We have to have the talk

this one came to me right away

this shark is just opening his mouth

"There’s more to this kid than parlor tricks."

I wanted to draw something with a lot of clutter so uhh hERE AHHAHA idk this was sO FUN ♥

For the sake of my mind, we’re going to assume that in all cases the nature of consent and requisition does not play a factor in the ship, but rather if two characters are together in a certain kind of relationship then that is representative of  that ship as a statistic. We are also going to exclude 3-ways, and only acknowledge P as a variable represented by a number other than 2 when concerning an Auspistic relationship.

If we establish our variables to be {N = the number of characters in a fandom}, {P = the number of participants involved in a particular paring} and {S = the number of romantic ways to ship any characters}, then the formula for calculating the number of ships in a fandom ought to adhere to follows:

((N^P) - N)*S if we chose not to include self-cest (which in this case we will given that Naruto and Homestuck are both prone to some form of duplication shenanigan or another) making our final equation (N^P)S

(858^2)1 = 736,164  This number represents the total number of potential ships within the Naruto fandom where N = 858 and P = 2 and S = 1

Now when we look at Homestuck, the numbers stack up differently because we have to account for all four of the romantic quadrants. Because The Auspistic quadrant will have a different P value than the other three quadrants, it will be calculated separately.

(840^2)(Matespritship)+(840^2)(Moirailegance)+(840^2)(Kismesissitude)+((840^3)-(840*3))(Auspisticism) = 594,818,280

This gives Homestuck just over half a billion potential ships where as Naruto doesn’t even reach one million.

This doesn’t even begin to take into account ships involving quadrant vacillation  which would more than quadruple the number of ships in the Homestuck fandom.

With the lucky charms, assuming just heart is the same as matespritship, and assuming troves can be made of any combination of lucky charms, there are 514 ways to ship in Homestuck. If we want to find the number of different combinations of R items, out of N types of item, the formula is

n!/((n-r)!(r!))

Where some number x! is 1*2*3*…*x

BUT! This only gives us the number of combination for a given number of charms in a trove. We want to know the number of combinations for ANY number of charms. To do this, we set n to 9 (because 9 different charms), and then set r to 1, then to 2… all the way to 9, and sum these together. This gives us

This gives us the number of lucky charm ships. As we are counting ‘heart charm’ and ‘matespritship’ the same, we then add 3 to this: moirallegiance, kismesissitude and auspisticeship, giving us a total of 514 ways to ship.

As each 2-way relationship comprises (840^2) possible ships, and there are 513 of them, and auspisticeship comprises (840^3-840*3), this brings the total ship count to 513*(840^2)+(840^3-840*3) = 954,674,280 ships. Almost a billion ships. Nothing could stand up to that fleet.

Hush little troll, now don’t make a sound.

Terezi’s going to surely drown.

Don’t feel bad you couldn’t save her.

ho oooly shit another meenah daammmn