Roses and Tangent Functions | The Art of Polar Graphs
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- Опубліковано 5 жов 2024
- An introduction to making interesting looking graphs in polar mode.
As a challenge, figure out what the function to the first graph in the video was.
You can make your own graphs at: www.desmos.com
Type in "r = sin(theta)" and that should get you started.
This is a genuinely good video
Good to see the fan club is alive and well.
@@real_willbrown didn’t ask lol
@@jaiden4775 bro 💀
@@jaiden4775tf is wrong with you?
shu up @@Bruhman5
Polar graphing is literally the most beautiful thing in existence
Really lovely visualisations. Math should be taught more like this
Wow, why am I only being shown this now. What a well put together video! Hope that the algorithm spots your talent!
Would be really cool to see how reconceptualising shapes like annuluses (and toruses, in 3D) as these types of graphs can help us reconsider those shapes, maybe reveal insights or prove theorems.
This one video is enough for me to subscribe. Honestly fantastic animations and I can't wait to see the next video.
What a lovely video! Please make more! It seems so relaxing :)
Thanks for making such a great video and I'm glad the algorithm is beginning to recommend this video more. This amazing video deserves it. I think i finally figured out the graph at the start. Is it r=tan(sin(5theta))+3?
Also could you please make more videos if possible? I have really enjoyed watching your videos so far.
This dude deserves much, much more subs, likes and views, this video is so relaxing
i always comr back to these videos somehow
Climax where background music hits and animation goes wild is of level of Pixar storytelling oh my gosh
Finally a good video on youtube. This has completely changed my views on math ngl
Beautifully explained and beautifully demonstrated
This video is so beautiful and interesting.
I must study English first.
Hey. Will Brown. You’re awesome!
I give this video a gold star and I hope to see more like it in the future
My satisfaction is immeasurable and and my day is made. 😘
UA-cam algorithms be like: yep it's the time!! This 3 yo vid is going into your feed!
Good job tho, looks awesome!
We only brushed lightly on polar coordinates in Calculus III, so this was pretty amusing to learn! Nice video
relaxing video with maths. epic
"And Oh My Gosh, its a starfish!"
😂
Awesome Video!! You just made me love graphs, a topic in maths that I’ve always hated.
soon the algorithm will bless this video
3:10 my fav part :)
Art is really the good word, that video was so satisfying, I discovered a world x')
Yes! I subscribe
This was recommended to me...
Either I'm weird or this video is gonna have a million views next month.
And Ohh ma Gawd... it's a DOUGHNUT!!!
I like your style
Fantastic, i love this video. Have watched it so many times and it is so beautiful. Thank you.
Beauty of trigonometry explained excellently
Wonderful thank you
Blows me mind
This was beautiful
Amazing video! Please make more!
beautiful
This is a beautiful video
hey man, thanks a lot for your video, I am very interested in what you have planned, any idea on when you may do the next video?
Well it looks like I kind of forgot about this video, but I'll try and find the script I wrote for the next video and make it. The next video would be on "functions in functions" which might come out next week, no guarantees.
@@real_willbrown any updates? This video is so cool and I'd love to see more
@@BACollin I'll see what I can do...
@@real_willbrown Just found this. It's really well made and put together. Would love to see anything like this again!
@@real_willbrown I agree with the guy above me!
Man is chilled
3:58 is like witnessing the Big Bang
wonderful
these graphs are beautiful
Roses are red,
Tangents are blue,
Cosine is Green,
And Arc Cosine too.
❤️❤️❤️
So cool! What kind of equation is the purple shape?
Reddit brought me here, was not disappointed
This is great. Thank you
‘Twas awesome. Thanks :)
woooahh...how do you even animate those stuffs
Aditya ms I kind of was experimenting over the course of the video. I was using After Effects and used equations to animate the cubes moving around. I also tried using Grapher (the built in OS X app) which was how I animated the tangent functions that were overlaid, which required some tricky conditional statements. The last part I made with Processing, a java graphics library that makes it really easy to make that sort of thing. That was my favorite tool.
Great video!
could you plot the origin of coordinates? its really confusing without it
The function r = sin(1/2 θ) is extremely similar to the biggest shape in the mandelbrot fractal ! Is it related ?
What programm do you use to visualize the "roses"? I know you linked desmos, but desmos does not show the whole thing for me and you visualization looks cooler and better :)
OH MY GOSH ITS A DONUT
Nice video. When’s the next one?
This is stunning man! What software did you use?
desmos
holy shit that's beautiful
2:49 looks like the Mandelbrot shape... Wonder why it's so prevalent in math and real life. Anyone know the real name of this shape?
It's called the cardioid. Interestingly it's also the shape the light makes in the bottom of a cup.
👍
Awesome
And he never made another
With this pandemic, I suddenly have all this extra time...
Incredible video!
What music is on the background?
Me and my ukulele
@@real_willbrown oh, that’s really nice! You are so good at this!
When I put in r = sin(2/3 θ) into my TI 84 I only get 1/4 of the graph. Not the full iteration as shown here. Any ideas as to why?
2:49 for sure i think this is called a Cardiod or the heart shape from the Mandelbrot Set. I havent much remembered about fractals but am i right?
The equation for a cardioid shape is
r = sin(theta)+1
It actually made me really curious if they were the same shape, but I thought about it for a while, and it's slightly different.
@@real_willbrown hmm true
Does using phi as your coefficient do something special?
There'll be as many non-overlapping loops around as your calculator is set to draw. That's not a special feature of the golden ratio in particular but of all irrational numbers, so using sqrt(2), pi, e, etc. will all have similar effects.
Really could have used this 3 years ago
that sounds like the flute version of Philip Glass at the end there
Great
How do you make these animations?
Wow.
Oh my gosh its a donut!
The music sounds like Philip Glass
2:54 mandelbrot moment
That sad oboe
Soprano saxophone!
and oh mah gosh its a donert
It's like those Hindu geometric shapes
Bro ate desmos for breakfast 💀
Til you can make cult symbols with math
i read the description, the first graph’s function is
r=tan(sin(5θ))+3
nice, i thought it was sin(5θ)+2 and was wondering why it was slightly off
homestuck
nice
Wghoa.......................
This video is not as good as its music
omg i love your voice its so cute and thank you for the video
beautiful