zombiepineapples:

gokuma:

empressofthelibrary:

iopele:

fairygothmama:

fhc-lynn:

the-sparkbeat:

gren-ninja:

decepticonfetti:

gren-ninja:

decepticonfetti:

gren-ninja:

gren-ninja:

buddha-buns:

kinesis-boomer:

thearad:

datkagazkinz:

mylittlemattie:

amiinu:

ajmh:

thecadre15:

Naruto ships possible = (858 * 857) =

735,306

Homestuck ships possible (don’t forget, four romances, one tri-relational) = (840 * 839 * 3) + (840 * 839 * 838) =

592,703,160

What math were YOU doing?

Alex you wonderfully saucy bastard you.

Wait, you are actually forgetting that in Homestuck it is possible for a person to be shipped with themselves (Karkat for example is in a kismesis relationship with his past/future selves). This brings the real total of number of ships closer to (840^2 * 3) + (840^3) = 

594,820,800

This is of course assuming that each character is only capable of having 4 types of ships.  If we factor in charms (which is the Leprechaun romance system) there are 9 types of relationships. However, it is clearly stated that Leprechauns can be in more than 1 charm with another Leprechaun. That means that the total number of combinations of relationships that a Leprechaun can have is :

 = 

511

There are 14 known Leprechauns in Homestuck meaning that the total number of possible “Leprechaun Only” relationships in Homestuck is (14*14*511) = 

100,156

So we add that number to the previous total for 594,820,800 + 100,156 = 

594,920,956

However, this is assuming that only Leprechauns can be in these types of relationships. If we assume that all characters can additionally be in these types of relationships (which I understand is a big assumption, but the fandom will probably ship everything possible anyway) then we need to add a few more numbers.

(840 * 840 * 511) =

360,561,600

I am going to add this to the first total I came up with so as not to include the Leprechauns twice. So the grand total number of ships possible in Homestuck assuming that every character can be in both Troll and Leprechaun relationships (but not both at the same time) is:

594,820,800 + 360,561,600 = 

955,382,400

So yeah…

hey every nepeta ever

start on that wall

I believe I’ve addressed this before, however, I’ve decided to revisit my old calculations for funsies.

So remember how way back when I said G1 has 538 Autobots and 452 Decepticons? Remember that? And how I got that nifty calculation that said, hey the Transformers Fandom has nearly 3 billion ships in the G1 Continuity on its own? 

Well, I went back onto the TF Wiki and decided to calculate the total number of characters from every continuity that could be considered Cybertonian in origin.

TOTAL NUMBER OF AUTOBOTS = 3071

TOTAL NUMBER OF DECEPTICONS = 2469

TOTAL NUMBER OF MAXIMALS = 264

TOTAL NUMBER OF PREDACONS = 310

TOTAL NUMBER OF NEUTRALS = 40

TOTAL NUMBER OF MINICONS = 610

That is a grand spanking total of 6764 Cybertronian characters. If we were simply to address one specific method of pairing characters, say Full Spark Bonding between two individuals, this would lead to exactly 91,503,392 possible ships.

However, there are five widely observed types of relationships between Cybertronians. These are Full Spark Bond (2 Individuals), Partial Spark Bond (2 Individuals), Trine Bond (3 Individuals), Full Multiple Spark Bond (3 to 5 Individuals), Partial Multiple Spark Bond (3 to 5 Individuals).

Ahem.

Following my revised calculations, the total number of possible ships with JUST Cybertronian Characters is anywhere between 2,785,363,252,480 and 929,033,938,976.

Between 2 Trillion and 900 Trillion. 

In conclusion…

ROBOTS!!

Every once in a while the Transformers fandom will rear its head and you see a glimpse of infinity.

did they just dethrone us

You know what, you didn’t just dethrone us.

Let’s, for the sake of fairness, keep the calculation of Homestuck’s total ships at 594,820,800 (disregarding leprechauns, including selfcest.)

And instead add this:

No, it’s not canon. No, this probably wouldn’t apply to any form of Alternia that “exists” or ever will “exist”. But for now, forget that.

We’ve already calculated data for the main four ships, so for now those are going to be skipped. Going down this list in order disregarding the main ships, we have (840^3) + (840^2) + (840^4) + (840^3) + (840^2) + (840^2) + (840^2) + (840^2).

Simplified? 499,060,296,000 ships. Adding the original ship count gives us 499,655,116,800 – which, for those of you whom don’t want to look at such a big number, is a burning half trillion potential ships.

Not enough to scratch your total. Let’s just try not to succumb to futility, here: predictably, I’m going to go deeper.

Time for lots of math.

(840^5)+(840^5)+(840^7)+(840^4)+(840^4)+(840^4)+(840^3)+(840^3)+(840^7)+(840^5)+(840^4)+(840^3)+(840^5)+(840^4)+((9*10)+(5^2))+(840^4)+(840^4)+840+(7*840)+(840^2)+840+(840^2)+(840^2)+(840^2)+(840^2)+(840^8)+(840^4)+(840^4)+(840^2)+(840^3)+(840^2)+(840^2)+(840^2)+(840^2)+(840^2)+(840^4)+(840^2)+(840^5)+(840^2)+(840^3)+(840^2)+(840^2)+(840^3)+(840^2)+(840^2)+(840^2)+(840^3)+(840^2)+(840^2)+(840^2)+(840^2)+(840^2)+(840^2)+840+(840^2)+(840^2)+840+(840^2)+840+(840^2)+840+(840^2)+(840^2)

Flagism (i.e. inside-your-caste only) required me getting a list of every canon troll. Yes, Meirfa and Nektan as well as their potential ancestors/decendants (one or the other) are counted. In cases in which it asks for a “group”, or uses “many”, I used 4 and 8 respectively, in reference to the kids. This is because things like Laytherithm, which could repeat infinitely, would probably essentially be cheating this list.

My final result is 2.484660738974071e+23, which I had to manually calculate to be a whopping total of (supposedly) 248,466,073,897,407,100,000,000. 248 sextillion possible ships. We don’t even need the leprechaun ships, because we’ve already won. *mic drop*

*cracks knuckles*

There are now at least 6766 documented individual named Cybertronian Characters (I’m way too lazy to go back to the TF Wiki a third time to verify it, but there’s probably more. They pop up like daisies). As of my writings at this time we have Full Spark Bonds (2 Individuals), Partial Spark Bonds (2 Individuals), Trine Bonds (3 Individuals), Full Multiple Spark Bonds (3 to 5 Individuals), Partial Multiple Spark Bonds (3 to 5 Individuals, and the Official Conjunx Endura (which appears to be your basic marriage synonym, assumed 2 individuals).

So Full and Partial Spark Bonds plus Conjunx Endura = 3(6766^2)

Add In Trine Bonds  = (6766^3)

And all variations of the the Multiples. I only did one variation of each before because honestly, five seemed a bit unfair.  = 2(6766^3) + 2(6766^4) + 2(6766^5)

3(6766^2) + (6766^3) + 2(6766^3) + 2(6766^4) + 2(6766^5) = 

137,336,268 + 309,739,063,096 + 619,478,126,192 + 4,191,389,001,815,072 + 28,358,937,986,280,780,000 = 28,363,130,304,637,120,628

Over 28 Quintillion in Cybertronian Only Relationships. If I really wanted to be unfair, then I would throw in Gestalt Bonds, which can range from 2 to 6 individuals. Occasionally there are more than six, but that’s such a statistical rarity that I’m excluding.

But hey, since I’m here = (6766^2)+(6766^3)+(6766^4)+(6766^5)+(6766^6)

That is…

45,778,756 + 309,739,063,096 + 2,095,694,500,907,536 + 14,179,468,993,140,390,000 + 9,593,828,720,758,787,000,000 = 9,608,010,285,756,213,139,388

…or 9.6 Sextillion in Gestalt Bonds alone.

This brings the total to 9,636,373,416,060,850,260,016 and does not include Symbionts (who can have symbiotic bonds with eighteen or possibly more cassettes), Splitsparks (one spark split into two individuals), Triple Changers (one spark, multiple forms and multiple personalities, or Multi-Changers (one spark, more than 3 forms and possibly more than 3 personalities).

This is one Universal Stream.

There are 54 Quadrillion Universal Streams.

I had to use google’s calculator because mine wouldn’t cooperate but that gives us this number here = 520,364,160,000,000,000,000,000,000,000,000,000,000

Wikipedia tells me that this number is approximately 520 Tredecillion. Not as nice sounding as Quintillion or Sextillion, I’ll admit. But it’s further down the list and therefore larger, so I will put up with how dumb it sounds.

Considering that we have yet another movie this year, three on-going comic series, and a new tv show due out next summer, we may just reach a googol within the next half decade.

Aw son of a fuck.

Now, I have expended all of my possible resources for possible ships, but you must remember a novemdecillion is eighteen zeroes past a tredecillion. And even if that math did have a chance of being totally incorrect, just remember that we have seven sets of infinity sitting on top of the half-a-quadrillion ship pile.

Apologies, I counted wrong. It’s actually 520 Undecellion, not Tredecillion.

We only reach 1.03 Tredecillion if we add in Triple Changers. It’d be more if we applied every single bonding type to each personality, but I’m pretty sure that may cause some spark strain in the long run and be somewhat physically unhealthy.

I’m also not going to even attempt to calculate the possibilities of Triple Changers in conjunction with Gestalt Bonds because let’s face it, that would be a very ridiculous number, accompanied with the even more ridiculous imagery of Astrotrain and Blitzwing in an orgy with the Stunticons.

If there isn’t a fic of that already, there will be within the next five days.

As for Symbionts and Multi-Changers, there is not enough caffeine in the universe to challenge the headache that will bring me. I also forgot about Binary Bonding and again, that’d probably bring me more headache than can actually be cured. Still left out Humans and Non-Cybertronian Aliens.

But still, whatever number we manage to get for one Universal Stream, we can multiply it by 54 Quadrillion.

Okay, you know what, I know when you have to give up.

Trophy to Transformers fandom.

so. much. math. XD

Did he account for cross-continuity pairings? All the numbers sort of started to dance around.

Never fails to amuse me.

it’s time to throw this out here again

There comes a point where you just have to realize that the Transformers Fandom is the sleeping giant at the bottom of the sea.

Or under the ice

I see what u did there