Your internship in Professor Ramsey’s

physics lab has been amazing. Until, that is, the professor accidentally

stepped through a time portal. You’ve got just a minute to jump through

the portal to save him before it closes and leaves him stranded in history. Once you’re through it,

the portal will close, and your only way back will be

to create a new one using the chrono-nodules from your lab. Activated nodules connect to each other via red or blue tachyon entanglement. Activate more nodules and they’ll connect to all other nodules in the area. As soon as a red or blue triangle is

created with a nodule at each point, it opens a doorway through time that

will take you back to the present. But the color of each individual

connection manifests at random, and there’s no way to choose

or change its color. And there’s one more problem: each individual nodule creates a

temporal instability that raises the chances the portal

might collapse as you go through it. So the fewer you bring, the better. The portal’s about to close. What’s the minimum number of nodules

you need to bring to be certain you’ll create a red or

blue triangle and get back to the present? Pause here if you want to figure it out for yourself! Answer in: 3 Answer in: 2 Answer in: 1 This question is so rich that an entire

branch of mathematics known as Ramsey Theory developed from it. Ramsey Theory is home to some

famously difficult problems. This one isn’t easy, but it can be handled if you approach it systematically. Imagine you brought just three nodules. Would that be enough? No – for example,

you might have two blue and one red connection,

and be stuck in the past forever. Would four nodules be enough?

No – there are many arrangements here that don’t give a blue or red triangle. What about five? It turns out there is an arrangement of

connections that avoids creating

a blue or red triangle. These smaller triangles don’t count because

they don’t have a nodule at each corner. However, six nodules will always create a

blue triangle or a red triangle. Here’s how we can prove that without

sorting through every possible case. Imagine activating the sixth nodule, and consider how it might connect

to the other five. It could do so in one of six ways: with five red connections, five blue

connections, or some mix of red and blue. Notice that every possibility has at least

three connections of the same color coming from this nodule. Let’s look at just the nodules

on the other end of those same three color connections. If the connections were blue, then any additional blue connection between

those three would give us a blue triangle. So the only way we could get in trouble is if all the connections

between them were red. But those three red connections

would give us a red triangle. No matter what happens,

we’ll get a red or a blue triangle, and open our doorway. On the other hand, if the original three connections

were all red instead of blue, the same argument still works,

with all the colors flipped. In other words, no matter how the

connections are colored, six nodules will always create a red or

blue triangle and a doorway leading home. So you grab six nodules and jump through

the portal. You were hoping your internship would

give you valuable life experience. Turns out, that didn’t take much time.

Get the solution to the bonus riddle here: https://brilliant.org/TedEdTimeTravel/! Also, the first 833 of you who sign up for a PREMIUM subscription will get 20% off the annual fee. Riddle on, riddlers!

WARNING.

spoilers down there.

Cross at your own risk.

Yay, I actually got it right.. ?

why cant she take more just in case?

Omg six infinity stones but theyre all time stones. Can thanos still kill half the universe

New theory: you take the whole box and throw down the nodules until you make a portal

Why do you have to take a minimum amount anyway why dont you just take the whole box with you

2nd riddle answer: throw 6 nodes into the portal and not go through yourself

When I heard that the professor’s name was “Ramsey”, it made me think, ‘Huh, that reminds me of Ramsey Theory.” Little did I know, that was the answer! Arggh, darn it!

i guessed five im mad. >:(

I guessed, and I was right. That my friends is called survival instincts.

I got it

Bring as many as you can and keep forming triangular portals.

EEAASSSYYY

It’s Ramsay not Ramsey!

So many people are saying omg i guessed 6 and its correct (i'm one of those)but i did had a logic

Easier explanation: With six nodules, each one needs to connect to five others, which means at least three will be in the same color. Now let's take one nodule and look at the end nodules of its three connections of the same color. These three nodules also need to be connected to each other, and if one of these connections is of the previous color, it will be a triangle with the starting nodule. If none of them are, they will all be of the same color, hence they will then form a triangle.

I would go back in time to when before I finished my chicken wings

bonus riddle is wrong bc you went in after him

Think 3D and the correct answer will be a minimum number of 4. Yes 6 is correct when we think 2 dimensional, but who says the nodules must all be on a flat surface? You CAN think 3D. Just put 3 nodules down on the ground shaped like a triangle. Hold the fourth nodule exactly on top of the triangle’s center above the ground. You now have a pyramid with 3 triangles in the air and one triangle on the ground. Now out of 4 triangles, you will always have at least one all-blue or all-red triangle.

This is good sense

You put 6 nodules

Portal opens

You get in completely

Unfortunately for you, you accidentally put tomato sauce on 1 of the blue nodules

Your stuck in between the space time continum

How unlucky you are

E

Either throw the box to the scientist or you jump through the portal with the whole box and start with three nodules and add one more each time till it works

Me: five sounds nice-No 6, 3 for 2 triangles.

Ted-ed: the answer is 6

Me: yes big brain time

fyi it's RamsAy !

3:38

Just grab him through, you have long enough arms

Just bring the entire box smh.

The animation is cute

"What's the minimum number of nodules you'll need to bring to guarantee you create a fully red or blue triangle?"

Me: Well, Prof., it was nice knowin' ya.

*take

what the minimun number you need to TAKE

m r r a m s e yWhy not just make another time portal with 3 nodes before you even go through the portal, then deactivate the time nodes, and go through the portal to save the professor with those same 3 nodes? Then if the portal fauls, why not just make more portals to save him, after you find which nodes you need.

I said six I win nice!

You bring a lot of them but only use them one at a time until a portal opens. You could get lucky and only have to activate as few as three.

My guess was right

Five. A square with one in the middle

What if you got all red or blue entanglements?

We need a game with this art style

To be completely honest I got it perfectly correct on my first try my logic was if there's two colors of lasers then if I bring twice the amount of lasers necessary then with the 50/50 split their there should be a more than even odds that a red or blue triangle would form

Me an intellectaul: I'll just take the whole box and keep on throwing some until I get a triangle because they only cause instability once used

Couldn’t you just bring 12, give 6 to the guy who fell in, make your own portal and then have him make one once you leave?

you have no time left because you the times run out while youre thinking of a possible answer

I did it but with a different mindset I just thought that there would always either be red or blue

Lmao,this seems like a good idea for a video game,

THANKSTachyon entanglement is impossible, Tachyons travel faster than light, which requires it to have no information, so what would you transfer?

I'd just yeet the box of modules through and let him figure it out

Bring the box of nodules and make a triangle like 100 times and you might get lucky and get a blue or red

Ummm is it bad i didn’t think this was hard

S

I

X

I solved it?

There are some possibilities you did not show for the sixth

In my opinion, this was an easy riddle

I would just take the whole box and test there

And they just have a bunch of time portal thingies laying around in a cardboard box.

Bonus is No

bonus riddle i just say bring 12 1 goes through if a portal is left u go through if not u throw the other 6 out for another portal

it's called 3 Sides x 2 states ( red or blue) = 6

Just take all of them for backup if your firdt portal fails 100% chance of going back

i guessed 5 since you'll either get a ratio of 4:1, 3:2, or 5:0 which will give you at least 3 nodules before throwing the rest away

i forgot the connection rule while doing this logic

So those pentagrams or hexagrams are people trying to make a time portal?

Bonus riddle: if you open two portals you create a time sh*t splattering continuum chaos that kills the entire universe, even worse than thanos snaps, because you give entrance both to the 50% thanos snapped in one timeline and the 50% he snapped in an alternate timeline, bringing complete destruction

Me:

grabs entire boxAlso Me:

gets backHOLY SHOOT I ACTUALLY GOT ONE OF THESE RIDDLES CORRECT

I was like "okay need three to form red or blue, two colors times three modules , 6!" I was high key being sarcastic BUT IT WORKED

This day will go down in history for me

#theanswerwassix

5

But… There was a box of them right next to the original portal….

Solution: bring 5 and you will have at least 3 of one color. Move them into the correct positions to link to each other and BOOM ur safe

Me: Wait so how many nachos does he need?

So let’s see here 3=1 portal 2 colors so 3×2=6

I just guessed 6 but I didnt know it was right

Cos I just did 3+3 lmao

I actually got this because it’s just a 50/50 chance

Take a bunch and calculate when you get there, bring the extra back.

4:02 yes

cause didn't they say that no matter what you do there will always be a red or blue triangle so you use the blue triagle then the other uses the red

Me watching Ted-Ed’s riddles: how do I always end up in these mathematical situations? •.•

All of the nodules and never said you have to activate all of them

3:38 WHAT

Hmmm yes 1 minute

Imagine if our character in these riddles didn't immediately know the answer to these problems…

"Professor, no! Ah, alright. I've got one minute. Er, each module links with another in a random color, how many do I need to bring? I'll just take several and join them together! No, too many will cut my arm off… Hang on, what if I made several sets of 3? It must work at some point!"

"…Wait, the one minute's gone. Ah well. Wait, there's a Ramsey Theory book in the lab that described the purpose of the problem, and my mentor wrote it? Why didn't I read it?"

Just bring all of them and build multiple portals

Professor Ramsey

Gordon Ramsey

But in 4 nodule sa also gives 3 connections

6 cubes

Just bring the whole box, and keep trying with a few until you get it,

You didnt show the other combination the 6 nodes could have. What about 1 one having blue nodes and the rest red or vice versa. There are more than just 6 combination

Can I not just yeet the entire box through and keep trying the nodules until I get a red/blue triangle?

I solved your riddle

I DID IT

3 out of the hecc ton of riddles to do.

Oh I really did not understand the riddle at all

is 6

The answer is:

It's called a Co-ed not internship it's not the same thing when you work under a professor ?

Is. Leave. Possible?

Why can’t you just take the entire box? You can do trial and error all you want, and you can make multiple portals so both of you can escape, if the bonus riddle was in the situation

Yes

I'm I the only one concerned that the minimum number of Chrono nodules needed wasn't drilled into everyone's head?

HAHA I got this correct!!!

Wait…before you needed a doorway.. THEN YOU FORBID THE THING YOU NEED

Edit: oh…you were saying how many u need…ok

Ted-Ed: " Can you-"

Me : " NO!"

Ted-Ed : " But- "

Me : " Well I'm gonna see the video anyway "

2:24 that sounds like a rare snyptcope sound

Guesses. Umm 6? Learns I'm right HECK YEA

For the bonus riddle: 2 people can jump in at the same time

I'm actually surprised I got it right