Getting a lot of comments about this so I wanted to pin a comment regarding the 'minimal puzzle'. A lot of people are asking why 80 isn't the max number of clues for a minimal puzzle or 79, or 78 or something). For the puzzle to be minimal, you need to be able to remove ANY of the given clues and be left with a puzzle that has more than one solution. If you have 80 clues you definitely have a single solution, but if you remove one then you still have a puzzle with one solution, thus not minimal. If you have a puzzle with 78 clues then it IS possible to remove one and be left with a puzzle that has 2 solutions, however you have to be able to remove any clue, it can't just work with a few of them. That's why the maximum number we THINK is 40.

@sopeechang6253

4 жыл бұрын

Zach Star yass queen

@datguiser

4 жыл бұрын

Here is a reason why the Euler Brick problem would not be solved. a2+b2=x2 a2+c2=y2 b2+c2=z2 a2+b2+c2=d2 What they didn’t say is that, through manipulation, 2d2=x2+y2+z2 and the thing is that square root of 2 is irrational, and so it would be hard to work stuff like that.

@KronikAlkoholik

4 жыл бұрын

Other way to think about that is, what is the maximum amount of clues you can give and still have more than one solution. Add one to that and you will have a minimal sudoku I guess.

@alansmithee419

4 жыл бұрын

@@datguiser so sqrt(x^2+y^2+z^2) also has to be irrational (a multiple of sqrt(2)?) For this to work. I may be wrong, but it seems to me that x^2+y^2+z^2 is a non-perfect-square power of two.

@esow4742

4 жыл бұрын

Zach Star i actually did that 41 puzzle you showed on screen at 10:28 and got more than one solution but i don’t know if that was the point of it or if it was supposed to be minimal

Me: he's probably gonna say some stupid number like 17 Him: the highest we can go is 17 Me: :O

@hair7402

4 жыл бұрын

me:o

@RogueEvasion

4 жыл бұрын

me: :O

@johnpaul531

4 жыл бұрын

Me: :0

@notnotandrew

4 жыл бұрын

You can easily take this to infinity though... If the number line ranges from 0 to 1, you just put point number n at (n-1)/n + epsilon. Of course, you end up crowding points in very close near the right side, but nobody ever said they had to be equally spaced. I may be missing a constraint of the problem.

@filippocaccin6920

4 жыл бұрын

@@notnotandrew nice method but if you try it you'll see that it does not work for n>3

*Perfect this is exactly what my procrastinating brain at 3am needs.*

@FranciscoGonzalez-hz2bn

4 жыл бұрын

Anushka Uniyal bro 3am in my city and i have a lot of homework to do, and I’m watching this, totally feel you bro

@dibbolistening

4 жыл бұрын

@@FranciscoGonzalez-hz2bn Bueno Diaz ! "It's a her" Anushka is a lady. Indian

@aquamarine245

4 жыл бұрын

That's 5am for me and no, I'm not a morning person.

@AlaricTheophilus

4 жыл бұрын

Literally me

@ifusubtomepewdiepiewillgiv1569

4 жыл бұрын

Anushka Uniyal I am literally doing the exact same thing rn

I’ve had my eyes open for 10 minutes can I blink again now

@wtx2992

4 жыл бұрын

No

@lilimo1384

4 жыл бұрын

It’s been a week, how are you feeling?

@billywhizz09

4 жыл бұрын

I’ve been bumping into things and I’m not sure if I’m in the right house

@wtx2992

4 жыл бұрын

@@billywhizz09 you have my permission to blink again, I am sorry

@billywhizz09

4 жыл бұрын

omg thank you ahh that feels so good my eyes feel refreshed again now

About the circle thing with the points, easy, flow free trained me for that

@ChrisSucks

4 жыл бұрын

lemme introduce you to a thing called piracy

@starriumm

4 жыл бұрын

Thats what I thought 😂😂

@mechanicalhands6866

4 жыл бұрын

That's so true ahaha

@mirianraamat6759

4 жыл бұрын

Flow free is for the weak. I play flow free hexa

@omnikar5

4 жыл бұрын

Mirian Raamat same but I finished all of them sadly

"do not blink" me:"blinks" *flicks the card* me: *doesnt blink*

@YtXenoBS

4 жыл бұрын

Happened to me aswell

@ladripper47874

4 жыл бұрын

How does it work?

@pseudotaco

4 жыл бұрын

@@ladripper47874 kzread.info/dash/bejne/f46Kp6yvoqTJhdI.html

@davincent98

2 жыл бұрын

Ditto

@rociopaoloni5080

2 жыл бұрын

I didn't blink but I looked to his fingers and feel like I just missed something by looking there and not the whole hand with the card

"I memorised them for this video" Brings out a piece of paper

@locklick_6515

4 жыл бұрын

I was looking for this comment lmao

@arya6085

4 жыл бұрын

That's the joke

@Astitva

4 жыл бұрын

I read this as he did it

@Zekromaster

4 жыл бұрын

He memorized them on paper.

@Mochazuki

4 жыл бұрын

weedbong_ same man. I knew someone would bring it up in the comments.

7:07 Ahh the Classic Memorization technique. Works really well when the Teacher is not looking.

@loturzelrestaurant

2 жыл бұрын

Anti-Science is on the Rise. Uneducation causes Muffled Logic to be be more and more accepted, so casual B.S. is getting more and more popular. People embarass themselves all the time now by claming NASA is faking the Sun, the moon is a hologram, the Earth is flat, Aura and Chakra are kinda Science, so trust me bro, i know we are all immortal - oh, and one last thing: Koalas are Fake; they are ALL CGI. All.

@AlwaysOnForever

Жыл бұрын

Lmfao

@UNPOPULAR69

11 ай бұрын

😂😂😂

Me on the circle puzzle : "A-s are already connected"

@ununun9995

2 жыл бұрын

Mhhhhhh👀

@fredriklarsson1707

2 жыл бұрын

D is invetween

@snifferrr

2 жыл бұрын

@@fredriklarsson1707 the line for d wouldn't touch the line for a though

@fredriklarsson1707

2 жыл бұрын

​@@snifferrr Im sure that with the distance of solution, that the circle is a part of the line marked as a begining and endpoint to clearify the distance

@snbeast9545

2 жыл бұрын

@@snifferrr The lines for the Ds and As would touch at the point D on the perimeter.

Welcome to electrical engineering Where Numbers are imaginary And So are Women This channel has the best nerdy stuff ever.

@xxxy912

4 жыл бұрын

We share a lot of courses with medical engineers, plenty of women there ^^

@jacobmfamexo

4 жыл бұрын

2 years into my electrical engineering career, and can say that this is false. My Configuration Manager is a woman, and I still visit my mom from time to time.

@user-sr6ys3ff8g

4 жыл бұрын

I became depressed 2 months into electrical engineering

@formerlycringe

4 жыл бұрын

Air Crash I'm CS, we have women 😎👍

@admiralhyperspace0015

4 жыл бұрын

I am a physics major and we have more women than men in my country. Too many are also bad.

Is an almost perfect Euler Brick called a Parker Brick?

@Solrex_the_Sun_King

4 жыл бұрын

Dunno who that is, but I’m still laughing cause I can only imagine Parker failed to make the first Euler brick.

@ffggddss

4 жыл бұрын

@@Solrex_the_Sun_King That's Matt Parker, channel name "standupmaths." Also makes frequent appearances on Brady Haran's Numberphile channel. Look up, "Parker Square" for the reason for the main comment in this thread. PS: I forget whether the Parker Square video is on standupmaths or on Numberphile. Fred

@NunuBot

4 жыл бұрын

This comment made my day😂😂

@TheDannytaz

4 жыл бұрын

He will never live that down

@samuelthecamel

4 жыл бұрын

Even on other channels, there's still references to the Parker Square. 🤣

The thing that surprised me is how casually you mentioned a²+b²+c² as equalling d² to find the diagonal of the box. I suppose it makes sense that it simply extrapolates Pythagoras to the 3rd dimention, but I've never seen this equation before.

@danielyuan9862

Жыл бұрын

You can just do two pythagorean theorems. It's pretty cool when you learn that the pythagorean theorem extends to 3 dimensions like that.

@aidenvonfluee9239

Жыл бұрын

But you always get pi

@ligafftheindifferent3495

Жыл бұрын

@@danielyuan9862 So I assume it extends to n dimensions.

@gf1006

Жыл бұрын

@@ligafftheindifferent3495 4 dimensional pythagoras’ gets tricky, but it is theoretically possible - just don’t ever try it

@CalculusPhysics

Жыл бұрын

@@gf1006 it’s really not though? like you can generalize the pythagorean theorem to any number of dimensions by adding another +x² term (like a² + b² + c² + d² + e² + … = h²) . that’s actually how you figure out the length of N-dimensional vectors

Him: shows dots in circle puzzle Me: _laughs in Flow Free_

@I_killed_that_beard_guy

3 жыл бұрын

No replies

@I_killed_that_beard_guy

3 жыл бұрын

So I replied :D

@commentor5479

3 жыл бұрын

@@I_killed_that_beard_guy No replies to your reply

@commentor5479

3 жыл бұрын

@@I_killed_that_beard_guy So I replied :D

@I_killed_that_beard_guy

3 жыл бұрын

@@commentor5479 :D

"Let's look at an example much similar." _transition_ *ad begins* "wanna go to red lobster on the way home?"

Edit: The channel name has now changed! For those just coming across this video, this channel was called MajorPrep but now is just my name (all majorprep related links still work though). Hey guys! Gotten a few comments about this already so I’ll just address it here. This will be the last video put out under the name ‘majorprep’, channel name is changing in about 5 days (right before the next video is released). This video was supposed to be out New Year’s Eve but there was a delay which is why I had to push back changing the channel name just a bit. Enjoy!

@outside8312

4 жыл бұрын

What's it changing to?

@trianglesupreme

4 жыл бұрын

@Canol Onar ( ͡° ͜ʖ ͡°)

@jaybingham3711

4 жыл бұрын

How much prep did you undertake in making this decision? Might it have been a significant amount?

@kaelanmick3065

4 жыл бұрын

Perfect euler brick? A=440000000 B=1170000000 C=2400000000 D=2706011826 X=1250000000 Y=2440000000 Z=2670000000

@nnslife

4 жыл бұрын

@@kaelanmick3065 No: D*D=7322500002451854000 A*A+B*B+C*C=7322500000000000000

r/showerthoughts: it's free real estate

@I_killed_that_beard_guy

3 жыл бұрын

When you got 462 likes but no replies :(

The Perfect Euler Brick is the Zero Euler Brick.

@choccymilk1233

4 жыл бұрын

Not Your Average Nothing but then the brick can’t exist realistically so...

@NotYourAverageNothing

4 жыл бұрын

FpS Blitzzz It forms a brick black hole.

@Ivan-yy4ng

4 жыл бұрын

Ur so big brained

@pwhnckexstflajizdryvombqug9042

4 жыл бұрын

Or the Infinity Euler Brick

@NotYourAverageNothing

4 жыл бұрын

El Emeno Pea infinity isn't an integer

Surprised on how u didn’t go over how that there’s more ways u can order a typical 52 card deck than seconds since the Big Bang (52 factorial)

@zachstar

4 жыл бұрын

Yeah that and the fact that if you shuffle a deck then you likely have come across a combination that has never been shuffled before, very mind blowing to me. I learned that a while ago though and guess I was just focused on things I learned recently.

@abijo5052

4 жыл бұрын

@@zachstar That's true in theory but probably not in practice-humans are really bad at shuffling cards

@Leyrann

4 жыл бұрын

@@abijo5052 As long as you use a proper method of shuffling (spreading all the cards, moving them around, and putting them on a stack is the simplest one), yes, yes it's true. After all, a proper method of shuffling means you (almost) randomly take one of the 52 factorial ways of ordering, and 52 factorial is about 80658175200000000000000000000000000000000000000000000000000000000000. Which, for the record, is about 20000000000000000000000000000000000000000000000000 times more than the amount of seconds that have passed since the big bang (which is about 4000000000000000000 seconds).

@Leyrann

4 жыл бұрын

@@abijo5052 Huh, I think YT deleted my comment for spam due to the amount of zeros I put into it. EDIT: Oh, it didn't, YT was just messing with me and not showing the comment. Anyway, you have two comments now. Anyway, yes, if you shuffle your cards PROPERLY (that means any method where there's significant variety in how the cards end up being ordered simply through the movements you make, the easiest way to ensure this is putting all the cards on a table, spreading them, shuffling them around, and then putting them back on a stack), it has a very high chance to be a unique method. 52 factorial is almost 10^68, which is about a quintillion (a billion billion) times more than the number of atoms that together make up earth. Like, you can mess up your proper shuffling badly enough to lose 20 factorial (meaning 20 cards are guaranteed to be in an order you have seen before) and you still have (to use the previous comparison) more options to order the cards than there were seconds since the big bang. The amount of seconds since the big bang MULTIPLIED BY the amount of seconds since the big bang options, to be precise. Well, and then again some ten times as much, but we don't count such little differences.

@Cameron0208

4 жыл бұрын

There is more chance of the atoms lining up and your hand passing straight through a table than shuffling a deck and getting a combination that someone else has already shuffled

About cards 1. The suits come from the Tarot deck: swords->spades, wands->clubs, coins->diamonds, cups->hearts. They are not based on the seasons. 2. There were originally 14 cards in each suit. In addition to the Knave(Jack), Queen, and King, there was a Knight. 3. The jokers are remnants of the original Trump suit of 21 unique cards. So all the coincidental numerology you mentioned is just that-coincidence. If you look for such things you can easily find them anywhere. Humans create patterns where none really exist - constellations are an example. Stars of different brightness scattered across the night sky, and humanity joined them together in arbitrary patterns then assigned them arbitrary meaning (even the lines making up the "dippers" don't look anything like bears). Humans are pattern seekers, and tend to ignore data that doesn't match the pattern they decide to see.

@goodyking6732

Жыл бұрын

I decided to see 13 cards in a suit, which is for 12 moons in a year with a spare for when there is 13 full moons. I like it can be used as a calendar. That it is not supposed to be is just more ingenious.

@TheJacklikesvideos

Жыл бұрын

and where do you think the tarot suits come from? i can accept that 13! averages out to seven days per 52 is possibly somewhat coincidence, but the fact of the matter is that celestial clockwork was a driving or inspiring factor throughout all early cultural history until electrification.

@aaronbredon2948

Жыл бұрын

@@TheJacklikesvideos the suits came from the Mamluk swords, coins, myriad(cup shape), and polo sticks, representing military, mercantile, spiritual?, and sporting. But the suits originated from chinese cards where the suits were: Cash (coins) -> coins/diamonds Strings of cash -> polo sticks/clubs Myriads of strings of cash (10 strings each) -> cups/hearts Tens of Myriads of strings of cash. -> swords/spades And the chinese cards were 1-9 in each of 3 suits (27 cards) possibly with 12 or 13 in the 4th suit (39-40 cards) if there was a 4th suit. The 1-9 in 3 suits continued to Mahjongg. It is interesting to look at this and realize how much changed based on there being only symbols on the early cards. As the cards moved westward, the images got reinterpreted, then redrawn, just like the game of telephone.

@BiggerBear

11 ай бұрын

Another fun fact is you can shuffle any 52 deck of cards and you will most likely be holding a deck that nobody in human history has ever held.

@larrynelson4909

11 ай бұрын

​@@BiggerBearnot probably you really will be holding a shuffled deck that has never been before it's the 52! factorial

That first one, the smart ass in me came out, you can’t “leave” the circle if you don’t enter it in the first place, the A line would just go on the outside

@casadebang6590

4 жыл бұрын

I did the same xD I was thinking it was similar to another puzzle I've seen and just went with it

@ani_n01

4 жыл бұрын

My A-A traced the circle lol

@bulb9970

2 жыл бұрын

I thought about connecting on top of the circle’s circumference

Wow. The "connect the dots without leaving the circle and without intersection" one really sparked my interest: even without knowing about omeomorphic transformations (aside from really superficial facts), it hit me. I feel there is something deeper about thought processes in general, not only "strict" mathematical reasoning. Very beautiful

@JerseyGriff

4 жыл бұрын

Russell Teapot look into group theory

@Stratelier

Жыл бұрын

Not all rules and conditions of this puzzle were intuitively given by the thumbnail. Namely, by "line" we intuitively assume "straight line" when the solution is merely about nonintersecting _paths,_ in which case there are actually multiple possible solutions. Mine for example: - Start drawing paths from D,A,C on the lower left edge, each of them circling clockwise around point B near the center. Paths D and C will connect to their endpoints while path A must emerge between them (and continues onwards). - Now draw paths with A and B as a pair, each circling counterclockwise out of the center. Path B connects to B on the edge, with path A on the correct side of path B to continue onwards and connect to point A on the top edge.

About a deck of cards: I was always told that the kings are meant to be real people. Julius Caesar, Charlemagne, Alexander The Great

@callisto5097

4 жыл бұрын

And the fourth one?

@ironichoodies

4 жыл бұрын

@@callisto5097 Genghis Khan probably

@davoodoh3137

4 жыл бұрын

Pretty sure Genghis Khan isn't on a regular bicycle deck

@killerk8t

4 жыл бұрын

francisco jimenez de cisneros, because nobody expects the spanish inquisition!

@sage1613

4 жыл бұрын

Rebecca Alderstorm bill

Thanks to my expertise in the game “Flow” that puzzle was cake

The paths in a disc problem is also easy if you just realize that path A divides the disc in two. For all pairs of path endpoints, keep them on the same side of path A (i.e., the same segment of the circle), then realize that no other path cuts its containing region into multiple pieces, so you can just connect your remaining endpoints in turn, in any order you want.

This is practically the only math lesson I’m willing to listen to

@loturzelrestaurant

2 жыл бұрын

Anti-Science is on the Rise. Uneducation causes Muffled Logic to be be more and more accepted, so casual B.S. is getting more and more popular.

Finally a random KZread algorithm video that is fun and within my interests.

@loturzelrestaurant

2 жыл бұрын

Hi. Know Sci Man Dan? The funny education-youtuber?

The letters on the circle puzzle is fun. It's similar to a game called "Flow Free" which contains colored pairs of dots on a grid. You have to connect the pairs without crossing lines. Puzzle sizes and number of pairs varies as the game increases in difficulty. Very addicting.

Addition to the card deck: 13 types of cards = 13 week in one season 12 "picture" cards (J,Q,K x 4) = months in year

@mate_on_f7916

3 жыл бұрын

Oh what???

@MichaelTilton

2 жыл бұрын

The design on the 8 Card makes an 8

I love how while you were explaining the euler brick i was wondering about if there was also a solution which included(the not previously mentioned) d. I was surprised that this was the problem, and how it wasnt solved yet.

If there werent at least 5 moments in this video where I paused and my jaw dropped to the floor, there were none

@yesthatsme4799

3 жыл бұрын

Lol

OK, I thought the first problem was simple: A and A are already connected by a line (the line that makes out the circle).

@engtilde

Жыл бұрын

Nope

@Kualinar

Жыл бұрын

Not at all. That line pass through at least another point, and that's not allowed.

So.... does the phrase "Euler brick" make anyone else immediately picture a stick of butter, or is that just me?

I'm surprised how big the smallest side number for the perfect Euler brick is.

@netpilot5

4 жыл бұрын

And that’s *if* one exists, so it may turn out to be not surprising.

I hate playing cards in the White house. The president always has a trump card.

@dryjoints454

4 жыл бұрын

AAAAAAAAAAAAAAAAA

@ffggddss

4 жыл бұрын

Make that, "playing contract bridge," and it's even better. Fred

@jayfredrickson8632

4 жыл бұрын

But he's the joker.

@DarkEagle-vx9hd

4 жыл бұрын

Good one!

@ViratKohli-jj3wj

3 жыл бұрын

@@jayfredrickson8632 obama is the joker

5:41 I found it amazing that the placing points in a "rectangular region" puzzle extends all the way up to 17. I would have guessed it would break down below that.

So, I really like his videos. They seem so relatable because this guy approaches it from an engineer's PoV while learning something new! Amazing stuff!

me at fiest: that's a video about some random silly thigs i can understand me at 6:08 : nope,you lost me there

Important: Is there any research on a 4- or higher dimension euler brick?

@flowerwithamachinegun2692

4 жыл бұрын

Surely someone must have thought about generalising the problem to further dimensions. But since the existence of a peefect euler brick is still unsolved, I doubt one can prove the existence of a 4 dimensional brick

@oldvlognewtricks

4 жыл бұрын

Each of the ‘faces’ of a 4D Euler brick would be a 3D Euler brick, so my instinct is you’d have to prove the 3D case first. Unless you define a 4D Euler brick in some other way... Unsure what other definition would be reasonable for a 4D case.

@n8style

4 жыл бұрын

Isn't that Fermat's last theorem?

@toniokettner4821

4 жыл бұрын

nabiddy badiddy no, because whatever dimension you go in, you will only need squares and square roots to calculate lengths

@n8style

4 жыл бұрын

@@toniokettner4821 ah yes of course you're right

What you mentioned at 02:45 is basically what thoeretical computer science lives and breathes for. Breaking hard problems into more easier problems.

5:41 this is only allowing segments split with vertical lines. When you showed the original puzzle my first though was to split it with a horizontal line for x1 and x2 and it made the rest even easier.

Keep going with more random surprises! I am feeling lucky!

Neat puzzles! I got the connect-the-lettered-dots-in-the-circle before starting the video, from the thumbnail. Same solution you got, but mine was more trial-and-error; yours is elegant. For the 5 X's along the line (or, in the rectangle), I did it numerically. Label the line 0 to 60 (the LCM of 2, 3, 4, 5), then place the points at these locations: X₁=10 X₂=50 X₃=27 X₄=40 X₅=20 I started with the last rule (fifths); then worked back up the list, making tweaks when necessary. Fred

@ffggddss

4 жыл бұрын

@MajorPrep: Thanks for the 💕, and for the interesting stuff in the vid. That problem of placement of points on a line in that way, is one of those "who'd-a-thunk-it" results. 17? Maybe this'll get you promoted to Lt. Col. Prep! Fred

2:09 Why wouldn't you just connect D to D, then B to B... ...Then, just move A to A and C to C around those 2 lines?

@thomasfischer4056

4 жыл бұрын

exactly what i thought :D

@kyyay2283

3 жыл бұрын

@@31.vaishanavikurup20 so? this does not affect the answer the commenter has given

@Serpinstrix

3 жыл бұрын

@@kyyay2283 Did they remove their comment about being unable to leave the circle? If that's what was removed, then yeah it doesn't affect what I have said. By me connecting point B to B and D to D in a straight line, there is a small gap between said straight lines which means A can be joined to A and C can be joined to C by long curved lines.

@kyyay2283

3 жыл бұрын

@@Serpinstrix yeah, it was that

Hearing "17" and immediately pressing like.

@danielyuan9862

Жыл бұрын

It appears twice!

With the Euler I was already thinking of writing a java program to find the right values but then you mentioned the 5 * 10^11. Maybe I'll give it a try some day

@netpilot5

4 жыл бұрын

Yeah, and the odd edge must be larger than 2.5 x 10^13. Maybe not, for me.

@jinbe-san

3 жыл бұрын

Time for quantum computing!

a neat tabletop game called "the quiet year" uses the card deck fun fact as a core mechanic

uploaded 3 years ago and it finds me on a random evening in April 2023 thanks buddy

Need a series of this

I solved the circle puzzle before the solution was shown a different way. Connect D and A the same way, but I connected B as a straight line and had C curve around next to A (not touching)

@sleekyissleepy

Жыл бұрын

I solved it with a different solution too

Is attempts at 18 points in the rectangle using the second dimension given? For example, all the numbers line up for even splits horizontally and odd splits vertically?

The circle one wasn't even a puzzle. It never said you can't draw curved lines. So just draw them around the points. It's literally just connecting dots. Moving the dots to better visualize the puzzle is so much extra work.

moving the points in the circle isn’t just a homeomorphism, it’s an isomorphism, which is the actual property that allows the points to still connect

Random coincidences that will be assorted together to look like a pattern Sounds like one of those illuminati videos

Your videos are great! Please, make more videos about problems that you solve using mathematical logic or clever transformations or clever handling e.t.c.

I love when maths problems that intuitively seems like they should work for larger and larger values indefinitely, just randomly stop at an seemingly random number such as 17. Even funnier when that number is a really large random number, so if you brute force test it manually you'll never find a counter example, but a computer can tell you it just stops working after some millions or something.

The animations are great and you explain it so beautifully!

6:08 I actually DO have a mathematics degree and I only understand the words "algebraic," "rational," "linear," and "combination," in terms of math. All of those I learned by the time I graduated high school, which suggests maybe you'd need a master's degree or have taken very specific college classes to have a better understanding of what the hell is going on with the Hodge Conjecture.

Sweet video. I think the least compelling part was the introduction, but I'm glad I watched past that. (For reference, the intro was where you went off on a weird numerology thing with playing cards.)

@loveandthunder2928

Жыл бұрын

Yeah he thought it's gonna capture attention but it actually repel But I just skipped that, now everything is fine

@roylavecchia1436

Жыл бұрын

Actually, it was quite interesting. Also, it wasn't numerology, but is, in fact, a historical part of how the deck of cards was first thought of and created.

@gblargg

Жыл бұрын

@@roylavecchia1436 Agreed, the card thing was some interesting history behind I assume the number of cards in a deck, the number of faces, etc.

Circle one was easy: connect B-B, C-C, D-D inside the circle; use the circle's own circumference to connect A-A. All conditions are met! Card one was cool. There are loads of similar & more in depth explanations too!

Thank you for making this video. I really enjoyed these.

Great video ,but at 1:39 you said "Lines" while they should be rather "pathes"!, in Mathematics a line is introduced to represent straight objects (i.e., having no curvature) with negligible width and depth. So the usage of Lines here instead of pathes is confusing if not obviously wrong!

@Shadow_1923

4 жыл бұрын

No wonder I was confused (totally not because I'm dumb)

@isaacwebb7918

3 жыл бұрын

To a topologist, they might as well be straight lines, since the solution will be homeomorphic to one where the dtos are connected by straight line segments. Maybe they are straight lines through a distorted plane.

@MichaelP833

3 жыл бұрын

@@isaacwebb7918 so, the earth is flat, but the universe is curved. which makes the line straight even though it looks bent

@thej3799

Жыл бұрын

It is straight if you are on a sphere. Three transform is rotating a sphere so 2d projection realigned the points

This whole list of problems is really fascinating. Thank you !!! But the 18 point problem ,'irregularity of distribution' is even more intriguing because it shows how very mysterious the number '1' can be. Such unexpected problems from unity itself. Consider: The repunit primes and how rare they are in any base. In base 10 we have only been able to find five of them so far. In base 2 only 40 some have been discovered.( Merscenes). Consider the Egyptian fractions All this from unity. Truely astounding.

Thank you KZread recommendations! This was a random surprise to see in there

Looking forward to more of these videos!

You're cool dude, please never stop making videos (Unless you want to lol)

@zachstar

4 жыл бұрын

Haha thanks man! Not stopping anytime soon

Any even number is the sum of 2 primes, clearly simplest unsolved.

@anim8dideas849

4 жыл бұрын

is that really true

@abdi165

4 жыл бұрын

I'm not sure if I'm correct but 1 x 2 is 2 So 2 is the sum of 1 prime and 1 non-prime rather than 2 primes.

@Roystone730

4 жыл бұрын

@@abdi165 thats a product. sum is when you add

@Alonehomelesshostel

4 жыл бұрын

@Parker Shaw A sum of two odds give an even number Despite most of the prime numbers are odd. 2 is the only even number that is prime. Hence the sum of any 2 primes doesn't really work as 2+3 or 2 + any prime number other than 2 is odd.

@samuelpak669

4 жыл бұрын

Just for better explanation of the problem, any even number CAN be expressed with the sum of 2 primes. There is no condition that says an even has to be expressed with a specific prime. This problem is called Goldbach Conjecture and you can find sources about it

Heyo Zach, appreciate you making these videos, they've become some of my favorite I've encountered on this site. Quick question --> Is the Euler brick problem the kind that will (feasibly) become tractable via quantum computing? I ask because, in the same vein as the 3-body problem, it seems (to my organic chemist brain) that the Euler's brick is one of those puzzles that massively leaps in its complexity by the addition of a single dimension?

at 5:36 for the rectangular region, it reminds me of the Borwein Integral thing how after a certain number it breaks because it starts overlapping

Do you have any advice for people like me who started studying engineering a little late in life? Once I finished high school, I had to start working, could only start biomedical engineering at 27 years. This year I get my major.

"Recently confirmed" that you need at least 17 clues for a proper Sudoku? Numberphile had a video on that topic 7 years ago :-)

@drdca8263

4 жыл бұрын

7 years ago is recent in some contexts

@MoD366

4 жыл бұрын

@@drdca8263 True, it really depends on the reference point. According to Wikipedia the first ever Sudoku was printed in 1979 (however it was first popularized in 1984), so this style of puzzle is now 40 to 41 years old. Considering this, I would not claim 7 years (or more, not sure when this fact was truly found) to be "recent" xD

@drdca8263

4 жыл бұрын

MoD366 Oh! I didn’t realize that sudoku was that young. Good point!

@MoD366

4 жыл бұрын

@@drdca8263 I also expected it to be older. Good thing I checked first xD

The card facts as it relates to years is also why you can have a calendar of thirteen months where every month is exactly four weeks, plus a bonus day somewhere (which we might as well call new year's day) and then we can put a leap day between any other month.

I love this channel! My very first passion was physics and astronomy but couldn't follow it at uni. Got a language and politics degree instead 😑 Now I've forgotten all I learned in the past, but still enjoying this so much🥰

2:42 Mathematically this solution is defying its own rules. As these go outside of the definition of a line used in geometry. Now that’s me being very picky, mind you but it’s worth saying

the puzzle of cennecting ‘a to a, b to b’ and so on was easy. i didn’t even have to move them

@lulukenn_9913

4 жыл бұрын

good for u 👏

@leandrobelizan8238

4 жыл бұрын

Ok boomer

@chloe102

4 жыл бұрын

want a medal?

@danielyuan9862

Жыл бұрын

It's actually very easy if you just connect "a to a" last

This is probably one of the best videos I have ever watched. Extremely interesting

Nice video Zach Star!

zach: there are 4 suits for the 4 seasons of the year and 52 cards for the 52 weeks of the year and you let ace have the value of one, then you follow from there up to 13 add up all the values and you get 364, add one joker and you get 365, days in a year add the second joker and you get 366, days of a leap year me at my 19's: *surprised pikachu* all these years and I couldnt see it.

Everyone: *Talk about everything after **0:15* Me: *Spends 20 minutes fiddling with 0.25x speed to figure out that card sorcery.* There is no frame with the card flying so I conclude that we must find this guy and burn his house 😂 JUST KIDDING.

@peteneville698

4 жыл бұрын

I did the same - I'm guessing a frame was removed.

Do more like this. As a mathematician I get really excited in watching those videos !

For the Euler brick, i feel like itd be easy to write a program to find one. How long the computer would take to find it, if it ever does, is an entirely different matter.

@goldenpig6453

10 ай бұрын

it'd actually be really difficult, if not outright impossible to even write a functional program, given the limitations of how computers store numbers. From what I understand, the only theoretically valid numbers are so large that in order to properly calculate it, you would need a very large bit integer, as memory addresses (where numbers are stored in a computer) can only go so high before it has to resort to "compacting" the numbers, which is inviable if you need exact numbers rather than rounded or numbers stored as equations, both unable to give exact, solid numbers a Euler cube needs. To explain, most computers are able to store, say, 1^1000 + 1 just fine, but having that same number in numerical form is nearly impossible, as even a 512-bit processor would overflow (the maximum storage for memory addresses are 2^x - 1, where x is the number of bits the processor uses). Since processors become exponentially harder to work with the higher bit they are, and any use for such high numbers exponentially decrease, its nearly unheard of for software to go past 128-bit. (for reference, the original NES released in 1986 used 8-bit software, and modern windows devices use 64-bit). in addition, all of this is assuming that the memory address storage is the limiting factor, which in reality is extremely unlikely to be the case past 64-bit for reasons that I can't explain without delving into a bunch of hardware and software-related content that even I'm not fully versed on.

I’m writing this comment to prove I was here in 2020 when this gets recommended again in 10 years

@simonlutgens

4 жыл бұрын

If youtube still exists then

@kickitupanotch3230

4 жыл бұрын

And that’s exactly why I’m replying

I literally created a new saved playlist called interesting for this video

The one with keeping the points in different 5ths - I divided the shape in different ways each time - for example it can be cut horizontally into thirds and fifths and vertically into halves and quarters. Not the right solution but it worked.

About the rectangular region puzzle, I found the only part that gets harder is making the regions. I color-coated them and had to resort to using chartreuse to write the numbers. I could probably make it easier by making the dividing lines different lengths or do it the foolproof way of labeling every single line

1:58 i thought i was a smart ass saying a and a are already lined up, it could follow the edge of the circle and wouldn't touch a line, thought that was going to be the answer but nope lmao

@pezus553

2 жыл бұрын

I did the same lmfao

2:40 yooooooo I got a very similar result when I sketched it

On the one with the circle, you can draw a line going from A to A outside the circle. The first rule states the line can't "leave" the circle. With both As on the edge of the circle the line outside is never inside the circle to leave it. Also there is no rule stating you have to draw all lines inside the circle to connect them.

not to get too far into semantics, but the circle topology problem as shown in the thumbnail uses "curves" not "lines", so like, if you assume that "lines" means straight lines, then it's technically impossible

im about to sleep and this video is blowing my mind like wth

Wait... I stayed for the card trick reveal~!

1:32 was quite easy Flow free taught me well

I don't know how I haven't find this channel before. I'm a big fan of other similar channels like Tom Scott and Joe Scott, but I've never seen any of the videos here before. Subscribed.

@zachstar

4 жыл бұрын

Glad you found it!

2:50 those aren't lines, welcome to geometry.

@nicvermin1550

4 жыл бұрын

Brady Walker Do you feel smart now?

@boredommm23

4 жыл бұрын

those are lines, welcome to topology.

@Deleted_Eevee

Жыл бұрын

@@boredommm23 if by topology you mean IQ you are correct

@TheWorldsLargestOven

10 ай бұрын

Curved lines:

As my calc teacher reminded every day, all lines are straight. Therefore this problem is mathematically unsolvable. With curves tho, easy peasy, this guy solved it!

@loturzelrestaurant

2 жыл бұрын

Hi. Know Sci Man Dan? The funny education-youtuber?

@thej3799

Жыл бұрын

You're looking at a projection of a wiggly surface maybe a sphere even, so that is why transform works. Sphere projection rotates

The Gregorian calendar which is the standard calendar that has 52 weeks in a year 365 days and 12 months was created in the 1500s and the first celebrated leap year was in 1752. To put that into perspective the playing card as we know it was invented in the 1300s or two hundred years before the Gregorian calendar and 400 years before leap year was acknowledged. So the card deck fact seems to be more of a coincidence rather than direct correlation

I really enjoyed this video. Great job 👍

Card thing: very cool. Circle thing: trivial, as long as you don't start by using point A, in fact it must be last. In fact my method was exactly the one suggested, in my case I thought that there was a continuous transformation that got those points from one configuration to the other, I just had to exclude the point in the closure because those border points tend to be a pain in the butt in math. In fact my final solution was different in shape, but probably not topologically, which is what gave me the idea to use the method suggested in the video. Unfortunately, the video used the same method and I went from 'I'm smart' to 'another thing I figured out that was already figured out by others exactly as I did'. :( The line thing for 5 seemed somewhat easy, but the max number we could go I'd have no clue, for I'd need to make the solving method explore less the configuration space. 17 is definitely lower than what I'd expect. The Euler Brick problem does sound like something impossible...

What's is the name of the problem with N points and N regions? The one with X1 and X2 in different halves and so on... Also Can u link to a paper or something that proves 17 is the maximum?

@yashkrishnatery9082

4 жыл бұрын

Bro you give us a solution for 18 and you're likely to get a field prize

@zachstar

4 жыл бұрын

First time I saw it was under the name 'the 18 point problem'. But wikipedia has it under a different name. Here are some links but haven't found the link to the proof just yet. Btw I found the actual problem for the first time in the book 'one hundred problems in elementary mathematics'. en.wikipedia.org/wiki/Irregularity_of_distributions mathworld.wolfram.com/18-PointProblem.html

@sankalpsundar1668

4 жыл бұрын

@@zachstar Thank you!

@sankalpsundar1668

4 жыл бұрын

@@zachstar I found it! www.google.com/url?sa=t&source=web&rct=j&url=core.ac.uk/download/pdf/82502278.pdf&ved=2ahUKEwj__JallunmAhXIxzgGHamiAEoQFjAAegQIBBAB&usg=AOvVaw34tS7I_5L6HXE5Hb5XmJUm

The fact that most puzzles are puzzles with unique solutions can sometimes give you a clue about the solution. In Sudoku, I think it manifests something like: "If I put a '3' here, then these four squares must be 1, 2, 2, and 1, or, 2, 1, 1, and 2 - but, that means there are two solutions. So if there's certainly a unique solution, I cannot put a '3' here.". I think there's even a strategy which relies on the 'minimal' aspect, like, "If there's a '2' here, then it turns out I didn't need for that '1' to be filled in at the the start of the puzzle. So, if I assume this is a minimal puzzle, without any needless extra squares filled in at the start, then there's no '2' here.". The kind of configuration where this is a useful tool is really rare, as I understand it, but I believe I saw an example once, though I can't find it again.

humans cannot group more than 3 objects (to count 4 objects you group into 2 and 2 or 3 and 1, to count seven objects you do 3 +2+2, to count 12 objects you might do 3+3+3+3 but you'll never recognize a number bigger than 3 without grouping it)