*fast reblogs your cool thing*

| hey/hem/heir. Basically a place to reblog everything I see without worrying about getting the tags right |

[halloweenskellington]

[chongoblog]

Oh yeah? If you know numbers so good, solve 3x+1 then

I tried 8 and it immediately went back down to 1 so I’m pretty sure it’s solved. You’re welcome, Pythagoras

[chongoblog]

OH BOY OH BOY I GET TO EXPLAIN 3X + 1

So just “3x +1″ is an expression, not an equation, however it’s also shorthand for an infamous mathematical problem known as the “Collatz Conjecture”. It’s a very, very, VERY simple question that still has mathematicians scratching their heads.

The premise goes like this:

Take a number (a positive integer) and call it “x”.

If that number is even, divide it by 2. If the number is odd, then multiply it by 3 and then add 1 (3x + 1). Repeat over and over again. (so you could go 3, 3(3) + 1 = 10, 10/2 = 5, 3(5) + 1 = 16, etc.)

The Collatz Conjecture (aka the 3x + 1 problem) states that eventually, this sequence will always lead you to the number 1 where it loops 1=>4=>2=>1=>4=>2=>1=>4=>2=>1 forever, regardless of which number you start this sequence with.

Now, there is no proof that this is true or false yet (hence the “conjecture” part).

If you want to disprove the 3x + 1 problem, all that you have to do is find a positive integer that does not ever make it to 1, either by finding a closed loop of numbers that ISNT 1=>4=>2=>1 or by finding a value that just has it keep increasing to infinity (7=>22=>11=>34=>17=>52=>27=>82=>41=>122…..while this sequence does end up coming back down to 1, people theorize there could be a starting point where it just keeps going up and up and up forever). If you can just find ONE, then you will have successfully solved 3x + 1.

But to this day, every single positive integer has been tested from 1 to 2^68 (or approx. 1-300,000,000,000,000,000,000 (300 quintillion). None of them have proven to be an exception.

But any Cookie Clicker veteran knows that 300 quintillion is child’s play. A number that makes an infinitesimal speck of dust look like a god damn multiverse in relation to infinity. And we don’t exist outside of time (yet) so we probably aren’t going to be able to test an infinite number of positive integers.

So if you want to prove the 3x + 1 problem, you gotta make a proof. If you’ve never done mathematical proofs before or don’t know what they are, remember back in school when your teacher gave you those “Solve for x:” questions and you had to move numbers and variables around until you got the right answer? Yeah, you gotta do that. A lot. And you MIIIIIGHT be able to get to the right answer. That triple dot thing from Beginner’s Guide shows up there although it’s upside down apologies I am very tired, and like the Beginner’s Guide, crying once or twice is completely normal and even expected.

But no one has been able to make a proof yet. So there 3x + 1 stands to this day. The most deceptively simple math question that has stumped mathematicians for decades. If you want a more in-depth talk about this problem, this video does a fantastic job going into the details.

Thanks for giving me the chance to talk about math!!!!!

[chongoblog]

Fun Fact: The Collatz Conjecture was found in 1937, which means we have 11 years before this problem is 100 years old.

16 years ago, an esteemed mathematician (to my knowledge) said that this problem is “an extraordinarily difficult problem, completely out of reach of present day mathematics”

[dailyralsei]

drawing streak: 508 || full 1,000+ ralsei archive

[ikimaru]

when you leave for 30 minutes and all you friends turn emo

[slugg]

Hello Billy. Papa is out of the evil warehouse today. Before you is a set of colored pencils, a book of shapes and numbers, and a coloring book consisting of gruesome depictions of my best traps. You may also watch some television. There is orange juice and leftovers in the fridge which you must finish in 12 hours, or else they will go bad. Love you son

[veliseraptor]

i am terminally A Sucker for characters who have a towering and generally earned ego about their own ability and absolutely no self-worth about themselves as a person at all. intoxicating combo.

[where-does-the-heart-lie]

We’re reaching the lightning round part of the month. I have 6 more left until I’ve revenged EVERYONE from past years. I’m hoping for 3 tomorrow and 3 the next day.

@prunplee, @poofinson on instagram, @jiffy-jeff, @anizomdraws , @heisoark , @quantumart713

[wolfy1298]

Zhongli: I’m here to return your father

Dvalin:….

[askoverkill]

…start again?

[Overkill is made by Pedro and Sam]

transcript below:

(...)

(...You open your eye.)

Nghh... m-maybe this way?

Come on, everyone, it's got to be... one of these...?

(You try to speak)

(You say: "Where are we?")

You're awake. How are you feeling?

(How you're... feeling...?)

(Uh... Pain.) (Your heads swimming.)

(What's going on? Where are you? What's with these shades? The air???)

(It feels wrong.) (Bad.)

(You always try to look away.) (They make you sicker.)

Siffrin, do you know where we are?

(You try to look-)

(GUGH... ow ow ow.)

Siffrin?

(Ugh.) (You can't look around.) (Think.)

(You give them your old reliable: "We're at an inn.")

...Do you know what day it is?

(Uhhh...)

(It's...?)

What time?

(You say... "Morning?")

Gems alive.

(Oops. Seems you failed that test.)

[askoverkill]

The gun has to work. There's no way it wouldn't.

[Overkill is made by Pedro and Sam]

transcript below:

The gun has to work. There's no way it wouldn't.

Okay, that settles it then. We can move on.

(What?)

(Why would that be good enough?) (She trusts your word?!)

(They don't care because they don't know you.)

(That's what the Director's been trying to tell you this whole time, right?)

(You hide it, you can't let them ever know what you've done, but they'll find out.)

(And they are! They know now you're not a human being!)

(It won't be long until they learn what you've done.)

(You're not just rotting on the outside.)

(You're rotting inside too.)

(You're-)

No, you don't get it! I'm the Dir-

CRACK!

[askoverkill]

“Is that… bad? That were copies?”

[Overkill is made by Pedro and Sam]

transcript below:

Is that… bad? That were copies?

Siffrin, no! Of course not.

What?! Buddy, we don't care, we're just worried?!

Let's keep walking, please.

I do not intend this to be a confrontation, Siffrin.

We simply need to know what you know about the Director. Any information can aid us in our mission.

Will using a gun kill them?

And is killing their vessel enough to kill a god? We've seen it destroyed before.

Has this mission been doomed from the start?

(...They don't care?)

(You're a copy of the villain they're here to kill, and they don't care?!)

[askoverkill]

It’s a bit more complicated than that but I didn’t really know until recently.

[Overkill is made by Pedro and Sam]

transcript below:

...It's more complicated than that.

Hah, I'd imagine.

I only found out recently.

Please don't lie, Siffrin.

Both you and Dusk are Siffrin copies. You knew him before we met.

Is... this supposed to be news? I thought it was pretty obvious...

Dawn, we can't bell our way out of this.

(You know that.) (Blinding stars, you know that.)

[askoverkill]

Comfortable you two?

[Overkill is made by Pedro and Sam]

transcript below:

Are you two comfortable?

...

...

Okay, then how about… as comfortable as you can be…?

I guess.

I'd like us to walk and talk.

(You stare at your hands.) (You squeeze them into fists.)

(...You can move them. That's all that matters.)

Okay. Let's go then.

DEAD END right arrow

...Do we go this way anyway?

I'm not trusting the Director.

But it IS an obvious trap... and I don't have any déjà vu here.

"She'd say something like 'Hey idiots, didn't you read the sign?'"

Too obvious. The Director's toying with us. Let's try elsewhere, and if needed, we can come back.

...Fair enough.

What kind of evil god helps their victims???

...The stupid kind? I don't know. The Director's weird.

(Your heads pounding from pressure.) (You feel sick.)

...Were you ever going to tell us the Director created you?

(You stop.)

(Uh, did you just hear her correctly?)

We agreed to talk as we walked. Let's keep going.

[askoverkill]

Does he have any questions?

[Overkill is made by Pedro and Sam]

transcript below:

Uh, any questions?

What's with that shade you're leaking? The rooms full of it too.

Oh, that's my blood. It's Cursed, and that means it has color.

...I regret asking.

Dusk! Siffrin! Good news!

We found a wheelchair. Isn't that wonderful?

It was just outside the door. The Director must have given it to us.

And yes, I already checked, it does not explode upon the user sitting.

(...A wheelchair.)

(Dusk could've just had a wheelchair last time.)

H-Hey, don't look at me like that. I didn't know that was going to be there.

(Breathe.) (Just breathe.)

That's a relief! Great thing the Director cares SO much about accessibility.

That is the most pained I've ever seen you smile, Siffrin. Impressive.

...Anyway, it really is a good thing. Now when I pass out, Isabeau will only need to carry me.

...

Can... I sit on the other's lap?

I'd... really prefer not to be on someone's hand...

(Oh...) (That's... yeah. Okay.)

(You temporarily hand "Polaris" to Mirabelle.)

(Stars, Mirabelle didn't perk up at getting to hold them.) (Things truly are dire.)

(...You help dusk up into their wheelchair.) (Once seated, you take Polaris back and place them on dusk's lap.)

...That's amazing.

It's quite the sight.

What? What is it?!

It looks like you're floating!

…Ha.

(Huh? Isabeau put his mask back on.)

Dusk is invisible to us. That makes you appear like you're levitating.

Okay.

[askoverkill]

What would even be a normal way about talking about this. Everything is really messed up.

[Overkill is made by Pedro and Sam]

transcript below:

How else am I supposed to say this?

We don't have any time, I'm getting closer to dying as we speak, dusk.

Okay, that's enough! This isn't real. I don't care. How can I wake up?

[You could kill them.]

For the love of...

What? What is it?

[Spare them the torture, dawn.] [They'll be erased anyway.]

You really have that little hope in us, Loop? We're not doing that.

Loop?

Don't worry about it. Dream or not, we'll protect you. We're going to get through this.

...Okay. In that case I'll pick my name.

I'll be... hm... how about "Polaris"?

You don't want to pick something to match us? We're "dusk" and "dawn".

No. I don't know you people.

Or, I guess I do? If we're all Siffrin???

Yep. That's how it goes at the start.

[Dawn, I urge you to at least reconsider.] [You've gotten this far. You know what this one's already experienced.] [It's going to get worse.]

[If you could go back and stop yourself from ever feeling any of that...] [Would you?]

(...Of course not.)

[Are you sure... you don't want to at least offer them a way out?]

(You wave your hand around as if Loop is an annoying mosquito.)

[...Okay, fine.] [It's not my place to tell you what to do.]

[Look after them.] [In the end, you only really have yourself.]

[askoverkill]

Take this time to get to know this Siffrin. “We’re both Siffrin, too. I know I called you Pluto- would you like to be called something else?”

[Overkill is made by Pedro and Sam]

transcript below:

(Okay! You don't have long to talk, so you better make use of this!)

Hi... we're Siffrins, too. I know I called you Pluto, but would you like to be called something else?

I'm Siffrin. This is my dream. Why should I be called something else?

Because it's... not... a dream.

Um, so, the original Siffrin killed people and then became a god. As a form of punishment, they created us to suffer for eternity for them.

Woah, dawn. Maybe don't lead with that???

Uh...

But it's okay! We only have one more torture game, and then we'll kill the Director, and we'll be free!

...

...Dawn, what is wrong with you?

W-What? I mean, that's what's happening??? I'm not lying???

[askoverkill]

You probably should've expected that. Siffrins always seem to be, after all.

[Overkill is made by Pedro and Sam]

transcript below:

My bad...

What? That doesn't-? You cannot be in your twenties. How can you speak? Let alone understand us?!

I can speak because I'm not a baby??? Stars, you giants are rude.

I...

I apologize. That was impertinent of me. You are obviously an adult, I will treat you as such.

...Thank you.

But you must understand, to our perspective you were, literally, created out of thin air five minutes ago.

Those clothes are pretty detailed and worn in for someone who was just created into existence.

What do you remember? Who are you?

(The small Siffrin shuffles around in your hand.) (There's nowhere to go, so they end up curling against your thumb.)

I'm Siffrin. I was just east of Rapidebourg in Vaugarde. At my campsite I was... taking a nap and... this nightmare started...

This is a dream, right? Can you make it stop? I'd like to wake up now, please.

(The only "stop" is death.)

(Or... in this case, "never existing".) (You doubt the Director would suggest four rounds again.) (This Siffrin isn't going to be created again next loop.)

(And... you're not going to give up.) (No matter what. You won't kill yourself just so this little Siffrin can exist.)

(There's...)

(Nothing you can really do for this one unless...)

(You make sure this is the final loop.)

(If the Director is killed, all the timeloops end for good.) (And this Siffrin will live.)

...Everyone, we need to talk. Alone.

Okay. No?!!

You're OBVIOUSLY going to be talking about me?!

And, and I'm in this nightmare, I don't want to be alone?!! I'll be killed again!!!

Hey, uh, if I could say something...?

DUSK!!! Oh my stars, are you alright?!

Yeah, yeah, sorry. I saw you were caught up in the little one's circumstances. I don't mean to interrupt.

I think losing control of your limbs is a substantial reason to interrupt, dusk!

OH NO! Dusk, oh my change, you lost your control of your limbs?!

Despicable. Making the game's results permanent-

Hold on?! Siffrin, does that mean your limbs have been effected too?!

Um. Oops.

Please communicate you two?!! You shouldn't be hiding things like this!!!

Nightmare, nightmare!!! Please stop shouting!!!

AUGHHHH... sorry little fella I'm so sorry!

Siffrin, Dusk, speak up, please. We want to help, and we can only do that if you tell us what's wrong.

"I'll... try to... next time???"

"Anyway, why not keep the Siffrins together while you all talk."

Maybe I could heal-?

"No, this is the Director's work. I'll recover when she's dead."

We need to hurry. Let's ensure these talks don't take long.

(Your party rushes to outside the room to talk.) (You carefully settle next to dusk, leaning against their shoulder.)

(There's three of you now...)

(Or, rather, four, but you don't like to count that one.)