Comment on How to Store Data on Paper?parentComments−CorrectHorseBat1yAdding 3 colors would make it base 5 (BW+rgb) and give log(5)/log(2) or about 2.3 times the information per dot.−LgWoodenBadger1y2 dots at 5 possibilities each gives 25 (5^2)2 dots at 2 possibilities each gives 4 (2^2)They only diverge from there. Or am I doing my math wrong?−CorrectHorseBat1yInformation is ~log(possible states) according to Shannon.Log(25)/log(4) is 2.3. Among other things this definition has the nice property that two disks/pages/drives/bits together contain the sum of the capacities instead of their product.−baobun1yTo expand if it helps intuition: As data data density grows, the largest representable number grows exponentially.
Comments
Adding 3 colors would make it base 5 (BW+rgb) and give log(5)/log(2) or about 2.3 times the information per dot.
2 dots at 5 possibilities each gives 25 (5^2)
2 dots at 2 possibilities each gives 4 (2^2)
They only diverge from there. Or am I doing my math wrong?
Information is ~log(possible states) according to Shannon.
Log(25)/log(4) is 2.3. Among other things this definition has the nice property that two disks/pages/drives/bits together contain the sum of the capacities instead of their product.
To expand if it helps intuition: As data data density grows, the largest representable number grows exponentially.