,000,000 cubic meters, half the volume of the Boeing 787 assembly hangar at Everett, Washington, the largest building in the world.
If we store the movies on hard disk, 1000 movies in 6TB in 400 cm3
, Daddy can pack the drives pretty dense because only one needs to be powered at a time. At 2.5 million movies per cubic meter, that is only 400 cubic meters, about 200 square meters of floor space stacked two meters high. They would fit in my house - though their weight would collapse the floor.
By the time Keira reaches adulthood, we will routinely store information in DNA. George Church's book "Regenesis" has been coded in DNA, and he duplicated 70 billion copies, three times as many copies as the 100 most popular books of all time. At 2E21 bits per gram, and a DNA density of 1.7, the 48E18 bits of all those movies would fit in about 15 cubic millimeters, Barbie's teacup.
Maybe Keira will want a building containing a quintillion stories by that time - a long trillion for you ancient Brits.