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The possible skins to be made

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avatar DoctorWoo
Level 53 : Grandmaster Nerd
69
Just to preface with this: my math is crazy rusty. The notation is right, but the interpretation of it may be wrong. If that's the case, lemme know, and I'll fix it

With that out of the way, on to the meat of this post. A few days ago, I was sitting in the chat when a few people started talking about the possible skins that one can make in Minecraft. And this got my curiosity peeked, so I looked into it.

Lets face the facts first off:
  • A standard minecraft skin has 1,568 pixels in it, including the "helmet", 1,184 without the "helmet
  • A computer can process 16,777,216 different colors and hues
  • The human eye can detect about 10,000,000 different colors and hues

And now the math side of it. Again, I suck at math, so I Googled most of this, and I'm copying from here. Warning! Math lesson ahead!

The formula is: (n + r -1) / r! (n-1)!
This means that n = the number to chose from, and r is the times to take from the pool (n)
The ! is called a factorial function. This just means that 5!=5x4x3x2x1=120
This formula also allows for repetition, where the order doesn't matter (meaning you can use the same color on multiple pixels) .
So what were looking at are four different numbers problems now.

(16777219+1568-1)/1568!(16777216-1)!
(16777219+1184-1)/1184!(16777216-1)!
(10000000+1568-1)/1568!(10000000-1)!
(10000000+1184-1)/1184!(10000000-1)!
Ok, math lesson over.

With those four formulas, we get for numbers. Due to the CRAZY largeness of them, they will have to be in scientific notation. I won't explain them, but *coughcough*link*cough*
So here are the numbers!
ALL possible skins!

  • With helmet: 2.31303 Ã� 10^113920099 = 231303 with 113920098 zeros behind it
  • Without helmet: 1.28912 Ã� 10^113921304 = 128912 with 113921303 zeros behind it

Only the skins with the colors humans can see/detect
  • With helmet: 5.680668 Ã� 10^65652720 = 5680668 with 65652719 zeros behind it
  • Without helmet: 3.166007 Ã� 10^65653925 = 3166007 with 65653924 zeros behind it

So why did I post this? Mainly because I spent WAY too much time doing the math. But also to raise a point. As it sits, there are currently 680,939 skins on PMC. Assuming those are ALL unique skins, that means there is 17,458,155 skins that you can not submit to PMC because they are either already made or are a single color. and against the rules. You can also throw on another 1,000,000,000 or so just to make sure you cover all the single pixel changes to those 17,458,155 skins (I'm not doing the math for an exact number).
Point being: at this EXACT point in time, there aren't enough skins to even make a measurable dent in any of the above numbers. So no one has any reason to not make a new, unique skin!!
CreditWolfram Alpha for the math doing

2 Update Logs

Update #2 : 12/03/2013 2:29:05 amDec 3rd, 2013

Such mistake. No grammar. Wow.
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1
09/11/2013 3:32 am
Level 3 : Apprentice Explorer
TheMinecraftGecko
That is all very true, but site moderators ARE very strict and well.. not really liked very much haha.
1
09/11/2013 3:53 am
Level 53 : Grandmaster Nerd
DoctorWoo
wat
1
09/12/2013 2:28 am
Level 3 : Apprentice Explorer
TheMinecraftGecko
All of your equations are true, But the site moderators think very squarely about skins. "IF THERE IS A SKIN WHICH LOOKS LIKE ANOTHER SKIN IT IS NOT ALLOWED" Basically. Thus,making the moderators not very 'popular' am I getting through to you?
1
09/12/2013 5:10 am
Level 53 : Grandmaster Nerd
DoctorWoo
Site rules are site rules...if the skin is the same, it should be removed. This blog is pointing out why there is no reason to copy. As far as the mods go, anyone who enforces rules is always disliked. And as for your closing, that seems fairly rude. Your first comment was (more or less) out of the blue.
1
09/13/2013 2:49 am
Level 3 : Apprentice Explorer
TheMinecraftGecko
Not really, you just didn't understand it properly
1
09/13/2013 10:16 pm
Level 53 : Grandmaster Nerd
DoctorWoo
Considering I never once mentioned moderators in my post, your first comment about how their hated pretty much came out of the blue.
1
09/06/2013 8:50 am
Level 38 : Artisan Scribe
Jetra
Very interesting...
1
09/12/2013 2:28 am
Level 3 : Apprentice Explorer
TheMinecraftGecko
Yeah it really is isn't it?
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