infinite pictures.

hello everyone I've been thinking about this one for a while but I was wondering has there ever been or is it possible to make a program that makes every picture combination ever for one resolution lets say 20x20. I don't really know why i am asking this I guess its just an itching question that I've had for a while now. So yea please tell what you think, my opinion on the subject is there are a lot of pictures that are possible and a lot of them wouldn't be anything at all just specks of stuff, and the ones that were recognizable could be very amazing, and some would be disturbing. If anyone knows how many pictures would there be possible for 20x20 due to how many colors possible could you tell me. Thanks.

20x20 pixels gives us 400 pixels, there are 256 different values for each of the R, G and B channels (excluding alpha), this means there are 256^3 possible values for each pixel.(16.7 million)

So 400x16777216 gives us 6,710,886,400 different possible 20x20 pixel images. With a modern computer this could probably be done in a very reasonable amount of time, but what would the point of having all these images be? Who would sort through 6.71 billion different tiny pictures to find what could be accomplished by an artist in 10 minutes?

You should look at combinatorics, a branch of math devoted to these types of problems.

Think of it like this, you have 0xffffff colors in the standard hex color system. Each of the 20x20 pixels could be any of those 0xffffff colors. We will invent a method for incrementing the colors. It will be like so, increment the first pixel, if it is 0xffffff, st it to 0 and increment the next pixel. Do this recursively. You can see it would take 0xffffff iterations to change the second pixel, and 0xffffff changes in the second pixel to change the third. We should then notice the pattern, that it would take 0xffffff^n to change the nth pixel. We have 20*20 pixels, and we want to go through all colors, so we extend this pattern to 20*20 pixels. It would take 0xffffff^(20*20) = 16777215^400 = 4014959061089910785.

wow thats amazing. And I dont know why anyone would do this I just like the idea of having all of everything. The idea that you would have any 20x20 image ever past, present, or future. Every single picture ever taken or will be taken is in your possession, every thing possible or impossible would be able to be seen. The creepiness of it all too, the fact that if you have a 20x20 picture, its in there...

Actually, my calculator overflowed massively. The real number is
77260652960465053840806022157165047272943619541401 60747299426268720117916893973505783144387803819180 40281113813233312413458704108427207593248916788881 05795268187640462548419359594706029787810055042201 00430664922956656374349558515466143080470447649568 35902033036032188811391194828515666273715604551162 14107929312020310328321712827002828361215960870168 27175321435621626934143770355551984304007710037351 86333991629014571058532585760788717032950137183427 75362174173283875870393490787928755582611502708301 58340380131967291430480041857268062905822936298573 28448955217639083211454091773079240281334170124155 31537600014068477224531071459748891736731594806028 03673623192151031736402832878033878371291183989935 30434269168406478930130972047936763801392838704309 11810565321763288234657997371934185760486591957311 02224333831237799650368883559208023813294743278881 81845261208213782026997584492768882582671671687865 08539961992999644711007922939712480267306563531387 74182910357257117239800036987323653839904571790118 46297078453827555152964344779203105571920351325698 48043636199445607443111954580341917944325290216921 43953737784856234799082506229860772512630051381429 75917299140652889698599996244446258488401446034804 70343616945127264431470576822920276870475757989512 09673707129788546192056560793788970951591006494123 15533545756028733002422691539720916076563581804378 48834459452441574802193483824595349206349483973811 58560692394048962969941167652160003896299347966855 16725304135691852980679375235136398444277366524930 30753645839854717712471537934713025001407716335563 69508218197224282185964317664066523492371528578815 26994115194418981505175029917291635443037890649234 86884771634297716887469989081222749764000016787997 66411267158626362152514619103537341289152460176171 60947203059171379114197723873491687932071258214339 53237197261327712915356547240400265155114066569388 90061672395238403180300948646474840907778768438679 28816778651940065176469327807681883877413405243549 63997990343608358325477253859200912669743965704440 70904548458043992871600152985914460987825403809113 94164146449035181307175017774502039786122998804739 22387234930795870222994484804040646381657449627666 29889576592034110709340900064209904831809590005670 42974859151042121425622827025625812201797673286695 77796676480067509407344210695966463611268868224727 72844796645901329337267331591132642199925930459155 36323983027992846058160873030064192037884526822221 96200877279978477656231650054242284348754554762128 70645855363100691152459967994384685509457925986970 27281094665201345599891448336692431943670498376028 47514993746770595303765068716057448336866955471803 98413870190103452105115747735343241389162393868923 11516349307186760939510912378422075243602666122530 13046606721525958970514541700331493782380688778342 19807634555608630158451357921157684349345784731098 01584831946714761388218554503864873637119813829974 4877376773269155901925046573938692325376

oh... thanks, how fast could a FAST computer do this in

We'll guess an outrageously small amount of time for a single picture, 1 ps(10^-12 s) each.

31230918038444956404014312681444408390879313780281 41801171359272619326754627745994324970559872179604 29838301029710160299651078669614688096224449049434 81768300072206518088039843875983151592886291894784 55081680767654290208729826109222426764983176107474 84316217661914171545314450220891730216142524948383 85321068927897070111477758617779509005854282617883 53373905366202107957525494613786692497352729660301 91595377570812499767935264010598381934614889501352 21309189505434628482973908510994622785501989892170 63287871308702996658329337624183464919603531781318 50024683348172562534829192131544019189977901591029 34562510068733473252545747719660737916967598989010 81195827627582738312439224481647813512564173214678 54257027015857015089641281222284415116166069294439 40134723624097086745862779492274029691530780185763 56551505827292554690403036400286409705376690939134 54740219769515947563198968674737849873629325874370 40726728240512358593797914538330078912520645904378 10669384144714891022446514614322670348756273030418 24471388357358419963219112985094242766801073490711 92104286862436318863042683782307080103831681268551 86352687408748662444899522720030665280872392469138 26880344120968197617905138488477677463858338680460 18234119913954381252543942351749433499560304055638 59624937917939374434778586480313287013271801564883 18057688719491038385643597965369767620480682553182 92889172331541606842112906914969299714701918517603 38891649392625711422308924429249934353289795675574 71065575052268006376638495263582414600079445673045 00142569881973281862281054149675888514103271268672 42965184427535378496134686224240499327895811122762 08900965812295773481935013094705382151962397677763 191426717965 billion years

To give you an idea of scale, Andromeda and the Milky Way are expected to collide in ~4.5 billion years.

Code:

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#!/usr/bin/perl

use bigint;

print (((256**3)**400) / (10**12 * 31556926 * 10**9)); # pictures / (pictures/s * s/y * y/by)

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Quote:

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Originally Posted by xniinja

wow thats amazing. And I dont know why anyone would do this I just like the idea of having all of everything. The idea that you would have any 20x20 image ever past, present, or future. Every single picture ever taken or will be taken is in your possession, every thing possible or impossible would be able to be seen. The creepiness of it all too, the fact that if you have a 20x20 picture, its in there...

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Art isn't just color you guys. :eek:

Quote:

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Originally Posted by whiteflags

Art isn't just color you guys. :eek:

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Yes, we would need a complex algorithm to weed out the crappy ones.

Quote:

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Originally Posted by User Name:

Yes, we would need a complex algorithm to weed out the crappy ones.

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Impossible to do a comparision between a "crappy" art and "good" art. If I have a hand on that algorithm, all the Picasso would be weeeded out pretty quick.

we only need to get 31230918038444956404014312681444408390879313780281 41801171359272619326754627745994324970559872179604 29838301029710160299651078669614688096224449049434 81768300072206518088039843875983151592886291894784 55081680767654290208729826109222426764983176107474 84316217661914171545314450220891730216142524948383 85321068927897070111477758617779509005854282617883 53373905366202107957525494613786692497352729660301 91595377570812499767935264010598381934614889501352 21309189505434628482973908510994622785501989892170 63287871308702996658329337624183464919603531781318 50024683348172562534829192131544019189977901591029 34562510068733473252545747719660737916967598989010 81195827627582738312439224481647813512564173214678 54257027015857015089641281222284415116166069294439 40134723624097086745862779492274029691530780185763 56551505827292554690403036400286409705376690939134 54740219769515947563198968674737849873629325874370 40726728240512358593797914538330078912520645904378 10669384144714891022446514614322670348756273030418 24471388357358419963219112985094242766801073490711 92104286862436318863042683782307080103831681268551 86352687408748662444899522720030665280872392469138 26880344120968197617905138488477677463858338680460 18234119913954381252543942351749433499560304055638 59624937917939374434778586480313287013271801564883 18057688719491038385643597965369767620480682553182 92889172331541606842112906914969299714701918517603 38891649392625711422308924429249934353289795675574 71065575052268006376638495263582414600079445673045 00142569881973281862281054149675888514103271268672 42965184427535378496134686224240499327895811122762 08900965812295773481935013094705382151962397677763 191426717965 billion computers. Well that gives us the problem that there are only 10^81 atoms in space (or so i've been told, i don't agree). another fun number fact there are about 10^100000 ways a chess game could be played out.

Quote:

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Originally Posted by nimitzhunter

Impossible to do a comparision between a "crappy" art and "good" art. If I have a hand on that algorithm, all the Picasso would be weeeded out pretty quick.

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I don't think Picasso painted in 20x20 resolution, so all the Picasso are weeded out by default. :p

xniinja: I don't think that many computers would scale too well. They'd all have to have half the collective computing power just to handle the epic amount of communication required to coordinate a cloud that massive.

Quote:

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Originally Posted by User Name:

To give you an idea of scale, Andromeda and the Milky Way are expected to collide in ~4.5 billion years.

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What??!! Great, now you tell me...
I'd better start preparing now. :)

Quote:

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Originally Posted by xniinja

wow thats amazing. And I dont know why anyone would do this I just like the idea of having all of everything. The idea that you would have any 20x20 image ever past, present, or future. Every single picture ever taken or will be taken is in your possession, every thing possible or impossible would be able to be seen. The creepiness of it all too, the fact that if you have a 20x20 picture, its in there...

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To give you a further idea of scale... Windows 7 Icons... the fancy ones you can resize with your mouse wheel, are 256 x 256 x 16.7 million colors....

That's ~10,944,512,000,000 possible images.

I recently wrote a windows program using one of the new Icons and the Icon embedded in the program was bigger than the executable code...

Quote:

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Originally Posted by cpjust

What??!! Great, now you tell me...
I'd better start preparing now. :)

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Blast from the past (Very weird movie)

Quote:

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Originally Posted by CommonTater

To give you a further idea of scale... Windows 7 Icons... the fancy ones you can resize with your mouse wheel, are 256 x 256 x 16.7 million colors....

That's ~10,944,512,000,000 possible images.

I recently wrote a windows program using one of the new Icons and the Icon embedded in the program was bigger than the executable code...

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length*width*colors isn't right. You are finding the area, then multiplying by the total possible colors. That is the number of times when all pixels are the same color. You're leaving out all else. It would, in fact, be much larger: 16,777,215^(256*256). It's so huge, I don't even want to post it here, because of it's massiveness would span a couple pages.

And this is why one time pads are so cool.

Quote:

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Originally Posted by User Name:

length*width*colors isn't right. You are finding the area, then multiplying by the total possible colors. That is the number of times when all pixels are the same color. You're leaving out all else. It would, in fact, be much larger: 16,777,215^(256*256). It's so huge, I don't even want to post it here, because of it's massiveness would span a couple pages.

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Oh come now! 256*256*log 16777215 = 473479.2414, so it's only 473480 decimal digits long. Even if we assume 160 characters a line, that's still 2960 lines. At 50 lines a "page" that's more like 60 pages.

o_O ...

The way to look at it is that in a picture each pixel has 24 bits (8 red, 8 green, 8 blue) and if the picture is 20x20, then there are 400x24 bits - 9600. Each bit can either be set or not, so there are 2^9600 combinations. If you calculate this, you get the huge number "User Name:" posted already.

Quote:

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Originally Posted by tabstop

Oh come now! 256*256*log 16777215 = 473479.2414, so it's only 473480 decimal digits long. Even if we assume 160 characters a line, that's still 2960 lines. At 50 lines a "page" that's more like 60 pages.

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"Couple" is indeterminate. :p Point is, it would be inconsiderate to post such a monstrous glob of digits. (That, and my perl script(using GMP for BigInt) was taking a REALLY long time, and my computer was getting REALLY hot. So I killed it, and decided to leave it at that. :))

I like maxorator's explaination, it's more mathy than mine. :)

I was trying to make a calculator that did this, but how do you make a variable that can hold 473480 places? who ever makes this will probably have to make their own picture viewer instead of waiting for windows media player to open, that would take a while...

You have to use a bignum library or calculator. I use Perl for simple stuff like this because it has pretty seamless bignum integration. There are some bignum calculators available on the internet, some in Java so you can use them right on the website.

Quote:

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Originally Posted by user name:

length*width*colors isn't right. You are finding the area, then multiplying by the total possible colors. That is the number of times when all pixels are the same color. You're leaving out all else. It would, in fact, be much larger: 16,777,215^(256*256). It's so huge, i don't even want to post it here, because of it's massiveness would span a couple pages.

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<<< Nice try - try again >>>

Quote:

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Originally Posted by User Name:

length*width*colors isn't right. You are finding the area, then multiplying by the total possible colors. That is the number of times when all pixels are the same color. You're leaving out all else. It would, in fact, be much larger: 16,777,215^(256*256). It's so huge, I don't even want to post it here, because of it's massiveness would span a couple pages.

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I tried, it wouldn't let me, so here it is in attachment form


edit: lol, never mind

-_- O_O -_- ...

You guys just don't know when to stop, eh?

"Μέτρον Άριστον" my ancestors used to tell. It means you'd best put some limits in your life!

Quote:

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Originally Posted by Sipher

-_- O_O -_- ...

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I wish you didn't do that. Messes with my nervous system.

Quote:

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Originally Posted by Sipher

-_- O_O -_- ...

You guys just don't know when to stop, eh?

"Μέτρον Άριστον" my ancestors used to tell. It means you'd best put some limits in your life!

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If you find large numbers to be mind boggling, you should see what people have decided to name some of those numbers.

A googolplex is hard to wrap your head around, but if you want something truly mind bending, look up the name of 10 to the power of 2703.


I'll make it easy for you
quinquagintaquadringentillion

More goodies

More goodies

Favorited.

Quote:

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Originally Posted by xniinja

More goodies

Favorited.

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Hah, look at how awesome and anti-conformist Cambridge Online Dictionary is... they refuse to acknowledge numbers beyond 999,999,999,999,999,999.

Phooey says Cambridge to your infinite pictures question... Phooey!

I liked millinillion, that's thousand quingentillion. But that's mostly because it sounds completely made up. :)

Quote:

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Originally Posted by Neo1

A googolplex is hard to wrap your head around, but if you want something truly mind bending, look up the name of 10 to the power of 2703.

I'll make it easy for you
quinquagintaquadringentillion

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It's actually nongentillion OR quinquagintaquadringentilliard. ;)

Quote:

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Originally Posted by SlyMaelstrom

Hah, look at how awesome and anti-conformist Cambridge Online Dictionary is... they refuse to acknowledge numbers beyond 999,999,999,999,999,999.

Phooey says Cambridge to your infinite pictures question... Phooey!

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....ahhhh *facepalm* (Has anyone ever tried to type a capitol number?)

Millinillion sounds like shake a lakein' (how ever you speel that.) New favorite #

Quote:

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Originally Posted by ಠ_ಠ

<<< Nice try - try again >>>

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you have no idea how tempting this is

Quote:

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Originally Posted by Mario F.

I wish you didn't do that. Messes with my nervous system.

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I don't get your drift, Mario F. Are you saying that i don't know basic english grammar? I'm just expressing myself through some smilies. What's your problem?

Since you asked...

I have no idea what your smiley means and I'm not, as you may understand, on the business of researching smileys meaning. Along with the fact as smiley is only useful as a means to convey information if it's kept to a bare minimum and used only if its decoding is universally understood, I tend to gripe about any use of smileys that could be better replaced by secular, proven and universally accepted WORDS.

Well, not everyone share your opinion, you know.

Some times, things can't be expressed with words, that's where smileys come in.
I don't need to be typing 20 words when i can use only one smiley.

After all, it's just for fun, i wasn't trying to poke someone, unlike you!

You are taking my comments way too seriously. Relax.

Quote:

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Originally Posted by Mario F.

You are taking my comments way too seriously. Relax.

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.... :rolleyes:

There's that smiley again... :D

To clarify, because the message seems to have been lost:

I'm not trying to poke you, relax.
But I'm admonishing you, you bet. Certainly you can ignore it and keep producing 9 character long smileys all you want. But don't give me the "you are poking me", because it will only mean you cannot take good advise on good terms.

Quote:

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Originally Posted by Mario F.

To clarify, because the message seems to have been lost:

I'm not trying to poke you, relax.
But I'm admonishing you, you bet. Certainly you can ignore it and keep producing 9 character long smileys all you want. But don't give me the "you are poking me", because it will only mean you cannot take good advise on good terms.

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I would understand this better in smiley form

Quote:

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Originally Posted by Mario F.

To clarify, because the message seems to have been lost ;)

I'm not trying to poke you, relax. :)
But I'm admonishing you! :-) you bet. Certainly you can ignore it and keep producing 9 character long smileys all you want. :D But don't give me the "you are poking me", because it will only mean you cannot take good advise on good terms. :-P

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Fixed!

Now I get it, thanks Neo :D

Quote:

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Originally Posted by Mario F.

To clarify, because the message seems to have been lost:

I'm not trying to poke you, relax.
But I'm admonishing you, you bet. Certainly you can ignore it and keep producing 9 character long smileys all you want. But don't give me the "you are poking me", because it will only mean you cannot take good advise on good terms.

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OK, i get it! I guess i misunderstood. ( Hey, when did i wrote 9-letter smileys??? :D )