Welp, Order of selection doesn’t matter unless you’re also including sexual dominance in the equation (Or possibly who initiated courtship).
So from a purely romantic standpoint there are 153 pairings and 816 triples and 3060 quads.
So we could certainly keep Willis busy for quite some time with slip-shines if he was willing to go back and do slip shines for the characters in the ItsWalk! universe as well as any future comic universes.
liahansen
you forgot the one true ship, the inevitable 18-way
Reltzik
You’re making the problem set smaller than it is and that’s actually making the math more complicated.
We can have ANY POSITIVE NUMBER of cast members involved, up to the full ensemble. Yes, even solo acts. …. but okay, zero is pretty boring, leave that out.
With a cast of 18, the calculation for this is 2^18 – 1 = 262,143 combinations.
There’s nothing like math to make sex sexier!
Strangeshapes
This Right Here is why I always read the comments section. Sure, you could take Willis’s comic and smile at Joyce’s antics … OR you could actually debate the best way to calculate the exact number of sexual variations possible in the cast.
This makes my morning.
DarkVeghetta
I concur. THIS is why the comment section is the best thing about a Willis comic (or any webcomic in general).
WolfLann
True. Don’t always have time to read it all or comment but I try to read as many as I can.
Sambo
Personally, I’d remove the one-ways…. but that still leaves us with 262 125 sexytime combinations!
I’m fairly certain that, straight or no, at least one scenario involves her living with Dorothy in a small townhouse with an unspecified number of adopted children.
But Faz can help Joyce draw up the shipping diagrams.
Plaid
It would just be a bunch of lines radiating out from a point marked “Faz”
Deanatay
“I have created this chart showing all of the possible relationships that can occur among people you know. As you can see, all of the important ones center around me.”
fizzywafflezsuperstore
“I have created this chart” really is all you need
to change a normal quote into a Faz quote:
“‘I have created this chart showing that’ If you
want to make an apple pie from scratch, you
must first create the universe”
-Faz (it used to be Carl Sagan)
fizzywafflezsuperstore
Is it a bad thing if the first thing that came to mind when I saw my own comment was “hey, that looks like Arkansas”
And the second:
“‘The designers of the Arkansas
Were inspired to choose a form that was
The exact dimensions and the shape
of the state whose name she bore
Yes the ship was shaped like Arkansas
And the hull was formed without a flaw
Every detail had been reproduced on a scale of one to one'”
Reltzik
Please tell me you mean “shipping” in the sense of advocating for a particular romantic pairing, and not in the sense of some bizarre crate-and-forklift Faz-fetish.
“No lady wants my, the great Faz’s, penis in them, you want no penis in you. Our love is destined to be, let us get married so we can entwine our genitals.”
There’s a HUGE difference between Walky courting Billie and Billie courting Walky
do you NOT AGREE
Disloyal Subject
Well, if we’re going to differentiate, there are at least a dozen scenarios per pairing. Mutual pursuit, drunken one-night stand, mutual pursuit while oblivious to the other’s intentions… And then degrees of tsundereness…
Tobias
We could be looking at a whole new field of tsundere-based mathematics here.
electromagneticDestroyosaur
We could use triple integrals to calculate the change in volume of the tsun, and then Newton’s Third Law will help us determine the magnitude of the ensuing dere. The resulting formula for how many discrete tsundere level settings we have to account for will be expressed in terms of: range of emotional expression, level of emotional honesty, partner’s EQ, stubbornness, and genre of current medium.
It’s sad that we have to BSoD Joyce to get her to update her drivers. Her social network card, her sexual experience card, and her science drivers are horribly out of date and yet she barely thinks about patching them.
Her time_t function only goes back or forward about 6,000 years without overflowing, too. I mean that’s way better than a 32-bit *nix clock, but hugely inferior to a modern 64-bit one.
That’s ordered pairs though. Counting combinations rather than permutations there are “only” 153 possible couples, 816 threesomes, 3,060 quartets, 8,568 quintets, 18,564 sextets (hurr!), 31,824 septets, 43,758 octets, 48,620 nonetets, 43,758 decetets, and so forth, for a total of 262,125 combinations not counting solitaires or the null orgy.
I was trying to figure that out, as well. There’s a clear pattern, so I’m pretty sure that I could wrap it all up into one easy equation. Of course, trying to come up with that equation (without looking it up – that’s cheating!) is taking me much longer.
Of course, that total assumes everyone is bisexual, polyamorous, and open to incest. So… yeah.
Rorror
We get a constellation for every subset of at least size 2. There are a total of 2¹⁸ subsets. Subtract the singletons and the empty set and you have 2¹⁸-18-1 = 262125.
curiousgeorgie
And if anyone’s like me and didn’t get this intuitively, that’s because, for each of 18 characters, you either include or don’t include them in the Slipshine. So 2 possible options, for each of 18 people.
…do we have to subtract the singletons?
Reltzik
If you want to calculate the number of possible combinations of k people out of a total ensemble of n, the formula is:
n!
————-
k! * (n-k)!
Where the ! is the factorial operator, indicating that you multiply all positive integers up to that number. For example 5! = 5 * 4 * 3 * 2 * 1 = 120.
…. and here I thought I would be the only one cra-cray enough to do the math on this.
Ana Chronistic
I was always pretty good at solving math problems in school.
Remembering which formula to use for each problem is a different matter.
Reltzik
The trick for me was always remembering the REASON for the formula, and for the combination formula it’s pretty easy.
When you want, oh, let’s say 4 out of 18, you pick the first one at random. That’s 18 possibilities. Then you pick another one at random out of the remaining 17, giving you 18 * 17. Then another one at random from the remaining 16, then another one from the remaining 15, giving you 18 * 17 * 16 * 15. So you’re multiplying the top 4 numbers. If you had 20 possibles instead of 18, you’d still multiply the top 4 numbers, but the “top” would have moved a bit higher. If you wanted a combination of 6, you’d multiply the top 6 numbers. Generally speaking, if you have n possibles and want to get k out of them, multiply the top k numbers (with the top-most being n).
Someone once upon the time got the clever but confusing idea that 18 * 17 * 16 * 15 was actually 18!, 18 * 17 * 16 * 15 * 14 * … * 2 * 1, with everything past 15 crossed out. How do you do that? Divide by 14 factorial.
This gives us part of the formula:
n! / (n-k)!
Why? Because n – k (18 – 4 = 14 in this example) is where you start crossing numbers out from n!.
This is the formula for permutations, where order matters. Since order doesn’t matter, we also have to divide by the number of possible orderings, which is k!. This gives us
n!
————–
(n-k)! * k!
…. and no one’s reading this because the next comic’s up. Yeah. That’s the reason.
390 thoughts on “Scenarios”
Ana Chronistic
so the freak-out face is a Joyce BSoD, then she reboots in Safe Mode and downloads updates?
wait
there are eighteen characters just in the cast list, and seventeen ways to pair any one of them off, so that’s 306 Slipshines
OH BUT WHAT ABOUT MENAGE A THREES
that’s *4896* SLIPSHINES
but wait, what about… fours??
ahhh hahhhh
*brain lock*
Ana Chronistic
(inb4 I don’t really calculate Slipshines, I just read them as they come)
((HURR COME))
Dreadhawk177
Spoiler Alert: The menage a trois always involve god.
sjmcc13
So the puritans believed…
inqntrol
That Jesus is cumming!(ok i’ll go in my corner now).
electromagneticDestroyosaur
My favorite was always “Blessed is he who comes in the name of the LORD!” I figured that’s why people traditionally scream “oh god” during sex.
Disloyal Subject
This took surprisingly long to find.
Captain Batson
Or AmbMazi-Girl
Yossarian Duck
Now THAT is what I call a Holy Trinity!
John
Welp, Order of selection doesn’t matter unless you’re also including sexual dominance in the equation (Or possibly who initiated courtship).
So from a purely romantic standpoint there are 153 pairings and 816 triples and 3060 quads.
So we could certainly keep Willis busy for quite some time with slip-shines if he was willing to go back and do slip shines for the characters in the ItsWalk! universe as well as any future comic universes.
liahansen
you forgot the one true ship, the inevitable 18-way
Reltzik
You’re making the problem set smaller than it is and that’s actually making the math more complicated.
We can have ANY POSITIVE NUMBER of cast members involved, up to the full ensemble. Yes, even solo acts. …. but okay, zero is pretty boring, leave that out.
With a cast of 18, the calculation for this is 2^18 – 1 = 262,143 combinations.
There’s nothing like math to make sex sexier!
Strangeshapes
This Right Here is why I always read the comments section. Sure, you could take Willis’s comic and smile at Joyce’s antics … OR you could actually debate the best way to calculate the exact number of sexual variations possible in the cast.
This makes my morning.
DarkVeghetta
I concur. THIS is why the comment section is the best thing about a Willis comic (or any webcomic in general).
WolfLann
True. Don’t always have time to read it all or comment but I try to read as many as I can.
Sambo
Personally, I’d remove the one-ways…. but that still leaves us with 262 125 sexytime combinations!
DarkoNeko
18 chars, but that include Joyce. Does she run scenario with herself as a variable as well ?
Dreadhawk177
Joyce is always a variable.
Bicycle Bill
Joyce is the wild card.
Dreadhawk177
Error JOYCE.CPP 27: Cannot modify a const object ‘GOD’
fizzywafflezsuperstore
a compliment to your joke
badmartialarts
WILD CARD bongoES
Opus the Poet
Hmmm.
WILD CARD bongoES!
😀
Opus the Poet
Yep, it doesn’t form the correct plural, but it does retain capitalization from the original B-word.
Heavensrun
I’m fairly certain that, straight or no, at least one scenario involves her living with Dorothy in a small townhouse with an unspecified number of adopted children.
DarkoNeko
Yeah, I betcha one does XD
nothri
Or puggles. I’d go with the puggles.
Disloyal Subject
Puggles might make decent baby-guards.
Rycan
19. Joyce is including Jesus.
Reltzik
Yes, but she only admits it with her blushes.
shadowcell
“brain lock” is an appropriate response to any slipshine scenario involving faz, yes
Nightsbridge
Luckily, Joyce has not met Faz. She is spared that.
inqntrol
For the moment.
Plasma Mongoose
But Faz can help Joyce draw up the shipping diagrams.
Plaid
It would just be a bunch of lines radiating out from a point marked “Faz”
Deanatay
“I have created this chart showing all of the possible relationships that can occur among people you know. As you can see, all of the important ones center around me.”
fizzywafflezsuperstore
“I have created this chart” really is all you need
to change a normal quote into a Faz quote:
“‘I have created this chart showing that’ If you
want to make an apple pie from scratch, you
must first create the universe”
-Faz (it used to be Carl Sagan)
fizzywafflezsuperstore
Is it a bad thing if the first thing that came to mind when I saw my own comment was “hey, that looks like Arkansas”
And the second:
“‘The designers of the Arkansas
Were inspired to choose a form that was
The exact dimensions and the shape
of the state whose name she bore
Yes the ship was shaped like Arkansas
And the hull was formed without a flaw
Every detail had been reproduced on a scale of one to one'”
Reltzik
Please tell me you mean “shipping” in the sense of advocating for a particular romantic pairing, and not in the sense of some bizarre crate-and-forklift Faz-fetish.
charlierw1
“No lady wants my, the great Faz’s, penis in them, you want no penis in you. Our love is destined to be, let us get married so we can entwine our genitals.”
Someone
Something, something…Half Life 3 confirmed.
Tacos
Oh Half Life 3 is always being confirmed. Nobody will even notice when it actually does.
nothri
Wait, what, really?
inqntrol
Valve likes to keep a captive audience.
WolfLann
:O what about HL2 Episode 3? I want my episode 3 !!!!!
I also demand the next instalment of Sin: Episodes.
That game was fun but way too short.
Icalasari
Don’t worry – JoyceOS (jOySe?) can only handle pairs. It’s a hardware limit, no updates can remove it
liahansen
jOySe is absolutely the way software engineers would write it
WolfLann
“It was a triumph. I’m making a not here: Huge success”
liahansen
ah-ah-ah, you forgot to divide by 2 to eliminate duplicate pairs. Poor shipping math
Dreadhawk177
Has to calculate from both points of view, silly.
Ana Chronistic
also there are others that don’t have a cast page, so I bet I’m correct anyway! (for the wrong reasons)
fizzywafflezsuperstore
Can anyone guess how your comment reminded me of rabbits?
(Hint: Michael C.)
(does this count as too seemingly random and off topic to post?)
Kryss LaBryn
They aren’t in the Cretaceous?
Viktoria
You messed up the math. Assuming only pairs, there’s no significant difference between Walky/Billie and Billie/Walky. So 163 potential pairs.
liahansen
153, right?
John
Yes, 153, Viktoria also screwed it up.
Ana Chronistic
There’s a HUGE difference between Walky courting Billie and Billie courting Walky
do you NOT AGREE
Disloyal Subject
Well, if we’re going to differentiate, there are at least a dozen scenarios per pairing. Mutual pursuit, drunken one-night stand, mutual pursuit while oblivious to the other’s intentions… And then degrees of tsundereness…
Tobias
We could be looking at a whole new field of tsundere-based mathematics here.
electromagneticDestroyosaur
We could use triple integrals to calculate the change in volume of the tsun, and then Newton’s Third Law will help us determine the magnitude of the ensuing dere. The resulting formula for how many discrete tsundere level settings we have to account for will be expressed in terms of: range of emotional expression, level of emotional honesty, partner’s EQ, stubbornness, and genre of current medium.
John
It’s sad that we have to BSoD Joyce to get her to update her drivers. Her social network card, her sexual experience card, and her science drivers are horribly out of date and yet she barely thinks about patching them.
marianne
Her time_t function only goes back or forward about 6,000 years without overflowing, too. I mean that’s way better than a 32-bit *nix clock, but hugely inferior to a modern 64-bit one.
Agemegos
That’s ordered pairs though. Counting combinations rather than permutations there are “only” 153 possible couples, 816 threesomes, 3,060 quartets, 8,568 quintets, 18,564 sextets (hurr!), 31,824 septets, 43,758 octets, 48,620 nonetets, 43,758 decetets, and so forth, for a total of 262,125 combinations not counting solitaires or the null orgy.
Agemegos
This post evidently took me way too long to compose.
Ana Chronistic
DID I NOT SAY I DO NOT ACTUALLY CALCULATE SLIPSHINES
Agemegos
You did. But that’s not to say that I don’t.
Kryss LaBryn
NEVER TELL HIR THE ODDS (OF A SLIPSHINE).
Rycan
I was trying to figure that out, as well. There’s a clear pattern, so I’m pretty sure that I could wrap it all up into one easy equation. Of course, trying to come up with that equation (without looking it up – that’s cheating!) is taking me much longer.
Of course, that total assumes everyone is bisexual, polyamorous, and open to incest. So… yeah.
Rorror
We get a constellation for every subset of at least size 2. There are a total of 2¹⁸ subsets. Subtract the singletons and the empty set and you have 2¹⁸-18-1 = 262125.
curiousgeorgie
And if anyone’s like me and didn’t get this intuitively, that’s because, for each of 18 characters, you either include or don’t include them in the Slipshine. So 2 possible options, for each of 18 people.
…do we have to subtract the singletons?
Reltzik
If you want to calculate the number of possible combinations of k people out of a total ensemble of n, the formula is:
n!
————-
k! * (n-k)!
Where the ! is the factorial operator, indicating that you multiply all positive integers up to that number. For example 5! = 5 * 4 * 3 * 2 * 1 = 120.
…. and here I thought I would be the only one cra-cray enough to do the math on this.
Ana Chronistic
I was always pretty good at solving math problems in school.
Remembering which formula to use for each problem is a different matter.
Reltzik
The trick for me was always remembering the REASON for the formula, and for the combination formula it’s pretty easy.
When you want, oh, let’s say 4 out of 18, you pick the first one at random. That’s 18 possibilities. Then you pick another one at random out of the remaining 17, giving you 18 * 17. Then another one at random from the remaining 16, then another one from the remaining 15, giving you 18 * 17 * 16 * 15. So you’re multiplying the top 4 numbers. If you had 20 possibles instead of 18, you’d still multiply the top 4 numbers, but the “top” would have moved a bit higher. If you wanted a combination of 6, you’d multiply the top 6 numbers. Generally speaking, if you have n possibles and want to get k out of them, multiply the top k numbers (with the top-most being n).
Someone once upon the time got the clever but confusing idea that 18 * 17 * 16 * 15 was actually 18!, 18 * 17 * 16 * 15 * 14 * … * 2 * 1, with everything past 15 crossed out. How do you do that? Divide by 14 factorial.
This gives us part of the formula:
n! / (n-k)!
Why? Because n – k (18 – 4 = 14 in this example) is where you start crossing numbers out from n!.
This is the formula for permutations, where order matters. Since order doesn’t matter, we also have to divide by the number of possible orderings, which is k!. This gives us
n!
————–
(n-k)! * k!
…. and no one’s reading this because the next comic’s up. Yeah. That’s the reason.