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462 No. 462
So I was reading a math comic when i had a weird idea.

The set up is like this:
Suppose you have some very large data storage device, where were gonna store every possible video of a fixed finite length, with a fixed finite resolution and a fixed finite frame rate.

We will choose our frame rate and resolution to be such that both are beyond what humans can detect(i.e. a one pixel change or a one frame change are not detectable to the unaided eye. So say 60 frames per second and microscopic pixels.)

Now if I were to go to each planet in the universe and film it in this way then that video, being a possible video would be contained in my box. And no matter how i film this planet (from space, from the surface, infrared, etc) that video is a possible video and hence is contained in my box.

Now, suppose there are infinitely many planets in the universe. If i try to match each video to the place where it was filmed (if it is a filmable video) then by the pigeonhole principle, since there are only finitely many videos, at least one video must correspond to infinitely many planets. But the videos match what human eyes can detect.
So if there are infinitely many planets, to human eyes infinitely many of them look identical.

Any obvious problems?
>> No. 463
I honestly don't see where you're going with this.

We film planets and people confuse them?
>> No. 464
>>51
Basically that if someone went from planet to planet in some nonrepeating order, eventually they would encounter a planet that was identical to one they had already seen regardless of how they tried to tell them apart, provided their tests could be shown visually.
>> No. 465
>>52

No, there's a finite quantity of planets in the known universe. There are probably lots of similar ones though, like featureless gas giants that are the same colour. However, there'd be different starfields in the background, they'd be different sizes, different satellites, different ambient light levels, including spectral and radiance differences.
>> No. 466
>>53
I mean the universe in general.
It is not known whether it's finite or not. I'm just saying that if it is infinite then it must also be strange in this particular way.
>> No. 467
The number of possible iterations of a 5 minute video @ 24fps in 420p (848x420).

So we first have the gamut of colour, let's assume we're stuck in the 20th century and still use web colours because I'm a lazy asshole.

Now web colours come in hex triplets, #FFFFFF for example, is white, while #000000 is black.

now since the largest 6 digit hex number is FFFFFF, that is how many possible variations we can have on one pixel.

Now we convert FFFFFF into decimal.

FFFFFF = 15*16^5 + 15*16^4 + 15*16^3 + 15*16^2 + 15*16^1 + 15*16^0 = 16,777,215 colours


Since our resolution is 848x420, for each frame there are

848x420 = 356,160 pixels per frame


So for each frame there would be

356160*16777215 = 5975372894400 number of iterations per frame


We have a 5 minute video, which is 300 seconds, and we have 24 frames per second, that means we'll have

24*300 = 7200 frames total


Therefore, a 5 minute video at 24fps in 420p will have

7200*5975372894400 = 43022684839680000


or 4.3e16 number of possible iterations

Now, the interesting thing is, this is less than the estimated number of atoms in the universe by over 60 orders of magnitude. So eventually we may be able to generate every single 5 minute video ever to exist. That is if we manage to gather a few hundred million galaxies worth of material.
>> No. 468
>>56

That should be 16777215^356160, not 356160*16777215. Somewhere on the order of 1.69401 × 10^2573156.

Then it should be that _raised to the power_ of 7200. That actually does come out a bit over the number of atoms in the universe.
>> No. 469
>>85
Whoops, good catch. Fail math is fail.


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