The creative desision to copy a real life object in editing so you can make it seem edited, only to interact with it physically, blew my mind it was so clever.

@artificercreator

3 ай бұрын

yup it was cool

@ShadowWizard123

3 ай бұрын

Agreed

@theunknown4834

3 ай бұрын

Reminds me of "the top 3 hardest things to say" by PixelzwithaZ

@pizzaguy552

3 ай бұрын

I finally know how it felt to be in an early theater and think I was going to be hit by a train

@brettboylen3231

3 ай бұрын

Yes.

Why are all these numbers the same? ...cos

@statesburgproductions

3 ай бұрын

This pun is a sin.

@IvorPuddifant

3 ай бұрын

@@statesburgproductionsThat deserves a tanning.

@onebronx

3 ай бұрын

Wait a sec...

@gallium-gonzollium

3 ай бұрын

That pun needs a cot to rest on.

@christophertaljaard7504

3 ай бұрын

Trigger warning

Another example of this number: the percentage of the speed of light that you need to travel at to have your time dilated by 2 (0.866c)

@nanamacapagal8342

3 ай бұрын

So if I set up a light clock, the distance between the mirrors is 1 light second, and I travel so that the distance light travels is double of that... then I have a right triangle with a leg of 1 and a hypotenuse of 2. Spot the 30-60-90 triangle again

@KingJAB_

3 ай бұрын

Oh yeah you’re right. I hadn’t thought about it that way before, I just was goofing around with an online calculator lol

@lordchickenhawk

3 ай бұрын

@@nanamacapagal8342 wouldn't that be "other leg 2, hypotenuse root 3"?

@nanamacapagal8342

3 ай бұрын

@@lordchickenhawk root 3 is the other leg...

@lordchickenhawk

3 ай бұрын

@@nanamacapagal8342 Ah yes, I'm trying to think all arse about

Reminds me of the video where Pi kept showing up in mysterious places and it was just because there was a circle hiding in there somewhere.

@gallium-gonzollium

3 ай бұрын

Reminds me of that 3blue1brown quote: "If you see pi show up, there will always be a path somewhere in the massive interconnected web of mathematics leading you back to circles and geometry."

@LetsGetIntoItMedia

3 ай бұрын

Which video are you talking about specifically? I'd love to see it. I love 3b1b's videos on unexpected pi (particularly the one that starts with two squares physically colliding with each other and the wall)

@gallium-gonzollium

3 ай бұрын

@@LetsGetIntoItMedia The Basel problem video (with pi^2/6).

@PrajwalDSouzaCrazyTalks

3 ай бұрын

There is another interesting case where pi of the parabola 2.29.. shows up in average distance between two points in a unit square. :)

@yourpalpalmetto979

3 ай бұрын

​@@LetsGetIntoItMediaI think it was the one about pi^2/6

Brady is probably a bit miffed this wasn't a Numberphile video. "0.8660254..." would've made a great title.

@aiocafea

3 ай бұрын

@@pekirt not in the modern numberphile but at the beginning and i think for a while, the channel was genuinely dedicated to individual numbers for each video, hence the name

@jlivewell

3 ай бұрын

Or Brady could make it next week….😂

@krissp8712

3 ай бұрын

​​@@pekirt Numberphile was pretty literal at first, I think sqrt(2) and the golden ratio are there originally. It was a counterpart to the other "collector" channels he did like sixty _symbols_ or the periodic table of _elements_ - so aiocafea is right, viewers just have to go back a bit. (fixed italics)

@krissp8712

3 ай бұрын

That being said I can see how Matt shows off the examples in a fun and engaging, and it's nice he has his own channel these days rather than having to work with meeting up with Brady every time he has something to publish!

@Anvilshock

3 ай бұрын

Glad it ISN'T a Haran video because that saves everyone from his insufferable, nauseatingly hyperactive, artsy-fartsy, painfully forced hand-held, pseudo-action camera style he and that Riley guy just can't stop using.

Fascinating. I will never look at bolts and icosahedrons the same way. Wait, I mean, from now on, I WILL look at them exactly the same way.

@DerMarkus1982

3 ай бұрын

You forgot to raise an eyebrow.

@bramvanduijn8086

3 ай бұрын

It makes more sense to look at bolts and triangles the same way, but you do you.

This number looked strangely familiar and I realized where I know if from.. In graphic design, if you want to make a shape look isometric (skewing a square to make a side of a little isometric building icon, for example), I learned the formula shortcut in the Adobe Illustrator transform panel: Leave the width as is and change the height to 86.602%, then shear -30 degrees and rotate 30 degrees. I never understood where that really specific number came from, but it makes sense now after watching Matt explain the angle relationships. He is right, math is everywhere and it's all connected. So cool!

"cos is cah" I like the way a former maths teacher still uses the soh cah toa for remembering. 😀

@ronalddonahue8325

3 ай бұрын

"some old hippie, caught another hippie, well you know the rest"

@Irondragon1945

3 ай бұрын

in German we have GAGA HHAG HHAG stands for "Hühnerhof AG" = chicken farm work group

@lazykbys

3 ай бұрын

The mnemonic I was taught uses the lower case cursive letters c, s, and t. Superimpose it on a right triangle, and use the edge you start with as the denominator and the next edge as the numerator. This had the added bonus of me tilting my head during exams, which was always good for a laugh.

@STEAMerBear

3 ай бұрын

I’m a current math teacher (teaching native American kids)! It sure makes telling that story a bit awkward, but they all know SOH-CAH-TOA!

@kindlin

3 ай бұрын

@@lazykbys I tried to imagine what you're talking about from your post, but I'm totally lost. SohCahToa was my mainstay. EDIT: It wasn't immediately obvious how to google that, but it came up from nailthemath at wordpress, and it does look about right. Sohcahtoa just had a nice ring to it tho, and it's never left my brain even for a second.

@9:04 "We'll get that in post". Yes, you really nailed it.

@TWX1138

3 ай бұрын

Narrator: he did not, in fact, get that in post.

@emilyesnyman

3 ай бұрын

😂😂😂😂😂😂

Saying that the cubic root of i would be √3/2, when in fact you mean that the _real part_ of one of the cubic roots of i doesn't feel like the kind of exact language I am used to from mathematics...

@WindsorMason

3 ай бұрын

The icosahedron and √75 were also not exactly the same value as the others either, they're just related to them in a certain way. And yeah, it's not an exactly or precisely worded intro, instead it's mostly setup to let you imagine whatever relationships that might come to mind to try and think about, before coming in to tie things together with the triangle.

@kullen2042

3 ай бұрын

@@WindsorMason I can get behind the missing factor of 10. As he keeps on saying, they have the same digits and everything. But a complex number is not complete without the imaginary part. There ist more missing to the picture than just a factor 10 that is glossed over for the story and simpliciity.

@scottdebrestian9875

3 ай бұрын

@@kullen2042 He specifically mentions that in the video.

@jukmifggugghposer

3 ай бұрын

​@@scottdebrestian9875well yes, but not in the introduction when he's saying these are all basically the same number.

@rathinbhargava4134

3 ай бұрын

I agree, it threw me off a bit.

When Matt plucked that number placard out of the air in the intro I audibly went "what the f***".

I always enjoy the clever editing you throw in

the 30-60-90 triangle is one of those math things that shows up so much youd think math itself is picking favorites

1:13 ...impressive. Somebody's been watching VFX tutorials haha

@purpleotteruk

3 ай бұрын

For Matt's next trick, he'll find and grab the temperature icons that float above the UK when forecasters do the weather

@StarkRG

3 ай бұрын

@@purpleotteruk I remember seeing an Antiques Roadshow episode where someone brought in some weather magnets that were used by British TV forecasters until they were replaced with CGI and chromakey in the 80s (or 90s, I forget)

@VioletEdgar

3 ай бұрын

That must have taken so long to get right

@nanamacapagal8342

3 ай бұрын

He's come a long way since "GLORIA IN X-SQUARIS"

Three-phase power at 120V per phase is ~208V. 120√3.

@gordonrichardson2972

3 ай бұрын

Also 230V single phase and ~400V 3-phase (outside of North America).

@jaggedben

3 ай бұрын

Yeah, not getting that in the video was a missed opportunity IMO.

@briandeschene8424

29 күн бұрын

Learning the mathematics involved in three phase electricity was, for me, when many mathematical concepts went from being strictly memorized mathematical facts/relationships to seeing connections and truly understanding them. And that understanding crosses so many boundaries as Matt displays in this video.

5:17 I love how you added your reaction to doing-things-the-hard-way-Matt’s dismay at learning we didn’t have to do things the hard way

I am making a game with tesselations of triangles, squares, and hexagons. Root 3 was turning up so often that i made a contant for it so that it wouldnt recalculate every time.

@zarzee8925

3 ай бұрын

What did you name your constant?

@Zengief77

3 ай бұрын

@@zarzee8925 Now I wish I named it something cool to make this story better, but it is just called root3. Naming things is one the two hardest problems in programming.

@STEAMerBear

3 ай бұрын

GOOD JOB! I tell my students, “If something takes more than 5 seconds to write AND you need to write it more than twice, think about a substitution.”

@STEAMerBear

3 ай бұрын

@@zarzee8925Maybe it was 1.73205 or SQRT3.

@Zengief77

3 ай бұрын

@@zarzee8925 I wish I had named it something different to make the story better, but it is just called "root3"

I'm always impressed by the creative editing choices in these videos. like in that other video where past Matt, present matt and voiceover matt where having a conversation with each other. here the label graphic became a real entity, and that "aw" from Matt on the whiteboard. it's always fun to see

The same triangle is why you can't tune perfect intervals across all twelve notes. It's called the Pythagorean pause. Since intervals represent a ratio between two frequencies, and there is an irrational number there, there is always a little fudge factor somewhere.

@TheEternalVortex42

3 ай бұрын

I mean you could if you don’t care about keeping rational values for the intervals

@drewharrison6433

3 ай бұрын

@@TheEternalVortex42 Then you don't have perfect intervals. This is actually how we tune modern instruments. The difference is split between all the notes and there are no perfect intervals.

2:53 The fact that Matt chooses to leave the 10 and the root (3) / 2 unsimplified is pretty comical. I bet some viewers were _begging_ for Matt to simplify it down into 5 root (3).

@LetsGetIntoItMedia

3 ай бұрын

Haha I certainly was, until I realized he was trying to emphasize that the digits are indeed root(3)/2, just shifted over one place by the 10

@peteMickeal33

3 ай бұрын

Was about to write the same comment. Man that made me mad hahaha... Happy to see there are still sane fellas down here who dont want to just see the world sucumb to chaos

@jayayerson8819

3 ай бұрын

Yeah, until he got to the complex plane solutions for (3)root(i) had me wondering if he needed a doctor. Apparently it's just a wobbly video about cos(pi/6).

@Yxcell

3 ай бұрын

But *NOT* simplifying it was the whole point... The entire video is about ``` sqrt(3) /2 ``` appearing in various places.

Surely, the duration of the video would be eastereggily chosen as 0.8860254... too. And yes! It is 0.8860254 units of 12½ minutes! With a tiny Parker error.

Your editing is always so slick!

Each new upload make my day. Such a great work. Love you Matt.

man wtf he pulled that number from the overlay

This is also the extra height of a layer of diameter 1 circles stacked atop another. I recognised the number immediately, since I had that figure well memorised from some designwork I did a while back.

@mrosskne

3 ай бұрын

circles don't have height

@allwaysareup

3 ай бұрын

Rows in a hexagonal lattice​@@mrosskne

@bramvanduijn8086

3 ай бұрын

@@mrosskne In think he means stacked like cannonballs are stacked, but in 2 dimensions, so a triangle with a circle at each point, each circle touching both others. i.e. the triangle has a sidelength of twice the radius.

This is so random, love it!

I love your videos, thanks for the great content!

Well, when you picked the number "out of the screen" I kinda choked on the water I was drinking. Really cool effect; plus, as always, great video!

I saw 75 as 100 * 3/4 Instead, which also obviously make 10*cos(30deg) when you take the root.

It's so weird. As I was on my way to work today, I was just mentally figuring out the volume of a sphere that bounded a unit cube. A couple hours later, this video shows up in my feed.

@adamnielson42

3 ай бұрын

I do the same kinda things of course, but reading this makes me realize why us nerds get made fun of. Edit: for example while assisting in a classroom, I'd spend my time calculating my step distance on the tiles (standard is 1 foot each) and trying to make it the geometric root between feet and meters to make it easier to measure my pace in either system.

@LetsGetIntoItMedia

3 ай бұрын

The simulation engineer assigned to Matt's videos had to fill in for the simulation engineer assigned to your thoughts, and just used copy+paste so they could just go home already 😅

@SafetyBoater

3 ай бұрын

I was driving to work and derived the difference in arrival time between two speeds in minutes. Distance X Difference in speeds / Product of speeds X 60 Works for miles/mph and kilometers/kph and is really easy if one of the speeds is 60.

@himanbam

3 ай бұрын

Man I was doing the same thing but I was wondering what the standard distance betweent the threads of ISO bolts was

@STEAMerBear

3 ай бұрын

I’m a math teacher and that kind of weirdness happens to me with startling regularity (at least weekly). My guess is that my subconscious is primed to find familiar things. We truly are pattern-finding geniuses!

8:25 Really glad to hear this image of a cube with its diagonal dotted out is gonna make future appearances. Such an underrated concept and I'd love to see it used more.

Did you know that: pi = e = 3 Also another shocking coincidence: pi² = g = 10

@CorruptedMatt

3 ай бұрын

Found the engineer

@antonf.9278

3 ай бұрын

As a programmer I don't care about pi but e is definitely 2

@Michael75579

3 ай бұрын

And (e**pi - pi) is 20

@spyinnzus

3 ай бұрын

And 2^10 = 10^3

@STEAMerBear

3 ай бұрын

Do you folks know what = means?

Bravo!! 👏🏼👏🏼😂 Absolutely hilarious video!

really great video production

What a masterpiece of a video! Thanks Matt!!!

Love how Matt interacts with the graphics in this video!

Unintentionally hilarious youtube ads "That is precisely what "doing things the hard way" Matt is doing, right now" Ad break cuts to someone opening a burger box and biting into a burger. Took me a moment to realise that it wasn't just Matt doing an editing joke.

Thanks for putting this out today Matt, I have a Maths mock tomorrow and this reminded me that I have to know about roots of complex numbers!

2:44 the area of any triangle is 1/2 * base * height, not just a right-angled triangle, so the halving of the base to then double it again was a little excessive 😂

Yay for the Perth Wildcats t-shirt!

@Ausecko1

3 ай бұрын

I had to scroll far too far to check if somebody else had noticed it! Not only the wildcats, but the proper 90s logo!

@worker-wf2em

3 ай бұрын

Reminiscing on the James Crawley Ricky Grace era

Mathematical coincidence? 👀👀 (I made a video about those last week, what a coincidence!)

@kikivoorburg

3 ай бұрын

Given there are good (and known) reasons for these ones, this wouldn’t fall under your definition of mathematical coincidence (at least if I remember it correctly). Maybe we can call them quasi-coincidences or something like that? Initially surprising but actually very logical

excellent video. Thank you!

Great video! Watched the trick in 4k frame by frame. Very impressive.

That editing was SMOOTH

Thank you for this video. Far Out!

Haven't checked out an episode of this in a while. This was cool. I'll be coming back more 🎉

Very slick with the number out of thin air.

i'm always impressed by the lengths of matt's takes

my jaw visibly dropped when matt said “all six are the same number”! Great video!!

This better get a bunch of views. It’s soooo good

9:05 "little did Matt know, they did not, in fact, get it in post"

I appreciate how much iteration that intro must have gone through to flow that nicely

I like your editing tricks, mister!

This is one of your best intros.

I love this man!

Thanks for breaking my brain with that 3D cube

factorial(GREAT transition) 1:15 I didn't find pleasing the fact that you didn't refer, in the beginning, that it was the *real part* of the cube root of i Matt. factorial(But it's a great video)

@gnaskar

3 ай бұрын

I don't think it's a transition. I think it was there all along, just masked out by a black square in the overlay.

@moonshine7753

3 ай бұрын

Didn't think I'd ever see a reverse factorial joke, but this is funny

@lppunto

3 ай бұрын

Strongly agree about the real part - there's a difference between simplifying to aid understanding, and stating plainly wrong things

@Jimorian

3 ай бұрын

He DID say it was the real part of the solution. 6:30

@lppunto

3 ай бұрын

@@Jimorian eventually, yes, but he at several points explicitly said that the decimal value WAS the cubed root of i, which is just nonsense

Nicely written and edited! Numbers like this are all over the place. While they don't have much recognition, videos like this bring them into more light.

@vigilantcosmicpenguin8721

3 ай бұрын

With the internet, every number can have its fifteen minutes of fame.

This was fun. Good on ya

I love the Stand up maths music... always brings me a smile :)

That quality planned editing is brilliant.

In my final practical exam becoming a maintanance technician (yes, in some countries you get proper training + exams), in one of the tasks we had to remake a cover for a bearing and of course with three equidistant holes ... it's been 15 years, but i'll never forget this number.

@lordchickenhawk

3 ай бұрын

I'm a fitter and turner in South Australia. I also recognised 0.866025... (the cosine of 30 degrees) immediately for a similar reason. I once had to figure out the area of hexagons because I was cutting and machining various hex bar stock into stackable hexagonal counterweights of various different values. While I was working out how long to make each section to achieve each target weight I discovered that the "across the flats" measurement (of hex bar) squared and then multiplied by the cosine of 30 is equal to the area of the hexagon face. From there it was easy to figure out each length to cut given an SG of 7.8 It worked to within the accuracy of the scales I was given to test each weight. That saved screwing about with putting hex barstock in and out of the lathe trying to face off just the right amount of chips. Of course, I'd come across cos 30 & sin 60 plenty of times before that but THAT was the job that burned it in permanently.

You inspired me to find sequence for the OEIS. I have two, though one is technically a subsequence

Thank you! 😃

That cubed root of i seems pretty cheap, to say "oh it's 0.866... but that's just the real part"

@joeyenniss9099

3 ай бұрын

the real and imaginary parts are in fact separate which is why they have to be written out as a+bi

@marshallc6215

3 ай бұрын

@@joeyenniss9099 of course they are, which is exactly why saying 0.866... *is* the value is disingenuous. It's not. It's only part of it.

@joeyenniss9099

3 ай бұрын

@@marshallc6215 bruh by that same logic all the numbers on the list are cheap because they are a+0i dumbass

@samueldeandrade8535

3 ай бұрын

Wow, someone is very annoying, huh?

@alexandermcclure6185

2 ай бұрын

@@marshallc6215 alright FINE, it's Re(nthroot{i}{3}). Happy now?

Stand up maths theme song - still one of my favourites! :D

nice edit!!

Pretty sure I saw you in Waterloo tap a week or so ago. Did not want to bother you but could swear it was you. Made my day anyway

Wow that editing at the end was something else 😂😂

I hope the future video featuring the cube graphic that is for a future video references the cube graphic as being made for a past video, but you're using it again 😂

Finally, the Parker Constant!

@STEAMerBear

3 ай бұрын

Good idea, but it won’t work. Letting MP=0.866025403784 works great here in the US and in most places; however, it throws errors in Commonwealth countries. (Apparently there MP implies something incapable of remaining reliably constant.) SORRY MATT!

root 3 over 2 ... Good grief, this ratio is everywhere. it is almost as universal as the golden ratio.

@lordchickenhawk

3 ай бұрын

which is 1 plus root 5 on 2...

thats all very well, but what I found amazing is that you picked that graphic up out of thin air, seamlessly!!

That visual effect made me gasp, rewind, play again, then show it to my wife who also gasped. Well done!

Great icosahedron Geogebra skills Matt. :)

@standupmaths

3 ай бұрын

I learn from the best.

That intro was so tight. A masterpiece

Strong SEO with that title!

I love your videos.

The graphic-pluck trick was so seamless I didn't even question it. It was only when you tried to put it back I was like, "Wait a minute..."

Holy intro batman, you pulled a real fast one on us there from all them being the same to the materialization of the number, I am in shock

You had me, I was wondering for ages how the cube root of i could have a real solution!

Sqrt(3) on 2 sounds awkward. It's sqrt(3) over 2. Or is this an Aussie (not the dog) thing?

@LeoStaley

3 ай бұрын

Yes.

@Ausecko1

3 ай бұрын

As an Aussie highschool maths teacher, we definitely say "on" unless it's complicated, then we say "all over", like "root 3 on 2" and "three times a^2 plus b^2 all over 2"

Oh this hits so close to home, or rather, work. I use this number a lot in my field of work. The standard for reducers in ventilation systems is 60 degrees so I always use the square root of 3 to determine the reducer length when I'm drawing them.

I appreciate how long the number in the title goes for

The 30-60-90 is my favorite right triangle too. I once learned a way to use it to construct two-point perspective in drawing.

That intro was next level!

for the bit on the root of 75, I found it easier to go the other way around (fewer steps, too!) Start with (√3)/2 put the two inside: √3/2/2 = √3/4 = √.75

you should edit together a youtube short with that goated intro, then at the end say "well actually i made a whole video discussing this topic"

Low key genius editing with that number grab.

This was a classic stand up bit 👏👏👏

the reveal in the beginning blew my mind

I like your style. :)

That was a fun one!

Editor Alex finally got to show 1% of their powers 🔥

The old 1-2-v3 triangle. Flashback to high school Trig. class.

I loved the bit where you pulled the paper out of thin air.

I remember when I found this years ago. Sqrt 3 multiplied by the radius is the width of a circle halfway from the center to the edge.

I was not prepared for that plot twist in the intro

This is exactly what's been keeping me awake at night for decades. Finally I can sleep easy!!!

1:05 this reveal made me spit out my drink