Also, in this, I'm counting partially filled in pixels, too (E.G. those that make up a lily pad)
The above was one reason I made this forum, the other is that I made it so you could post numbers related to Minecraft here. So let's say that you have a Number for Minecraft that doesn't fit into anything else, this is the place to put it.
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Rumors about the world ending came 'true', so all the scientists in the world joined forces to create a plan to save the world.
They succeeded in making a plan, then all they had to do was deploy it.
Days passed perfecting the machine that would save their planet.
They finished it and deployed it: the world ending was a false alarm, but this is where their PLAN got them to:
How did you calculate this? If you take the number of pixels on a standard block, which is 1536 (6 sides with 16x16 = 256 pixels each) and allow every single color combination using RGBA (8 bits for each color plus 8 for transparency for a total of 32 bits; 2^32 = 4294967296) the resulting number is incalculable, at least on any standard calculator; I had to use this site to calculate it (enter 4294967296^1536) and when saved as a text file with spaces removed the size on disk was 14797 bytes (or that many digits).
Even using plain RGB with no transparency, which gives 16777216 colors per pixel, I got a 11098 digit number, and if all 6 sides used the same texture, 1850 digits.
As far as other numbers go, a while ago I made a thread which included calculations for the chances of the largest possible single cave system, which is around one per 8.8 x 10^52 chunks in 1.6.4 and 1.7 x 10^21 in 1.7; both of these are far in excess of the number of unique cave systems that can actually generate, which is about 19 trillion in 1.6.4 and 40 trillion in 1.7 (281 trillion * 1/15 chance per chunk in 1.6.4 and 1/7 in 1.7) so either very likely do not actually exist (in fact, there are 65536 times more worlds than possible unique cave systems and, assuming no overlap, only 20 worlds are required to exhaust every possible "chunk seed", which is also used to determine how most other aspects of world generation appear. This does not mean that you'll find the same things that often since chunks which match will not be in the same patterns). For comparison, every possible Minecraft world has about 2.6 x 10^32 chunks (not accounting for world type, which has no effect on caves or most other non-biome-specific features).
I get that, but this is for one single minecraft pixel (not counting transparency). I made this equation to calculate the number of combinations of a few things: (A+1)^B=C where, in this case, A was the number of colors in the RGB color model (16777216), and B was the number of sides on a pixel (6). So I added 1 to 16777216 and then raised it to the power of 6 to get the number I got, or C.
Also, I like searching for really big numbers in my free time, so I had to find some calculators that could handle it. I found 3, but #1 is down (nvm it just came back online).
Speaking of the number of possible worlds: it isn't correct because of updates. There have been updates with new additions since the number was calculated, and because the guy calculated it by counting the blocks in Debug Mode, the number would surely have changed. What I'm trying to say is the number in my previous post is outdated and needs revision.
Here is the number of possible Minecraft worlds (counting the extra 32 chunks past the world border) as of 1.12:
it is enormous and has about 100,000,000,000,000,000 more decimal places than before, but still doesn't seem that much bigger than the number above as it still has about 10 quintillion decimal places.