Wow the guy from the comedy sketches knows quite a lot about maths

@Qermaq

Жыл бұрын

I was thinking the guy from the math videos sure is good at comedy! :D

@neithvoid

Жыл бұрын

jack of (clever and complicated equation to prove 2 is 2 and how it is with the explanation from that one massive book)

@resipsaloquitur13

11 ай бұрын

Which math?

@Qermaq

11 ай бұрын

@@resipsaloquitur13 All 'em. All the maths.

@Colonel_Jurten

10 ай бұрын

​@@neithvoidI think it's called mathmatica. I could be very wrong

0:02 Zach: "If you go outside-" Me: **clicks off**

Zach deserves a prize for how smoothly he was able to throw a burn into the first 20 seconds.

Zach dropped😤

@neversayxever

Жыл бұрын

😊

@andrerenault

Жыл бұрын

It’s becoming harder and harder to take these videos seriously when I’m used to hearing the same voice in NSFW comedy skits

@KumaBones

Жыл бұрын

​@@andrerenault lol right?

@zontetaji506

8 ай бұрын

But is he actually correct please prove me wrong kzread.info/dash/bejne/aadpxNKeeLHdedo.htmlsi=tk1mQQETslxVocF4

The more creative and lesser-known ways to apply maths and sciences are why I enjoy the two so much. There's never really an end to how we can utilize concepts from either echelon, and that only goes higher the more we learn more about our surroundings and beyond. Cheers.

That was really cool how the double cone shape appeared naturally in this problem! I'll definitely remember this. My go-to had been the trajectory of particles passing by the sun (or really any situation with an inverse square law): if your speed is slow enough then you'll fall into an elliptical orbit, but otherwise you'll trace out a hyperbola. But it's not easy to actually connect that to conic sections, whereas here that connection is so elegant!

Imagine how mind blown people were when the discoverers of these mathematics shared them with people of their time. I am equally mind blown. This is by far the best explanation of the sun's position in the sky over the year I have ever seen. My highest praises to you Zach

I really like the flashlight demo. That helped solidify things!

That flashlight demonstration absolutely FLOORED me. 😮🔦 Where were you when I was in high school?! 😭

YAY! A full-length video! I refuse to watch #shorts.

that rare setting when the sun traces a parabola sounds like the kind of date and place considered sacred by the ancients

"Here we got the earth, chilling" made me immediately want to fire ze missiles

Really missed this type of videos. Brilliant!

Wow!!! Thanks for this illustration with the flash light.

6:49 There's a place in Hawaii where this happens and at noon, the city (or island, idk) looks like a video game on pictures because all the shadows are exactly below the objects that have a "below" and the rest don't have one at all.

@Polai010

Жыл бұрын

This happens because that place is located exactly at the sub-solar point. This does not happen every noon. Vsauce has a great video that covers this topic.

Omg, I started watching your videos in 2018 or 2019 and because of your second channel, I am physically unable to tell, if you want to explain something, or you're just telling a joke, thank you for your amazing content❤❤❤

Wow, hyperbolas just got a whole lot more fascinating! Thanks for sharing this hidden gem of knowledge!

wow, this was pretty cool to know. the visuals were really helpful

I love when you upload to this channel

Dude! Your videos hit on a different level! 🍻

The sass at the beginning is off the charts and I love it

Wow, that was fantastic. Thanks!

Always nice to see he’s still hilarious on the main, educational channel

I had to write a 5 pages paper for a project in my analytical mechanics class. The topic was the two-body problem under the Kepler potential (that is a potential that's prop. to the invers of the distance). One part of the project is to investigate what types of orbits that can be obtained given the initial conditions and the system (the two bodies) and it turned out to be conic sections. It's just so wonderful how we are surrounded by patterns.

@jakeelsner2963

4 ай бұрын

Very cool. We studied Kepler, Copernicus and Ptolemy but I never noticed the conic sections in their works. I’m assuming you used a computer program with Kepler’s data? Also, what is your major?

@TepsiMorphic

4 ай бұрын

@@jakeelsner2963 Because the problem was restricted to two bodies, no computers were required, the differential equations governing the problem were solvable by hand. I would however need a computer if three bodies were involved because then the system is chaotic. As for Keplers data, it was mentioned how he used it to conjecture the laws but the approach i used to prove them didn't rely on any data. It was just setting up and solving some differential equations. As for my major, I used to be a physics major but i switched last year to pure math.

Great video!

If a tree falls in a forest and nobody's is around to hear it, its trunk shape is a hyperbola.

Very cool! Bonus points for using Elastigirl as a prop.

I love these math videos, more pls zach

This video was great! I’m sending it to my mom so she can use it in her class next year.

I cant imagine how narrow-minded I'd be without educational videos like that one. If not for KZread I still wouldn't know where Math can be applied. Thanks for educating us!:)

Woah! I just now realized that "conic sections" is referring to sectioning (i.e., slicing through) cones. When I was in high school and my teacher said we were going to begin studying conic sections, I thought she was referring to the sections of the textbook dealing with conics. That was 25 years ago. I've since earned a EE degree and have been immersed in mathematics for most of my life at this point. Yet, I'm just now putting it together after seeing your video thumbnail. I feel both dumb and enlightened. Well done!

well done!👍

Thanks! I never thought about how the flashlight is a cone before!

I really wanted to see how conic sections change with eccentricity, but couldn't find anything that was satisfying and intuitive. Like at which point does a parabola becomes an ellipse? All of a sudden, found this video. Thank you so much for this! This is exactly what i wanted to see!

Can someone make a concept art of what kinda weapon a hyper-bola would be. Like, bolas are basically clackers on longer strings, so what would a hyper-bola be?

@nathansos8480

Жыл бұрын

4D bola.

I have been binge watching all your vedios since last few days. Really enjoyed your content ❤. Thanks for reawakening my interest in maths.

Finally new video🎉

Hi Zach, can you make a video about bode plots ? Thanks

@zachstar

Жыл бұрын

Oh that's a good idea

That flashlight thing was really cool...

Owlman is about to get a spike in his viewership. Well deserved.

@louisrobitaille5810

Жыл бұрын

The same owlman from DC?

zach u make such cool vids 🔥

You forgot to include the case where you are in the arctic/antarctic circle during winter, in which case the set of shadowed points over the course of a day is empty.

Finally a video!

Inside the arctic circle you can have an elliptical sundial... At least one actually exists from what i know

isn't the axis of rotation of rotation is tilted with respect to sun

@zachstar

Жыл бұрын

Yes it is. But still, no matter what that tilt is, the sun is going to appear to do circles perpendicular to that axis of rotation. The tilt is why there can be days in the arctic circle where the sun never sets, or why the sun is never directly above us unless you're in between the tropic of cancer and tropic of capricorn. You can see why in this image. en.wikipedia.org/wiki/Tropic_of_Cancer#/media/File:Axial_tilt_vs_tropical_and_polar_circles.svg

@amit2.o761

Жыл бұрын

@@zachstar that means the axis 9f rotation shouldn't necessary at north pile ,right

i like how he sounds semi-passive-agressive for the whole video

This video ended up teaching me more about earths rotation than the conic sections

Funny when he said if you've never seen a cone cut in half in real life "then you're wrong"

Zach is the type of guy who makes a video about conic sections.

Superb❤

Wow this was a very good video. Sun dials are definitely cool.

Well, it's a pretty flash light, but it's really an electric torch 🔦

At this point this is his second chanel

1:30 Very cool

7:00 Not just the equator - the equinoctial line is straight irrespective of latitude by virtue of the axis of rotation being tangent to the minor axis of the elipse that is our orbit, though the equatorial line is the only one that passes through the gnomon of a horizontal dial. I even made a timelapse of the line in March 2021, and I definitely live nowhere near the equator!

@TheOwlman

Жыл бұрын

12:35 Aha, I should have waited until I had time to finish the video😁 Nicely presented. Edit: 14:28 I _really_ should have waited! Your next foray into dials should be the analemmics, they will give endless scope for your evident graphical presentation skills and you can nicely illustrate the equation of time from our tilted elliptical orbit. All the best.

@lunaticluna9071

Жыл бұрын

maybe rephrase that in less science terms

wait this isnt a shitpost skit, its actually a really nice and helpful video

Sweet vid 😎

Babe wake up, Zach just dropped a new vid.

7:29 which explained away my confusion.

God in the first 20 seconds you already roast us

3:23 **gasp**

for some reason i feel like i know zach personally just from the way he talks

Me in southern alabama wondering why the sun is above me at noon sometimes 💀💀

Very interesting. Thanks. Check out a paper I wrote called “Swept Conics”. I think it was at the 2010 International Optical Design Conference. But maybe the 2006. Hammer a nail at one of the focal points of a conic and sweep it about that axis. Lots of fun stuff. I got a patent on some of this stuff for applications to optical systems, like converting a point source to a diffraction limited line or arc of light. I was surprised to see that Bang and Olufsen has a speaker (Beo 5) that uses this exact concept for an acoustic lens. They place a speaker at the focal point of a tilted ellipse and it spreads the sound out into a 180 degree arc. Conics are fun. Thanks for the tutorial here.

Now on a _flat_ earth, of course, the shadow of the stick's tip always describes a circle. (Sorry flerfs, you did this yourself.)

If conics are sections of a cone, are quadrics a hypersurfice of some four-dimentional solid??

What about the lesser known conic section of two intersecting lines? From the equation x^2=y^2, with two intersecting line solutions of y=x and y=-x.

Woooo!!! We got whiteboard Zach!

It is so hard to take you seriously after all those sketches 😂

I wonder if I could help improve the translation of this video into Norwegian. I see the auto-translate translate "plane" into "aircraft"(should be "en flate", not " et fly"), "wall" into "wool" (should be "veggen, not "ullen"), "which shape will it make" into "which "shape will it do" (should be "hvilken form vil den lage" not "hvilken form vil den gjøre", "cone" (kjegle) and "point" (punkt) goes untranslated. and are interpreted as names.

The relatibility between sun shadow and conic sections is unexpected. You made me a little less dumb.

1:31 I felt so smart and so stupid at the same time

Just learned it few weeks ago at my Analytic Geometry classes, thats cool as fuck, math is really cool sometimes, but its also hard

Do you have other examples

The reflector in the flashlight has the bulb in the Loci of a PARABLOIC Dish to have the light leave straight out. It is So a candle is a better demonstration tool.

To all highschoolers he is only explaining conics in algebra 2 and mentioning that you might touch the other stuff if you pursue mathematics as a career which is very unlikely also this stuff is not practical nor convenient just something to have fun exploring if you can understand it

@crowmaster9652

Жыл бұрын

@Paul O'Reilly no no you got the right idea its just connecting practicalness with this mathematics and the issue is this type of mathematics doesn't do much for an individual. Sure might make the brain smarter but whats the point if there is no funding for further research? Without funding technology starts to stagnate

"The surface of the earth is a flat plane" lol

He got me in the first second

Eccentricity!

5:13 "This is the idea for most people" My brother half the world lives in East/South Asia It's just the Western world (which to be fair has the most KZread viewers in general) that revolves on that axis

Hmm there ain’t no South Star for the Southern Hemisphere but you can work out south from the Southern Cross

Hey I've got that shirt from Flammy!

can u tell me the animation software,Pretty please :)

@zachstar

Жыл бұрын

If you are talking about for the 3D software I was using it's called Runiter.

You left out point. You can slice a conic and get a point, with as many cuts as give you a circle......

Technically, the relationship between the Earth and the Sun changes slightly through the day. So the shape will probably be a slightly warped hyperbola, starting out as one and finishing as another that's a tiny bit different.

5:05 bro excluded everyone in china and India, some how they don't count as "most people"

hey! your globe is spinning the wrong way! D= Great video btw :)

Flat earthers gonna love this video

Zach, are you doing grad school for something with applied mathematics?

@zachstar

Жыл бұрын

No but I want to at some point. Right now I just self study for fun.

Application of hyperbolas sounds off in this case, coz when was the last time you looked for the shadow path shape? it's barely applicable to the sundial mechanics and at most useful for some artists nowadays. Energy collectors definitely doesn't look for shadows but the sunny path and it's sphere sections.

But what happens to australia? Does the earth rotate around the sun there?

Interesting showcase of the azimuthal grid of vision. Here's some additional gravy on the movement of the sun and perspective: kzread.info/dash/bejne/jIaKqI-QirqwYKg.html

Difference with Zach Star Himself channel gets increasingly vague in this vid

Wait, isn't the axis of rotation of earth in 66° angle with the plane of it's revolution around the sun?

Nice

I can read!!

I'm in Miami :)

HEY ZACH Plzz answer my question I will be grateful to you.ANY BOOK RECOMMENDATIONS. It helped me a lot. I am a 10th grad student . Below is question. Please read every line before answering my question and try to answer as best as you can. I don't want to study math without true understanding.Conceptual knowledge is not understanding. All the Books that I have read till date describe things in an abstract manner without any context. And even worse, they always make assumptions that turns the material inaccessible.For a long time, the way I have done math in general is to sometimes just accept things as they are. For example, Pythagoras Theorem states the way to find the hypotenuse of a right angle triangle. How (the proof or 'why' it works)? Doesn't matter, just do it and you find the answer. Why forumula works.This has scaled up to my current position . While I enjoy math, and am very good at it from conventional standards (getting A/A* predicted on tests, and breezing through the books), I constantly feel that I dont really know where it comes from. Yes, the basics are there (a circles chord when bisected passes through the centre, proof by standard pattern spots in integration, etc) but I always find myself asking WHY thats true. I get the answer in the end but I dont really know what I am doing. This problem really shows itself when I deal with abstract questions (or 'fun' questions) you find in olympiads and the like. The solutions seem so simple and I cant help but appreciate them but for whatever reason I can rarely do them. The way I tried to overcome this is by covering topics I had just accepted to always work and understand their core concepts. And this relates to my question. I cant stop myself from asking WHY that work. Any book recommendations

☀😎AWESOME VIDEO!!! Loved it, so clearly explained!!! NEXT should be: "Analemmas" Here's the question: "If you were to walk out every day exactly at noon, assuming no clouds, and noted the sun's position... what shape would sun appear to trace?" I won't spoil the answer, and if you don't know, before you google the answer make a guess, Circle? Ellipse? Well, maybe... but not likely in your location on Earth... It's not what most people would expect. Okay one more WOW! And what blows people's minds, I know it did mine, okay... so after you know the shape, then you're informed: you've already seen the analemma if you've ever looked at an old maps or globe... Ok, mind blown? 🤯 and suddenly you say... "OH BLEEP! THAT'S WHAT'S IT'S FOR" yep... and you never thought twice about it, didn't realize what it was or how they were used. We forgot all about the old tech, back in the day this was useful information that people used before we had our modern technology, and THAT is why they put them on the maps... Analemmas are COOL too 😎 Cheers

You need a Nobel 🎉🎉